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quant-ph/9506004 | null | Lajos Diosi | All local quantum states are mixtures of direct products | 7pp LaTex | null | null | null | quant-ph | null | According to Popescu's recent analysis [Phys. Rev. Lett. {\bf72}, 797
(1994)], {\it nonideal} measurements, rather than ideal ones, may be more
sensitive to reveal nonlocal correlations between distant parts of composite
quantum systems. The outcome statistics of joint nonideal measurements on local
states should by definition admit local hidden variable models. We prove that
the density operator of a local composite system must be convex mixture of the
subsystems' density operators. This result depends essentially on a plausible
consistency condition restricting the class of admissible local hidden variable
models.
| [
{
"version": "v1",
"created": "Tue, 6 Jun 1995 12:02:00 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Diosi",
"Lajos",
""
]
] |
quant-ph/9506005 | Marc Jaekel | Marc-Thierry Jaekel (Laboratoire de Physique Th\'eorique de l'Ecole
Normale Sup\'erieure) and Serge Reynaud (Laboratoire Kastler-Brossel) | Mechanical Effects of Radiation Pressure Quantum Fluctuations | 13 pages | Electron Theory and Quantum Electrodynamics: 100 Years Later, Ed.
J.P.Dowling, Plenum Press, New York (1997) 65 | null | LPTENS 95/5 | quant-ph | null | As revealed by space-time probing, mechanics and field theory come out as
complementary descriptions for motions in space-time. In particular, quantum
fields exert a radiation pressure on scatterers which results in mechanical
effects that persist in vacuum. They include mean forces due to quantum field
fluctuations, like Casimir forces, but also fluctuations of these forces and
additional forces linked to motion. As in classical electron theory, a moving
scatterer is submitted to a radiation reaction force which modifies its
motional response to an applied force. We briefly survey the mechanical effects
of quantum field fluctuations and discuss the consequences for stability of
motion in vacuum and for position fluctuations.
| [
{
"version": "v1",
"created": "Wed, 7 Jun 1995 14:30:40 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Jaekel",
"Marc-Thierry",
"",
"Laboratoire de Physique Théorique de l'Ecole\n Normale Supérieure"
],
[
"Reynaud",
"Serge",
"",
"Laboratoire Kastler-Brossel"
]
] |
quant-ph/9506006 | Marc Jaekel | Marc-Thierry Jaekel (Laboratoire de Physique Th\'eorique de l'Ecole
Normale Sup\'erieure) and Serge Reynaud (Laboratoire Kastler-Brossel) | Quantum Fluctuations and Inertia | 11 pages | Electron Theory and Quantum Electrodynamics: 100 Years Later, Ed.
J.P.Dowling, Plenum Press, New York (1997) 55 | null | LPTENS 95/4 | quant-ph | null | Vacuum field fluctuations exert a radiation pressure which induces mechanical
effects on scatterers. The question naturally arises whether the energy of
vacuum fluctuations gives rise to inertia and gravitation in agreement with the
general principles of mechanics. As a new approach to this question, we discuss
the mechanical effects of quantum field fluctuations on two mirrors building a
Fabry-Perot cavity. We first put into evidence that the energy related to
Casimir forces is an energy stored on field fluctuations as a result of
scattering time delays. We then discuss the forces felt by the mirrors when
they move within vacuum field fluctuations, and show that energy stored on
vacuum fluctuations contributes to inertia in conformity with the law of
inertia of energy. As a further consequence, inertial masses exhibit quantum
fluctuations with characteristic spectra in vacuum.
| [
{
"version": "v1",
"created": "Wed, 7 Jun 1995 14:58:17 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Jaekel",
"Marc-Thierry",
"",
"Laboratoire de Physique Théorique de l'Ecole\n Normale Supérieure"
],
[
"Reynaud",
"Serge",
"",
"Laboratoire Kastler-Brossel"
]
] |
quant-ph/9506007 | Marc Jaekel | Marc-Thierry Jaekel (Laboratoire de Physique Th\'eorique de l'Ecole
Normale Sup\'erieure) and Serge Reynaud (Laboratoire Kastler-Brossel) | Quantum Limits in Space-Time Measurements | 11 pages, to appear in Quantum and Semiclassical Optics | Quantum Semiclass. Opt. 7 (1995) 639 | 10.1088/1355-5111/7/4/018 | LPTENS 95/13 | quant-ph | null | Quantum fluctuations impose fundamental limits on measurement and space-time
probing. Although using optimised probe fields can allow to push sensitivity in
a position measurement beyond the "standard quantum limit", quantum
fluctuations of the probe field still result in limitations which are
determined by irreducible dissipation mechanisms. Fluctuation-dissipation
relations in vacuum characterise the mechanical effects of radiation pressure
vacuum fluctuations, which lead to an ultimate quantum noise for positions. For
macroscopic reflectors, the quantum noise on positions is dominated by
gravitational vacuum fluctuations, and takes a universal form deduced from
quantum fluctuations of space-time curvatures in vacuum. These can be
considered as ultimate space-time fluctuations, fixing ultimate quantum limits
in space-time measurements.
| [
{
"version": "v1",
"created": "Wed, 7 Jun 1995 15:25:37 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Jaekel",
"Marc-Thierry",
"",
"Laboratoire de Physique Théorique de l'Ecole\n Normale Supérieure"
],
[
"Reynaud",
"Serge",
"",
"Laboratoire Kastler-Brossel"
]
] |
quant-ph/9506008 | Michael Martin Nieto | Michael Martin Nieto and D. Rodney Truax | ARBITRARY-ORDER HERMITE GENERATING FUNCTIONS FOR COHERENT AND SQUEEZED
STATES | LaTeX, 8 pages | Phys.Lett. A208 (1995) 8 | 10.1016/0375-9601(95)00761-Q | LA-UR-95-1772 | quant-ph | null | For use in calculating higher-order coherent- and squeezed- state quantities,
we derive generalized generating functions for the Hermite polynomials. They
are given by $\sum_{n=0}^{\infty}z^{jn+k}H_{jn+k}(x)/(jn+k)!$, for arbitrary
integers $j\geq 1$ and $k\geq 0$. Along the way, the sums with the Hermite
polynomials replaced by unity are also obtained. We also evaluate the action of
the operators $\exp[a^j(d/dx)^j]$ on well-behaved functions and apply them to
obtain other sums.
| [
{
"version": "v1",
"created": "Wed, 7 Jun 1995 19:33:30 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Nieto",
"Michael Martin",
""
],
[
"Truax",
"D. Rodney",
""
]
] |
quant-ph/9506009 | null | Robert Bluhm and Alan Kostelecky | Long-Term Evolution and Revival Structure of Rydberg Wave Packets for
Hydrogen and Alkali-Metal Atoms | To appear in Physical Review A, vol. 51, June 1995 | Phys.Rev.A51:4767-4786,1995 | 10.1103/PhysRevA.51.4767 | IUHET 277, May 1994 | quant-ph | null | This paper begins with an examination of the revival structure and long-term
evolution of Rydberg wave packets for hydrogen. We show that after the initial
cycle of collapse and fractional/full revivals, which occurs on the time scale
$t_{\rm rev}$, a new sequence of revivals begins. We find that the structure of
the new revivals is different from that of the fractional revivals. The new
revivals are characterized by periodicities in the motion of the wave packet
with periods that are fractions of the revival time scale $t_{\rm rev}$. These
long-term periodicities result in the autocorrelation function at times greater
than $t_{\rm rev}$ having a self-similar resemblance to its structure for times
less than $t_{\rm rev}$. The new sequence of revivals culminates with the
formation of a single wave packet that more closely resembles the initial wave
packet than does the full revival at time $t_{\rm rev}$, i.e., a superrevival
forms. Explicit examples of the superrevival structure for both circular and
radial wave packets are given. We then study wave packets in alkali-metal
atoms, which are typically used in experiments. The behavior of these packets
is affected by the presence of quantum defects that modify the hydrogenic
revival time scales and periodicities. Their behavior can be treated
analytically using supersymmetry-based quantum-defect theory. We illustrate our
results for alkali-metal atoms with explicit examples of the revival structure
for radial wave packets in rubidium.
| [
{
"version": "v1",
"created": "Wed, 7 Jun 1995 16:13:18 GMT"
}
] | 2009-09-25T00:00:00 | [
[
"Bluhm",
"Robert",
""
],
[
"Kostelecky",
"Alan",
""
]
] |
quant-ph/9506010 | Don N. Page | Don N. Page (University of Alberta, Edmonton, Canada) | Sensible Quantum Mechanics: Are Only Perceptions Probabilistic? | LaTeX, 72 pages, updated with references to Chalmer's The Conscious
Mind, etc., and several new paragraphs added, including an experimental test | null | null | Alberta-Thy-05-95 | quant-ph gr-qc hep-th | null | Quantum mechanics may be formulated as Sensible Quantum Mechanics (SQM) so
that it contains nothing probabilistic, except, in a certain frequency sense,
conscious perceptions. Sets of these perceptions can be deterministically
realized with measures given by expectation values of positive-operator-valued
awareness operators in a quantum state of the universe which never jumps or
collapses. Ratios of the measures for these sets of perceptions can be
interpreted as frequency-type probabilities for many actually existing sets
rather than as propensities for potentialities to be actualized, so there is
nothing indeterministic in SQM. These frequency-type probabilities generally
cannot be given by the ordinary quantum "probabilities" for a single set of
alternatives. Probabilism, or ascribing probabilities to unconscious aspects of
the world, may be seen to be an aesthemamorphic myth.
No fundamental correlation or equivalence is postulated between different
perceptions (each being the entirety of a single conscious experience and thus
not in direct contact with any other), so SQM, a variant of Everett's
"many-worlds" framework, is a "many-perceptions" framework but not a
"many-minds" framework. Different detailed SQM theories may be tested against
experienced perceptions by the typicalities (defined herein) they predict for
these perceptions. One may adopt the Conditional Aesthemic Principle: among the
set of all conscious perceptions, our perceptions are likely to be typical.
An experimental test is proposed to compare SQM with a variant, SQMn.
| [
{
"version": "v1",
"created": "Wed, 7 Jun 1995 23:50:41 GMT"
},
{
"version": "v2",
"created": "Tue, 1 Jul 1997 05:40:21 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Page",
"Don N.",
"",
"University of Alberta, Edmonton, Canada"
]
] |
quant-ph/9506011 | Norbert Scheu | Norbert Scheu (D\'ep. de physique, universit\'e Laval) | Computation of Structure Functions From a Lattice Hamiltonian | 11 pages, three figures available from the author (minor changes) To
be submitted as a letter | null | null | null | quant-ph hep-th | null | We suggest to compute structure functions in the Hamiltonian formalism on a
momentum lattice using a physically motivated regularisation that links the
total parton number to the lattice size. We show for the $\phi ^4 _4$ theory
that our method allows to describe continuum physics. The critical line and the
renormalised mass spectrum close to that critical line are computed and scaling
behaviour is observed in good agreement with the semi-analytical results of
L{\"u}scher and Weisz and with other lattice simulations. We also demonstrate
that our method is able to reproduce the $Q^2$ behaviour of deep inelastic
structure functions and the typical peak at $x_B=0.$
| [
{
"version": "v1",
"created": "Thu, 8 Jun 1995 17:45:01 GMT"
},
{
"version": "v2",
"created": "Wed, 12 Jul 1995 21:11:03 GMT"
}
] | 2009-09-25T00:00:00 | [
[
"Scheu",
"Norbert",
"",
"Dép. de physique, université Laval"
]
] |
quant-ph/9506012 | Hoi Fung Chau | H. F. Chau and H.-K. Lo | One-way Functions In Reversible Computations | In REVTEX 3.0, with one figure. Minor changes. To appear in
Cryptologia | null | null | IASSNS-HEP-95/47 | quant-ph | null | One-way functions are used in modern cryto-systems as doortraps because their
inverse functions are supposed to be difficult to compute. Nonetheless with the
discovery of reversible computation, it seems that one may break a one-way
function by running a reversible computer backward. Here, we argue that
reversible computation alone poses no threat to the existence of one-way
functions because of the generation of ``garbage bits'' during computations.
Consequently, we prove a necessary and sufficient condition for a one-to-one
function to be a one-way in terms of the growth rate of the total number of
possible garbage bit configurations with the input size.
| [
{
"version": "v1",
"created": "Fri, 9 Jun 1995 03:15:14 GMT"
},
{
"version": "v2",
"created": "Sun, 1 Dec 1996 07:17:35 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Chau",
"H. F.",
""
],
[
"Lo",
"H. -K.",
""
]
] |
quant-ph/9506013 | Martin Haft | H. Saller, R. Breuninger, M. Haft | Quantum Fields a la Sylvester and Witt | 18 pages LaTeX file (62 kB), all macros are included | NuovoCim.A108:1225-1246,1995 | 10.1007/BF02820745 | MPI-PhT/95-32 | quant-ph hep-th | null | A structural explanation of the coupling constants in the standard model, i.e
the fine structure constant and the Weinberg angle, and of the gauge fixing
contributions is given in terms of symmetries and representation theory. The
coupling constants are normalizations of Lorentz invariantly embedded little
groups (spin and polarization) arising in a harmonic analysis of quantum vector
fields. It is shown that the harmonic analysis of massless fields requires an
extension of the familiar Fourier decomposition, containing also indefinite
unitary nondecomposable time representations. This is illustrated by the
nonprobabilistic contributions in the electromagnetic field.
| [
{
"version": "v1",
"created": "Fri, 9 Jun 1995 12:10:52 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Saller",
"H.",
""
],
[
"Breuninger",
"R.",
""
],
[
"Haft",
"M.",
""
]
] |
quant-ph/9506014 | Arkadiusz Jadczyk | Ph. Blanchard and A. Jadczyk | Quantum Mechanics with Event Dynamics | Extended version of the talk given by the second author at the
XXVII-th Symposium of Reports on Mathematical Physics, Torun, 6-9 December,
1994. To appear in Rep.Math.Phys. 14 pages of Latex, Revised version of June
15 has re-written algorithm in section 2.1 and several misprints corrected in
sections 2.2 and 3.1 | null | 10.1016/0034-4877(96)83622-6 | null | quant-ph cond-mat hep-th | null | Event generating algorithm corresponding to a linear master equation of
Lindblad's type is described and illustrated on two examples: that of a
particle detector and of a fuzzy clock. Relation to other approaches to
foundations of quantum theory and to description of quantum measurements is
briefly discussed.
| [
{
"version": "v1",
"created": "Mon, 12 Jun 1995 06:17:21 GMT"
},
{
"version": "v2",
"created": "Wed, 14 Jun 1995 02:27:38 GMT"
},
{
"version": "v3",
"created": "Wed, 14 Jun 1995 23:39:07 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Blanchard",
"Ph.",
""
],
[
"Jadczyk",
"A.",
""
]
] |
quant-ph/9506015 | Haret Rosu | H.C. Rosu | On Wolter's vortex in total reflection | replaced with published version | Revista Mexicana de Fisica 43 (March-April 1997) 240-247 | null | null | quant-ph | null | The "circulatory wave" ("die zirkulierende Welle") put into evidence in 1949
by Wolter (Wolter's vortex) in total reflection is interpreted as a phase
defect in the scalar theory of Green and Wolf of 1953, which is the Madelung
(hydrodynamic) representation of the optical field. Some comments are added on
its possible relevance for the Hamamatsu experiment aimed to clarify the
wave-particle duality at the "single photon" level of down-converted laser
beams
| [
{
"version": "v1",
"created": "Mon, 12 Jun 1995 03:29:00 GMT"
},
{
"version": "v2",
"created": "Wed, 26 Jun 1996 18:37:00 GMT"
},
{
"version": "v3",
"created": "Thu, 8 May 1997 21:05:11 GMT"
}
] | 2016-09-08T00:00:00 | [
[
"Rosu",
"H. C.",
""
]
] |
quant-ph/9506016 | Evan Reidell | Sam Gutmann (Department of Mathematics, Northeastern University) | Using Classical Probability To Guarantee Properties of Infinite Quantum
Sequences | 7 pages in LaTeX | null | 10.1103/PhysRevA.52.3560 | null | quant-ph hep-th | null | We consider the product of infinitely many copies of a spin-$1\over 2$
system. We construct projection operators on the corresponding nonseparable
Hilbert space which measure whether the outcome of an infinite sequence of
$\sigma^x$ measurements has any specified property. In many cases, product
states are eigenstates of the projections, and therefore the result of
measuring the property is determined. Thus we obtain a nonprobabilistic quantum
analogue to the law of large numbers, the randomness property, and all other
familiar almost-sure theorems of classical probability.
| [
{
"version": "v1",
"created": "Mon, 12 Jun 1995 16:32:48 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Gutmann",
"Sam",
"",
"Department of Mathematics, Northeastern University"
]
] |
quant-ph/9506017 | Arkadiusz Jadczyk | Ph. Blanchard and A. Jadczyk | Events and Piecewise Deterministic Dynamics in Event-Enhanced Quantum
Theory | to appear in Phys. Lett. A, 12 pages, Latex article.sty | null | 10.1016/0375-9601(95)00432-3 | null | quant-ph cond-mat hep-th | null | We enhance the standard formalism of quantum theory to enable events. The
concepts of experiment and of measurement are defined. Dynamics is given by
Liouville's equation that couples quantum system to a classical one. It implies
a unique Markov process involving quantum jumps, classical events and
describing sample histories of individual systems.
| [
{
"version": "v1",
"created": "Tue, 13 Jun 1995 02:07:13 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Blanchard",
"Ph.",
""
],
[
"Jadczyk",
"A.",
""
]
] |
quant-ph/9506018 | Svozil Karl | G. Krenn, J. Summhammer and K.Svozil | Interaction-Free Preparation | latex | Phys.Rev.A61:052102,2000 | 10.1103/PhysRevA.61.052102 | null | quant-ph | null | We demonstrate that the preparation of a very well localized atom beam is
possible without physical interaction. The preparation is based on the
selection of an adequate ensemble of atoms of an originally wide beam by means
of information obtained with a neutron interferometer. In such a case the
uncertainty relation can no longer be interpreted as a by-product of the
interaction between the system and the preparation apparatus.
| [
{
"version": "v1",
"created": "Tue, 13 Jun 1995 15:21:18 GMT"
},
{
"version": "v2",
"created": "Wed, 6 Dec 1995 14:33:25 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Krenn",
"G.",
""
],
[
"Summhammer",
"J.",
""
],
[
"Svozil",
"K.",
""
]
] |
quant-ph/9506019 | Michael R. Gallis | Michael R. Gallis | The Emergence of Classicality via Decoherence Described by Lindblad
Operators | 14 pages, RevTeX 3.0 | null | 10.1103/PhysRevA.53.655 | null | quant-ph gr-qc hep-th | null | Zurek, Habib and Paz [W. H. Zurek, S. Habib and J. P. Paz, Phys. Rev. Lett.
{\bf 70} (1993)\ 1187] have characterized the set of states of maximal
stability defined as the set of states having minimum entropy increase due to
interaction with an environment, and shown that coherent states are maximal for
the particular environment model examined. To generalize these results, I
consider entropy production within the Lindblad theory of open systems,
treating environment effects perturbatively. I characterize the maximally
predicitive states which emerge from several forms of effective dynamics,
including decoherence from spatially correlated noise. Under a variety of
conditions, coherent states emerge as the maximal states.
| [
{
"version": "v1",
"created": "Tue, 13 Jun 1995 15:28:00 GMT"
},
{
"version": "v2",
"created": "Tue, 13 Jun 1995 15:38:00 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Gallis",
"Michael R.",
""
]
] |
quant-ph/9506020 | Andreas Linke | H. D. Zeh | Decoherence: Basic Concepts and Their Interpretation | Draft for second edition of Chapter 2 of "Decoherence and the
Appearance of a Classical World in Quantum Theory" (D. Giulini et al.,
Springer 2003). Further comments, references, and a new section "Conclusions"
added. 42 pages, Latex (uses Springer macros), 3 eps-files | null | null | null | quant-ph cond-mat gr-qc | null | Introduction to the theory of decoherence. Contents: 1. The phenomenon of
decoherence: superpositions, superselection rules, decoherence by
"measurements". 2. Observables as a derivable concept. 3. The measurement
problem. 4. Density matrix, coarse graining, and "events". 5. Conclusions.
| [
{
"version": "v1",
"created": "Wed, 14 Jun 1995 14:34:05 GMT"
},
{
"version": "v2",
"created": "Sun, 1 Jul 2001 22:35:11 GMT"
},
{
"version": "v3",
"created": "Sun, 30 Jun 2002 19:32:00 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Zeh",
"H. D.",
""
]
] |
quant-ph/9506021 | Jonathan Halliwell | J. J. Halliwell | An Operator Derivation of the Path Decomposition Expansion | 9 pages Plain Tex | Phys. Lett. A207:237-242,1995 | 10.1016/0375-9601(95)00703-6 | Imperial College Preprint IC 94--95/41 | quant-ph | null | The path decomposition expansion is a path integral technique for decomposing
sums over paths in configuration space into sums over paths in different
spatial regions. It leads to a decomposition of the configuration space
propagator across arbitrary surfaces in configuration space. It may be used,
for example, in calculations of the distribution of first crossing times. The
original proof relied heavily on the position representation and in particular
on the properties of path integrals. In this paper, an elementary proof of the
path decomposition expansion is given using projection operators. This leads to
a version of the path decomposition expansion more general than the
configuration space form previously given. The path decomposition expansion in
momentum space is given as an example.
| [
{
"version": "v1",
"created": "Wed, 14 Jun 1995 15:20:19 GMT"
}
] | 2011-09-15T00:00:00 | [
[
"Halliwell",
"J. J.",
""
]
] |
quant-ph/9506022 | Anton N. Artemyev | A.N.Artemyev, V.M.Shabaev, and V.A.Yerokhin (Department of Physics,
St.Petersburg State University) | Relativistic nuclear recoil corrections to the energy levels of
hydrogen-like and high $Z$ lithium like atoms in all orders in $\alpha Z$ | 19 pages, latex, accepted for publication in Phys. Rev. A | null | 10.1103/PhysRevA.52.1884 | null | quant-ph | null | The relativistic nuclear recoil corrections to the energy levels of
low-laying states of hydrogen-like and high $Z$ lithium-like atoms in all
orders in $\alpha Z$ are calculated. The calculations are carried out using the
B-spline method for the Dirac equation.
For low $Z$ the results of the calculation are in good agreement with the
$\alpha Z$ -expansion results. It is found that the nuclear recoil
contribution, additional to the Salpeter's one, to the Lamb shift ($n=2$) of
hydrogen is $-1.32(6)\,kHz$. The total nuclear recoil correction to the energy
of the $(1s)^{2}2p_{\frac{1}{2}}-(1s)^{2}2s$ transition in lithium-like uranium
constitutes $-0.07\,eV$ and is largely made up of QED contributions.
| [
{
"version": "v1",
"created": "Wed, 14 Jun 1995 15:45:23 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Artemyev",
"A. N.",
"",
"Department of Physics,\n St.Petersburg State University"
],
[
"Shabaev",
"V. M.",
"",
"Department of Physics,\n St.Petersburg State University"
],
[
"Yerokhin",
"V. A.",
"",
"Department of Physics,\n St.Petersburg State University"
]
] |
quant-ph/9506023 | Claudia C. Eberlein | Claudia Eberlein (Dept of Physics, UIUC, Urbana, IL) | Sonoluminescence as quantum vacuum radiation | Latex file, 4 pages | Phys.Rev.Lett.76:3842-3845,1996 | 10.1103/PhysRevLett.76.3842 | P-95-05-037 | quant-ph cond-mat hep-th | null | Sonoluminescence is explained in terms of quantum radiation by moving
interfaces between media of different polarizability. It can be considered as a
dynamic Casimir effect, in the sense that it is a consequence of the imbalance
of the zero-point fluctuations of the electromagnetic field during the
non-inertial motion of a boundary. The transition amplitude from the vacuum
into a two-photon state is calculated in a Hamiltonian formalism and turns out
to be governed by the transition matrix-element of the radiation pressure.
Expressions for the spectral density and the total radiated energy are given.
| [
{
"version": "v1",
"created": "Thu, 15 Jun 1995 16:13:57 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Eberlein",
"Claudia",
"",
"Dept of Physics, UIUC, Urbana, IL"
]
] |
quant-ph/9506024 | Claudia C. Eberlein | Claudia Eberlein (Dept of Physics, UIUC, Urbana, IL) | Theory of quantum radiation observed as sonoluminescence | Latex file, 28 pages, postscript file with 3 figs. attached | Phys.Rev.A53:2772-2787,1996 | 10.1103/PhysRevA.53.2772 | P-95-06-039 | quant-ph cond-mat hep-th | null | Sonoluminescence is explained in terms of quantum radiation by moving
interfaces between media of different polarizability. In a stationary
dielectric the zero-point fluctuations of the electromagnetic field excite
virtual two-photon states which become real under perturbation due to motion of
the dielectric. The sonoluminescent bubble is modelled as an optically empty
cavity in a homogeneous dielectric. The problem of the photon emission by a
cavity of time-dependent radius is handled in a Hamiltonian formalism which is
dealt with perturbatively up to first order in the velocity of the bubble
surface over the speed of light. A parameter-dependence of the zero-order
Hamiltonian in addition to the first-order perturbation calls for a new
perturbative method combining standard perturbation theory with an adiabatic
approximation. In this way the transition amplitude from the vacuum into a
two-photon state is obtained, and expressions for the single-photon spectrum
and the total energy radiated during one flash are given both in full and in
the short-wavelengths approximation when the bubble is larger than the
wavelengths of the emitted light. It is shown analytically that the spectral
density has the same frequency-dependence as black-body radiation; this is
purely an effect of correlated quantum fluctuations at zero temperature. The
present theory clarifies a number of hitherto unsolved problems and suggests
explanations for several more. Possible experiments that discriminate this from
other theories of sonoluminescence are proposed.
| [
{
"version": "v1",
"created": "Thu, 15 Jun 1995 16:14:50 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Eberlein",
"Claudia",
"",
"Dept of Physics, UIUC, Urbana, IL"
]
] |
quant-ph/9506025 | Michael Martin Nieto | Michael Martin Nieto and D. Rodney Truax | Holstein-Primakoff/Bogoliubov Transformations and the Multiboson System | Two sections added and new title. LaTeX, 18 pages. Accepted by
Forschritte der Physik | Fortsch.Phys. 45 (1997) 145 | 10.1002/prop.2190450204 | LA-UR-95-1996 | quant-ph | null | As an aid to understanding the {\it displacement operator} definition of
squeezed states for arbitrary systems, we investigate the properties of systems
where there is a Holstein-Primakoff or Bogoliubov transformation. In these
cases the {\it ladder-operator or minimum-uncertainty} definitions of squeezed
states are equivalent to an extent displacement-operator definition. We
exemplify this in a setting where there are operators satisfying $[A,
A^{\dagger}] = 1$, but the $A$'s are not necessarily the Fock space $a$'s; the
multiboson system. It has been previously observed that the ground state of a
system often can be shown to to be a coherent state. We demonstrate why this
must be so. We close with a discussion of an alternative, effective definition
of displacement-operator squeezed states.
| [
{
"version": "v1",
"created": "Thu, 15 Jun 1995 17:24:03 GMT"
},
{
"version": "v2",
"created": "Wed, 22 May 1996 21:53:57 GMT"
}
] | 2015-06-26T00:00:00 | [
[
"Nieto",
"Michael Martin",
""
],
[
"Truax",
"D. Rodney",
""
]
] |
quant-ph/9506026 | Dr Zahid Malik | Z. Malik, C. Dewdney | Quantum Mechanics, Chaos and the Bohm Theory | Uses Revtex style, 4 figures, Also can be ftp'd anonymously from
ftp://zaphod.phys.port.ac.uk/pub/papers/paper1/ | null | null | null | quant-ph | null | The quantum counterpart of the classically chaotic kicked rotor is
investigated using Bohm's appraoch to quantum theory.
| [
{
"version": "v1",
"created": "Thu, 15 Jun 1995 19:45:58 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Malik",
"Z.",
""
],
[
"Dewdney",
"C.",
""
]
] |
quant-ph/9506027 | Dr Zahid Malik | C. Dewdney, Z Malik | Measurement, Decoherence and Chaos in Quantum Pinball | Latex, uses ioplppt style, two figures. Also can be ftp'd anonymously
from: ftp://zaphod.phys.port.ac.uk/pub/papers/paper2/ | null | 10.1016/0375-9601(96)00533-6 | null | quant-ph | null | The effect of introducing measuring devices in a ``quantum pinball'' system
is shown to lead to a chaotic evolution for the particle position as defined in
Bohm's approach to Quantum Mechanics.
| [
{
"version": "v1",
"created": "Fri, 16 Jun 1995 08:50:39 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Dewdney",
"C.",
""
],
[
"Malik",
"Z",
""
]
] |
quant-ph/9506028 | Chris Isham | C J Isham, (Imperial College, London) | Quantum logic and decohering histories | 14 pages LaTeX; Writeup of lecture given at conference ``Theories of
fundamental interactions'', Maynooth Eire 24--26 May 1995. | null | null | null | quant-ph gr-qc | null | An introduction is given to an algebraic formulation and generalisation of
the consistent histories approach to quantum theory. The main technical tool in
this theory is an orthoalgebra of history propositions that serves as a
generalised temporal analogue of the lattice of propositions of standard
quantum logic. Particular emphasis is placed on those cases in which the
history propositions can be represented by projection operators in a Hilbert
space, and on the associated concept of a `history group'.
| [
{
"version": "v1",
"created": "Fri, 16 Jun 1995 10:08:04 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Isham",
"C J",
""
]
] |
quant-ph/9506029 | Anu Venugopalan | Anu Venugopalan and R. Ghosh | Decoherence and the Quantum Zeno Effect | 4 pages, RevTeX two column format, one post-script figure available
on request from [email protected]. Minor changes done to generate ps
file without figure. Minor corrections added | null | null | null | quant-ph | null | The measurements in the optical test of quantum Zeno effect [Itano et al.
Phys. Rev. A\underbar{41} (1990) 2295) are analyzed using the
environment-induced decoherence theory, where the spontaneous emission lifetime
of the relevant level emerges as the 'decoherence time'. The implication of
this finite decoherence time in setting a fundamental limit on the
realizability of the condition of continuous measurements is investigated in
detail.
| [
{
"version": "v1",
"created": "Sun, 18 Jun 1995 08:07:14 GMT"
},
{
"version": "v2",
"created": "Tue, 20 Jun 1995 07:54:34 GMT"
},
{
"version": "v3",
"created": "Sat, 24 Jun 1995 15:39:38 GMT"
}
] | 2009-09-25T00:00:00 | [
[
"Venugopalan",
"Anu",
""
],
[
"Ghosh",
"R.",
""
]
] |
quant-ph/9506030 | Lior Goldenberg | Lior Goldenberg and Lev Vaidman | Applications of a Simple Formula | Latex, 7 pages | null | null | null | quant-ph | null | New applications of the formula $A |\psi\rangle = \langle A \rangle
|\psi\rangle + \Delta A |\psi_{\perp} \rangle$ are discussed. Simple
derivations of the Heisenberg uncertainty principle and of related inequalities
are presented. In addition, the formula is used in an instructive paradox which
clarifies a fundamental notion in quantum mechanics.
| [
{
"version": "v1",
"created": "Mon, 19 Jun 1995 00:29:22 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Goldenberg",
"Lior",
""
],
[
"Vaidman",
"Lev",
""
]
] |
quant-ph/9506031 | C. Anastopoulos | C. Anastopoulos | Decoherence and classical predictability of phase space histories | 34 pages, LATEX, revised version to avoid LATEX errors | Phys.Rev. E53 (1996) 4711-4728 | 10.1103/PhysRevE.53.4711 | Imperial College Preprint | quant-ph | null | We consider the decoherence of phase space histories in a class of quantum
Brownian motion models, consisting of a particle moving in a potential $V(x)$
in interaction with a heat bath at temperature $T$ and dissipation gamma, in
the Markovian regime. The evolution of the density operator for this open
system is thus described by a non-unitary master equation. The phase space
histories of the system are described by a class of quasiprojectors.
Generalizing earlier results of Hagedorn and Omn\`es, we show that a phase
space projector onto a phase space cell $\Gamma$ is approximately evolved under
the master equation into another phase space projector onto the classical
dissipative evolution of $\Gamma$, and with a certain amount of degradation due
to the noise produced by the environment. We thus show that histories of phase
space samplings approximately decohere, and that the probabilities for these
histories are peaked about classical dissipative evolution, with a width of
peaking depending on the size of the noise.
| [
{
"version": "v1",
"created": "Mon, 19 Jun 1995 11:44:22 GMT"
},
{
"version": "v2",
"created": "Wed, 21 Jun 1995 17:48:57 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Anastopoulos",
"C.",
""
]
] |
quant-ph/9506032 | null | Eric Chisolm, E. C. G. Sudarshan, and Thomas F. Jordan | Weak Decoherence and Quantum Trajectory Graphs | 12 pages, LaTeX, 3 figures (uses psfig), all in a uuencoded
compressed tar file | IJTP 35 (1996) 485-493 | 10.1007/BF02082819 | CPP-94-33 | quant-ph | null | Griffiths' ``quantum trajectories'' formalism is extended to describe weak
decoherence. The decoherence conditions are shown to severely limit the
complexity of histories composed of fine-grained events.
| [
{
"version": "v1",
"created": "Mon, 19 Jun 1995 19:34:47 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Chisolm",
"Eric",
""
],
[
"Sudarshan",
"E. C. G.",
""
],
[
"Jordan",
"Thomas F.",
""
]
] |
quant-ph/9506033 | Peter Nattermann | P. Nattermann and W. Scherer | Nonlinear Gauge Transformations and Exact Solutions of the
Doebner-Goldin Equation | 12 pages, LaTeX, to appear in "Nonlinear, Deformed and Irreversible
Quantum Systems", Proceedings of an International Symposium on Mathematical
Physics, World Scientific, Singapore 1995 | 'Nonlinear, Deformed, and Irreversible Quantum Systems', H.-D.
Doebner et.al. (Eds.), p. 188-199, World Scientific 1995 (ISBN 981-02-2266-1) | null | ASI-TPA/7/95 | quant-ph hep-th nlin.SI solv-int | null | Invariants of nonlinear gauge transformations of a family of nonlinear
Schr\"odinger equations proposed by Doebner and Goldin are used to characterize
the behaviour of exact solutions of these equations.
| [
{
"version": "v1",
"created": "Wed, 21 Jun 1995 07:15:48 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Nattermann",
"P.",
""
],
[
"Scherer",
"W.",
""
]
] |
quant-ph/9506034 | James Nicholas McElwaine | J. N. McElwaine (DAMTP) | Approximate and Exact Consistency of Histories | 32 pages, revtex, no figures. Explanations improved, one proof
extended. To appear Phys. Rev A 1st March 96 | null | 10.1103/PhysRevA.53.2021 | DAMTP 95-32 | quant-ph | null | The consistent histories formalism is discussed using path-projected states.
These are used to analyse various criteria for approximate consistency. The
connection between the Dowker-Halliwell criterion and sphere packing problems
is shown and used to prove several new bounds on the violation of probability
sum rules. The quantum Zeno effect is also analysed within the consistent
histories formalism and used to demonstrate some of the difficulties involved
in discussing approximate consistency. The complications associated with null
histories and infinite sets are briefly discussed.
| [
{
"version": "v1",
"created": "Wed, 21 Jun 1995 11:11:40 GMT"
},
{
"version": "v2",
"created": "Fri, 19 Jan 1996 16:29:20 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"McElwaine",
"J. N.",
"",
"DAMTP"
]
] |
quant-ph/9506035 | Luanne Neumann | Henry P. Stapp | Values and the Quantum Conception of Man | 10 pages, latexed, math_macros.tex, full postscript available from
http://theor1.lbl.gov/www/theorygroup/papers/37315.ps | null | null | LBL-37315 | quant-ph | null | Classical mechanics is based upon a mechanical picture of nature that is
fundamentally incorrect. It has been replaced at the basic level by a radically
different theory: quantum mechanics. This change entails an enormous shift in
our basic conception of nature, one that can profoundly alter the scientific
image of man himself. Self-image is the foundation of values, and the
replacement of the mechanistic self-image derived from classical mechanics by
one concordant with quantum mechanics may provide the foundation of a moral
order better suited to our times, a self-image that endows human life with
meaning, responsibility, and a deeper linkage to nature as a whole.
| [
{
"version": "v1",
"created": "Wed, 21 Jun 1995 15:27:30 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Stapp",
"Henry P.",
""
]
] |
quant-ph/9506036 | Elaine Remillard | S. Shelly Sharma, N. K. Sharma, and Larry Zamick | Atom in a $q$-Analog Harmonic Oscillator Trap | 13 pages, revtex, 4 figures available upon request | null | null | RU9544 | quant-ph nucl-th | null | We study the population inversion and Q-function of a two-level atom,
interacting with single-mode laser light field, in a $q$-analog harmonic
oscillator trap for increasing $q$. For $\tau=.003(q=e^{\tau})$ the collapses
and revivals of population inversion become well defined facilitating
experimental observation but for large $\tau \sim 0.1$ the time dependence of
population inversion is completely wiped out.
| [
{
"version": "v1",
"created": "Thu, 22 Jun 1995 20:05:08 GMT"
}
] | 2009-09-25T00:00:00 | [
[
"Sharma",
"S. Shelly",
""
],
[
"Sharma",
"N. K.",
""
],
[
"Zamick",
"Larry",
""
]
] |
quant-ph/9506037 | Peter Nattermann | P. Nattermann | Symmetry, Local Linearization, and Gauge Classification of the
Doebner-Goldin Equation | 17 pages, LaTeX, 1 figure, to appear in Reports on Mathematical
Physics | Rep. Math. Phys. 36(2/3), 387-402 | 10.1016/0034-4877(96)83634-2 | ASI-TPA/8/95 | quant-ph hep-th nlin.SI solv-int | null | For the family of nonlinear Schr\"odinger equations derived by H.-D.~Doebner
and G.A.~Goldin (J.Phys.A 27, 1771) we calculate the complete set of Lie
symmetries. For various subfamilies we find different finite and infinite
dimensional Lie symmetry algebras. Two of the latter lead to a local
transformation linearizing the particular subfamily. One type of these
transformations leaves the whole family of equations invariant, giving rise to
a gauge classification of the family. The Lie symmetry algebras and their
corresponding subalgebras are finally characterized by gauge invariant
parameters.
| [
{
"version": "v1",
"created": "Fri, 23 Jun 1995 12:51:36 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Nattermann",
"P.",
""
]
] |
quant-ph/9506038 | Jun Liu | J\`un L\'iu | Potential Effect: Aharonov-Bohm Effect of Simply Connected Region | Prediction of a new effect. Numerical estimate given for experimental
verification. The referees disagree with each other on the existence of this
effect. Letter-size paper with two figures | null | null | null | quant-ph | null | We study a generalization of Aharonov-Bohm effect, the potential effect. The
discussion is focused on field-free effects in simply connected region, which
obviously can not have any local field-flux. Among the published discussions
about this kind of effects, it is generally agreed that this kind of effects
does not exist due to gauge invariance. However, there are also opinions that
this effect is a trivial variation of Aharonov-Bohm effect and therefore there
is no need to check its existence. To my knowledge, it has never been tested.
My first goal here is to supply enough theoretical reason to motivate the
experimental test of this effect. I start with an intuitive derivation, then I
introduce a wave-front theory as a theoretical consideration. Logically, the
existence of potential effect implies the existence of the AB effect, but not
vice versa. The purpose of this paper is to provide a physical connection in
the opposite direction.
| [
{
"version": "v1",
"created": "Sun, 25 Jun 1995 18:24:15 GMT"
}
] | 2016-08-15T00:00:00 | [
[
"Líu",
"Jùn",
""
]
] |
quant-ph/9506039 | Ruediger Schack | R. Schack, T. A. Brun and I. C. Percival (Physics, QMW, University of
London) | Quantum state diffusion, localization and computation | 16 pages in LaTeX, 2 uuencoded postscript figures, submitted to J.
Phys. A | J.Phys. A28 (1995) 5401-5414 | 10.1088/0305-4470/28/18/028 | null | quant-ph chao-dyn nlin.CD | null | Numerical simulation of individual open quantum systems has proven advantages
over density operator computations. Quantum state diffusion with a moving basis
(MQSD) provides a practical numerical simulation method which takes full
advantage of the localization of quantum states into wave packets occupying
small regions of classical phase space. Following and extending the original
proposal of Percival, Alber and Steimle, we show that MQSD can provide a
further gain over ordinary QSD and other quantum trajectory methods of many
orders of magnitude in computational space and time. Because of these gains, it
is even possible to calculate an open quantum system trajectory when the
corresponding isolated system is intractable. MQSD is particularly advantageous
where classical or semiclassical dynamics provides an adequate qualitative
picture but is numerically inaccurate because of significant quantum effects.
The principles are illustrated by computations for the quantum Duffing
oscillator and for second harmonic generation in quantum optics. Potential
applications in atomic and molecular dynamics, quantum circuits and quantum
computation are suggested.
| [
{
"version": "v1",
"created": "Tue, 27 Jun 1995 14:53:00 GMT"
},
{
"version": "v2",
"created": "Wed, 28 Jun 1995 13:34:00 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Schack",
"R.",
"",
"Physics, QMW, University of\n London"
],
[
"Brun",
"T. A.",
"",
"Physics, QMW, University of\n London"
],
[
"Percival",
"I. C.",
"",
"Physics, QMW, University of\n London"
]
] |
quant-ph/9506040 | Laszlo E. Szabo | Laszlo E. Szabo | Does Quantum Mechanics Save Free Will? | 9 pages, LaTeX, 3 Figures | null | null | null | quant-ph | null | According to the widely accepted opinion, classical (statistical) physics
does not support objective indeterminism, since the statistical laws of
classical physics allow a deterministic hidden background, while --- as Arthur
Fine writes polemizing with Gr\"unbaum --- "{\sl the antilibertarian position
finds little room to breathe in a statistical world if we take laws of the
quantum theory as exemplars of the statistical laws in such a world. So, it
appears that, contrary to what Gr\"unbaum claims, the libertarians' 'could have
done otherwise' does indeed find support from indeterminism if we take the
indeterministic laws to be of the sort found in the quantum theory.}" In this
paper I will show that, quite the contrary, quantum mechanics does not save
free will. For instance, the EPR experiments are compatible with a
deterministic world. They admit a deterministic local hidden parameter
description if the deterministic model is 'allowed' to describe not only the
measurement outcomes, but also the outcomes of the 'decisions' whether this or
that measurement will be performed. So, the derivation of the freedom of the
will from quantum mechanics is a tautology: from the assumption that the world
is indeterministic it is derived that the world cannot be deterministic.
| [
{
"version": "v1",
"created": "Wed, 28 Jun 1995 14:34:29 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Szabo",
"Laszlo E.",
""
]
] |
quant-ph/9506041 | Roman R. Zapatrin | R.R. Zapatrin | Logic programming as quantum measurement | 11 pages, latex, paper accepted for publication in the International
Journal of Theoretical Physics | Int.J.Theor.Phys. 34 (1995) 1813-1821 | 10.1007/BF00676296 | null | quant-ph | null | The emphasis is made on the juxtaposition of (quantum~theorem) proving versus
quantum (theorem~proving). The logical contents of verification of the
statements concerning quantum systems is outlined. The Zittereingang (trembling
input) principle is introduced to enhance the resolution of predicate
satisfiability problem provided the processor is in a position to perform
operations with continuous input. A realization of Zittereingang machine by a
quantum system is suggested.
| [
{
"version": "v1",
"created": "Thu, 29 Jun 1995 00:29:22 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Zapatrin",
"R. R.",
""
]
] |
quant-ph/9506042 | Toshifumi Sakaguchi | Toshifumi Sakaguchi | Why we don't see the Schr\"odinger's cat state? | 9 pages, REVTeX, no figures | null | null | null | quant-ph | null | Schr\"odinger's cat puzzle is resolved. The reason why we do not see a
macroscopic superposition of states is cleared in the light of Everett's
formulation of quantum mechanics.
| [
{
"version": "v1",
"created": "Mon, 3 Jul 1995 03:10:12 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Sakaguchi",
"Toshifumi",
""
]
] |
quant-ph/9507001 | null | K. R. W. Jones | Newtonian Quantum Gravity | 38 pages, RevTex. Uses epsf. Five "tar.gz" compressed PostScipt
figures included separately | Austral.J.Phys.48:1055-1081,1995 | 10.1071/PH951055 | null | quant-ph | null | Puts forward a complete scenario for interpreting nonlinear field theories
highlighting the role played by gravitational self--energy in enabling a
consistent revival of the Schroedinger approach to unifying micro and macro
physics.
| [
{
"version": "v1",
"created": "Tue, 4 Jul 1995 04:18:29 GMT"
}
] | 2015-06-26T00:00:00 | [
[
"Jones",
"K. R. W.",
""
]
] |
quant-ph/9507002 | Piotr Garbaczewski | Ph. Blanchard, P.Garbaczewski, R. Olkiewicz | Nonnegative Feynman-Kac Kernels in Schr\"{o}dinger's Interpolation
Problem | Latex file, 25 pp | J.Math.Phys. 38 (1997) 1-15 | 10.1063/1.532004 | null | quant-ph | null | The existing formulations of the Schr\"{o}dinger interpolating dynamics,
which is constrained by the prescribed input-output statistics data, utilize
strictly positive Feynman-Kac kernels. This implies that the related Markov
diffusion processes admit vanishing probability densities only at the
boundaries of the spatial volume confining the process. We extend the framework
to encompass singular potentials and associated nonnegative Feynman-Kac-type
kernels. It allows to deal with general nonnegative solutions of the
Schr\"{o}dinger boundary data problem. The resulting stochastic processes are
capable of both developing and destroying nodes (zeros) of probability
densities in the course of their evolution.
| [
{
"version": "v1",
"created": "Wed, 5 Jul 1995 12:13:51 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Blanchard",
"Ph.",
""
],
[
"Garbaczewski",
"P.",
""
],
[
"Olkiewicz",
"R.",
""
]
] |
quant-ph/9507003 | null | J.Manjavidze | The unitary transformation of the path-integral measure | 14 pages in LaTeX, no figures | null | null | IP GAS-HE-7/95 | quant-ph | null | The aim of the article is to show how a coordinate transformation can be
applied to the path-integral formalism. For this purpose the unitary definition
of the quantum measure, which guarantees the conservation of total probability,
is offered. As the examples, the phase space transformation to the canonically
conjugate pare $(energy, time)$ and the transformation to the cylindrical
coordinates are shown. The transformations of the path-integral measure looks
classically but they can not be deduced from naive transformations of quantum
trajectories.
| [
{
"version": "v1",
"created": "Thu, 6 Jul 1995 14:40:08 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Manjavidze",
"J.",
""
]
] |
quant-ph/9507004 | Carlton Caves | Samuel L. Braunstein, Carlton M. Caves, and G. J. Milburn | Generalized uncertainty relations: Theory, examples, and Lorentz
invariance | 39 pages of text plus one figure; text formatted in LaTeX | null | 10.1006/aphy.1996.0040 | null | quant-ph | null | The quantum-mechanical framework in which observables are associated with
Hermitian operators is too narrow to discuss measurements of such important
physical quantities as elapsed time or harmonic-oscillator phase. We introduce
a broader framework that allows us to derive quantum-mechanical limits on the
precision to which a parameter---e.g., elapsed time---may be determined via
arbitrary data analysis of arbitrary measurements on $N$ identically prepared
quantum systems. The limits are expressed as generalized Mandelstam-Tamm
uncertainty relations, which involve the operator that generates displacements
of the parameter---e.g., the Hamiltonian operator in the case of elapsed time.
This approach avoids entirely the problem of associating a Hermitian operator
with the parameter. We illustrate the general formalism, first, with
nonrelativistic uncertainty relations for spatial displacement and momentum,
harmonic-oscillator phase and number of quanta, and time and energy and,
second, with Lorentz-invariant uncertainty relations involving the displacement
and Lorentz-rotation parameters of the Poincar\'e group.
| [
{
"version": "v1",
"created": "Fri, 7 Jul 1995 16:27:35 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Braunstein",
"Samuel L.",
""
],
[
"Caves",
"Carlton M.",
""
],
[
"Milburn",
"G. J.",
""
]
] |
quant-ph/9507005 | Hagen Kleinert | H. Kleinert | Variational Interpolation Algorithm between Weak- and Strong-Coupling
Expansions | PostScript, http://www.physik.fu-berlin.de/kleinert.html | Phys.Lett. A207 (1995) 133 | 10.1016/0375-9601(95)00683-T | null | quant-ph | null | For many physical quantities, theory supplies weak- and strong-coupling
expansions of the types $\sum a_n \alpha ^n$ and $ \alpha ^p\sum b_n
(\alpha^{-2/q) ^n$, respectively. Either or both of these may have a zero
radius of convergence. We present a simple interpolation algorithm which
rapidly converges for an increasing number of known expansion coefficients. The
accuracy is illustrated by calculating the ground state energies of the
anharmonic oscillator using only the leading large-order coefficient $b_0$
(apart from the trivial expansion coefficent $a_0=1/2$). The errors are less
than 0.5 for all g. The algorithm is applied to find energy and mass of the
Fr\"ohlich-Feynman polaron. Our mass is quite different from Feynman's
variational approach.
| [
{
"version": "v1",
"created": "Tue, 11 Jul 1995 05:48:03 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Kleinert",
"H.",
""
]
] |
quant-ph/9507006 | Don N. Page | Don N. Page (University of Alberta, Edmonton, Canada) | Attaching Theories of Consciousness to Bohmian Quantum Mechanics | LaTeX, 15 pages | null | null | Alberta-Thy-12-95 | quant-ph gr-qc hep-th | null | The de Broglie-Bohm theory of quantum mechanics (here simply called Bohmian
Mechanics or BM) [1-10] is an augmentation of ``bare'' quantum mechanics (the
bare theory being given by an algebra of operators and a quantum state that
sets the expectation values of these operators) that includes a definite
history or Bohmian trajectory. This definite trajectory gives BM a somewhat
more classical flavor than most other forms of quantum mechanics (QM) (though
the trajectory certainly has highly nonlocal and other nonclassical aspects in
its evolution), but to see whether or not this makes a difference for
observations by conscious beings, one needs to attach theories of conscious
perceptions to BM and other forms of QM. Here I shall propose various forms of
theories of consciousness for BM, which I shall call {\it Sensible Bohmian
Mechanics} (SBM), and compare them with a proposal I have made for a theory of
consciousness attached to bare QM, which I call {\it Sensible Quantum
Mechanics} (SQM) [11-15]. I find that only certain special forms of SBM would
give essentially similar predictions as SQM, though a wider class might be in
practice indistinguishable to any single observer. I also remain sceptical that
a viable complete form of SBM will turn out to be as simple a description of
the universe as a viable complete form of SQM, but of course it is too early to
know yet what the form of the simplest complete theory of our universe is.
| [
{
"version": "v1",
"created": "Tue, 11 Jul 1995 23:08:12 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Page",
"Don N.",
"",
"University of Alberta, Edmonton, Canada"
]
] |
quant-ph/9507007 | Marco Frasca | Marco Frasca | The Leading Order of the Theory of Strong Perturbations in Quantum
Mechanics | 14 pages, Latex | Nuovo Cim. B112 (1997) 1073-1078 | null | null | quant-ph hep-th | null | We prove that, for a quantum system that undergoes a strong perturbation, the
solution of the leading order equation of the strong field approximation
(M.Frasca, Phys. Rev. A, {\bf 45}, 43 (1992)) can be derived by the adiabatic
approximation. In fact, it is shown that greatest is the perturbation and more
similar the quantum system is to an adiabatic one, the solution being written
as a superposition of eigenstates of the time-dependent perturbation.A direct
consequence of this result is that the solution of the Schr\"{o}dinger equation
in the interaction picture, in the same approximation for the perturbation,
coincides with the one of the leading order of the strong field approximation.
The limitation due to the requirement that the perturbation has to commute at
different times is so overcome. Computational difficulties could arise to go to
higher orders. Beside, the method is not useful for perturbations that are
constant in time. In such a case a small time series is obtained, indicating
that this approximation is just an application to quantum mechanics of the
Kirkwood-Wigner expansion of statistical mechanics. The theory obtained in this
way is applied to a time-dependent two-level spin model, already considered for
the study of the Berry's phase, showing that a geometrical phase could arise if
a part of the hamiltonian is considered as a strong perturbation. No adiabatic
approximation is taken on the parameters of the hamiltonian, while their
cyclicity is retained.
| [
{
"version": "v1",
"created": "Wed, 12 Jul 1995 23:21:18 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Frasca",
"Marco",
""
]
] |
quant-ph/9507008 | null | Dorje Brody and Bernhard Meister | Minimum Decision Cost for Quantum Ensembles | 11 pages, uses RevTex | Phys.Rev.Lett. 76 (1996) 1-5 | 10.1103/PhysRevLett.76.1 | Imperial/TP/94-95/46 | quant-ph | null | For a given ensemble of $N$ independent and identically prepared particles,
we calculate the binary decision costs of different strategies for measurement
of polarised spin 1/2 particles. The result proves that, for any given values
of the prior probabilities and any number of constituent particles, the cost
for a combined measurement is always less than or equal to that for any
combination of separate measurements upon sub-ensembles. The Bayes cost, which
is that associated with the optimal strategy (i.e., a combined measurement) is
obtained in a simple closed form.
| [
{
"version": "v1",
"created": "Fri, 14 Jul 1995 10:51:16 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Brody",
"Dorje",
""
],
[
"Meister",
"Bernhard",
""
]
] |
quant-ph/9507009 | Hagen Kleinert | H. Kleinert | Variational Resummation of Divergent Series with known Large-Order
Behavior | Postscript, see also
http://www.physik.fu-berlin.de/~kleinert/institution.html | Phys.Lett. B360 (1995) 65-70 | 10.1016/0370-2693(95)01117-9 | null | quant-ph | null | Recently-developed variational perturbation expansions converge exponentially
fast for positive coupling constants. They do not, however, possess the correct
left-hand cut in the complex coupling constant plane, implying a wrong
large-order behavior of their Taylor expansion coefficients. We correct this
deficiency and present a method of resumming divergent series with their proper
large-order behavior. For a given set of expansion coefficients, knowledge of
the large-order behavior considerably improves the quality of the
approximation.
| [
{
"version": "v1",
"created": "Mon, 17 Jul 1995 11:14:02 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Kleinert",
"H.",
""
]
] |
quant-ph/9507010 | null | Lajos Diosi | Exact semiclassical wave equation for stochastic quantum optics | null | Quant.Semiclass.Opt.8:309-314,1996 | 10.1088/1355-5111/8/1/023 | null | quant-ph | null | Semiclassical (stochastic) wave equations are proposed for the coupled
dynamics of atomic quantum states and semiclassical radiation field. All
relevant predictions of standard unitary quantum dynamics are exactly
reproducible in the framework of stochastic wave equation model. We stress in
such a way that the concept of stochastic wave equations is not to be
restricted to the widely used Markovian approximation.
| [
{
"version": "v1",
"created": "Mon, 24 Jul 1995 15:33:00 GMT"
},
{
"version": "v2",
"created": "Tue, 26 Sep 1995 15:28:00 GMT"
},
{
"version": "v3",
"created": "Wed, 27 Sep 1995 13:19:00 GMT"
},
{
"version": "v4",
"created": "Mon, 2 Oct 1995 15:43:00 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Diosi",
"Lajos",
""
]
] |
quant-ph/9507011 | Salman Habib | James Anglin and Salman Habib | Classical Dynamics for Linear Systems: The Case of Quantum Brownian
Motion | 9 pages, LaTeX | Mod.Phys.Lett.A11:2655-2662,1996 | 10.1142/S0217732396002654 | LA-UR-95-2091 | quant-ph cond-mat gr-qc | null | It has long been recognized that the dynamics of linear quantum systems is
classical in the Wigner representation. Yet many conceptually important linear
problems are typically analyzed using such generally applicable techniques as
influence functionals and Bogoliubov transformations. In this Letter we point
out that the classical equations of motion provide a simpler and more intuitive
formalism for linear quantum systems. We examine the important problem of
Brownian motion in the independent oscillator model, and show that the quantum
dynamics is described directly and completely by a c-number Langevin equation.
We are also able to apply recent insights into quantum Brownian motion to show
that the classical Fokker-Planck equation is always local in time, regardless
of the spectral density of the environment.
| [
{
"version": "v1",
"created": "Tue, 25 Jul 1995 22:07:32 GMT"
}
] | 2011-08-04T00:00:00 | [
[
"Anglin",
"James",
""
],
[
"Habib",
"Salman",
""
]
] |
quant-ph/9507012 | David Politzer | H. David Politzer | Optical scattering angles and Bose-stimulated motion in cold atomic gas | 9 pages (REVTeX) and 1 figure (ps); revisions: some new comments
relevant to current experiments and one math typo; to appear in Physics
Letters A | null | 10.1016/0375-9601(95)00812-7 | CALT-68-2010 | quant-ph | null | Bose statistics imply a substantial enhancement at small angles for light
scattering off a cold, Bose gas. The enhancement increases dramatically at the
Bose-Einstein temperature. This phenomenon could be utilized to eliminate
almost entirely the heating of the gas by a weak probe light beam.
| [
{
"version": "v1",
"created": "Wed, 26 Jul 1995 21:24:48 GMT"
},
{
"version": "v2",
"created": "Thu, 11 Jan 1996 19:24:29 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Politzer",
"H. David",
""
]
] |
quant-ph/9507013 | null | M. Baldo, F. Raciti | Building scars for integrable systems | null | null | null | Dipartimento di Fisica, Universit\`a di Catania ref. 95/3 | quant-ph | null | It is shown, by means of a simple specific example, that for integrable
systems it is possible to build up approximate eigenfunctions, called {\it
asymptotic eigenfunctions}, which are concentrated as much as one wants to a
classical trajectory and have a lifetime as long as one wants. These states are
directly related to the presence of shell structures in the quantal spectrum of
the system. It is argued that the result can be extended to classically chaotic
system, at least in the asymptotic regime.
| [
{
"version": "v1",
"created": "Fri, 28 Jul 1995 14:28:12 GMT"
}
] | 2009-09-25T00:00:00 | [
[
"Baldo",
"M.",
""
],
[
"Raciti",
"F.",
""
]
] |
quant-ph/9507014 | null | J. Finkelstein (LBL and SJSU) | How to Measure a Beable | 11 pages, LaTeX, no figures | null | 10.1016/0375-9601(96)00260-5 | SJSU/TP-95-12 | quant-ph hep-th | null | A brief discussion is given of measurement within the context of a theory of
"beables", e.g. theories of de Broglie, Bohm, Bell, Vink, and also "modal"
theories. It is shown that even in an ideal von Neumann measurement of a
beable, the measured value may not agree with the value which the beable had
prior to the measurement.
| [
{
"version": "v1",
"created": "Sun, 30 Jul 1995 22:11:17 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Finkelstein",
"J.",
"",
"LBL and SJSU"
]
] |
quant-ph/9508001 | Daniel Rohrlich | J. Grunhaus, S. Popescu and D. Rohrlich | Jamming non-local quantum correlations | 10 pp, LaTeX | null | 10.1103/PhysRevA.53.3781 | TAUP-2263-95 | quant-ph | null | We present a possible scheme to tamper with non-local quantum correlations in
a way that is consistent with relativistic causality, but goes beyond quantum
mechanics. A non-local ``jamming" mechanism, operating within a certain
space-time window, would not violate relativistic causality and would not lead
to contradictory causal loops. The results presented in this Letter do not
depend on any model of how quantum correlations arise and apply to any jamming
mechanism.
| [
{
"version": "v1",
"created": "Wed, 2 Aug 1995 03:15:33 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Grunhaus",
"J.",
""
],
[
"Popescu",
"S.",
""
],
[
"Rohrlich",
"D.",
""
]
] |
quant-ph/9508002 | Domenico Giulini | Domenico Giulini | On Galilei Invariance in Quantum Mechanics and the Bargmann
Superselection Rule | 14 Pages, Plain-TeX, no figures | Annals Phys. 249 (1996) 222-235 | 10.1006/aphy.1996.0069 | Freiburg THEP-95/15 | quant-ph gr-qc | null | We reinvestigate Bargmann's superselection rule for the overall mass of $n$
particles in ordinary quantum mechanics with Galilei invariant interaction
potential. We point out that in order for mass to define a superselection rule
it should be considered as a dynamical variable. We present a minimal extension
of the original dynamics in which mass it treated as dynamical variable. Here
the classical symmetry group turns out to be given by an $\reals$-extension of
the Galilei group which formerly appeared only at the quantum level. There is
now no obstruction to implement an action of the classical symmetry group on
Hilbert space. We include some critical comments of a general nature on formal
derivations of superselection rules without dynamical context.
| [
{
"version": "v1",
"created": "Wed, 2 Aug 1995 17:07:46 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Giulini",
"Domenico",
""
]
] |
quant-ph/9508003 | Haret Rosu | H.C. Rosu, M.A. Reyes, O. Obreg\'on | Recurrence-shift relations for the polynomial functions of Aldaya,
Bisquert, and Navarro-Salas | there is a short version in The IV Wigner Symposium book (World
Scientific, 1996) pp. 466-469 | Revista Mexicana de Fisica 43 (March-April 1997) 224-231 | null | null | quant-ph hep-th | null | Using a simple factorization scheme we obtain the recurrence-shift relations
of the polynomial functions of Aldaya, Bisquert and Navarro-Salas (ABNS),
F_n^N(\frac\omega c\sqrtN x), i.e., one-step first-order differential relations
referring to N, as follows. Firstly, we apply the scheme to the polynomial
degree confirming the recurrence relations of Aldaya, Bisquert and
Navarro-Salas, but also obtaining another slightly modified pair. Secondly, the
factorization scheme is applied to the Gegenbauer polynomials to get the
recurrence relations with respect to their parameter. Next, we make use of
Nagel's result, showing the connection between Gegenbauer polynomials and the
ABNS functions, to write down the recurrence-shift relations for the latter
ones. Such relations may be used in the study of the spatial structure of
pair-creation processes in an Anti-de Sitter gravitational background
| [
{
"version": "v1",
"created": "Wed, 2 Aug 1995 18:02:00 GMT"
},
{
"version": "v2",
"created": "Wed, 24 Jan 1996 23:54:00 GMT"
},
{
"version": "v3",
"created": "Thu, 8 May 1997 18:54:31 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Rosu",
"H. C.",
""
],
[
"Reyes",
"M. A.",
""
],
[
"Obregón",
"O.",
""
]
] |
quant-ph/9508004 | Jonathan Halliwell | J.J.Halliwell and T.Yu | Alternative Derivation of the Hu-Paz-Zhang Master Equation for Quantum
Brownian Motion | 17 pages, Revtex | Phys.Rev. D53 (1996) 2012-2019 | 10.1103/PhysRevD.53.2012 | Imperial College preprint TP/94-95/55 | quant-ph | null | Hu, Paz and Zhang [ B.L. Hu, J.P. Paz and Y. Zhang, Phys. Rev. D {\bf 45}
(1992) 2843] have derived an exact master equation for quantum Brownian motion
in a general environment via path integral techniques. Their master equation
provides a very useful tool to study the decoherence of a quantum system due to
the interaction with its environment. In this paper, we give an alternative and
elementary derivation of the Hu-Paz-Zhang master equation, which involves
tracing the evolution equation for the Wigner function. We also discuss the
master equation in some special cases.
| [
{
"version": "v1",
"created": "Fri, 4 Aug 1995 15:08:42 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Halliwell",
"J. J.",
""
],
[
"Yu",
"T.",
""
]
] |
quant-ph/9508005 | Hoi Fung Chau | H. F. Chau and H.-K. Lo | Primality Test Via Quantum Factorization | Using REVTEX 3.0, AMS fonts required. Typos corrected. To appear in
Int.J.Mod.Phys.C | null | null | IASSNS-HEP-95/69 | quant-ph | null | We consider a probabilistic quantum implementation of a variable of the
Pocklington-Lehmer $N-1$ primality test using Shor's algorithm. O($\log^3 N
\log\log N \log\log\log N$) elementary q-bit operations are required to
determine the primality of a number $N$, making it (asymptotically) the fastest
known primality test. Thus, the potential power of quantum mechanical computers
is once again revealed.
| [
{
"version": "v1",
"created": "Sat, 5 Aug 1995 20:35:40 GMT"
},
{
"version": "v2",
"created": "Wed, 3 Jan 1996 15:22:26 GMT"
},
{
"version": "v3",
"created": "Sun, 1 Dec 1996 07:24:16 GMT"
}
] | 2016-09-08T00:00:00 | [
[
"Chau",
"H. F.",
""
],
[
"Lo",
"H. -K.",
""
]
] |
quant-ph/9508006 | Emanuel Knill | E. Knill | Approximation by Quantum Circuits | uuencoded, compressed postscript, LACES 68Q-95-29 | null | null | LANL report LAUR-95-2225 | quant-ph math.CO | null | In a recent preprint by Deutsch et al. [1995] the authors suggest the
possibility of polynomial approximability of arbitrary unitary operations on
$n$ qubits by 2-qubit unitary operations. We address that comment by proving
strong lower bounds on the approximation capabilities of g-qubit unitary
operations for fixed g. We consider approximation of unitary operations on
subspaces as well as approximation of states and of density matrices by quantum
circuits in several natural metrics. The ability of quantum circuits to
probabilistically solve decision problem and guess checkable functions is
discussed. We also address exact unitary representation by reducing the upper
bound by a factor of n^2 and by formalizing the argument given by Barenco et
al. [1995] for the lower bound. The overall conclusion is that almost all
problems are hard to solve with quantum circuits.
| [
{
"version": "v1",
"created": "Tue, 8 Aug 1995 23:23:12 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Knill",
"E.",
""
]
] |
quant-ph/9508007 | Emanuel Knill | E. Knill | Bounds for Approximation in Total Variation Distance by Quantum Circuits | uuencoded compressed postscript, LACES 68Q-95-30 | null | null | LANL report LAUR-95-2724 | quant-ph math.CO | null | It was recently shown that for reasonable notions of approximation of states
and functions by quantum circuits, almost all states and functions are
exponentially hard to approximate [Knill 1995]. The bounds obtained are
asymptotically tight except for the one based on total variation distance
(TVD). TVD is the most relevant metric for the performance of a quantum
circuit. In this paper we obtain asymptotically tight bounds for TVD. We show
that in a natural sense, almost all states are hard to approximate to within a
TVD of 2/e-\epsilon even for exponentially small \epsilon. The quantity 2/e is
asymptotically the average distance to the uniform distribution. Almost all
states with probability amplitudes concentrated in a small fraction of the
space are hard to approximate to within a TVD of 2-\epsilon. These results
imply that non-uniform quantum circuit complexity is non-trivial in any
reasonable model. They also reinforce the notion that the relative information
distance between states (which is based on the difficulty of transforming one
state to another) fully reflects the dimensionality of the space of qubits, not
the number of qubits.
| [
{
"version": "v1",
"created": "Tue, 8 Aug 1995 23:33:25 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Knill",
"E.",
""
]
] |
quant-ph/9508008 | Mohammad Ardehali | M. Ardehali | Quantum cryptography based on Wheeler's delayed choice experiment | 4 pages, LaTeX file, no figures | null | 10.1016/0375-9601(96)00368-4 | null | quant-ph | null | We describe a cryptographic protocol in which Wheeler's delayed choice
experiment is used to generate the key distribution. The protocol, which uses
photons polarized only along one axis, is secure against general attacks.
| [
{
"version": "v1",
"created": "Wed, 9 Aug 1995 06:39:05 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Ardehali",
"M.",
""
]
] |
quant-ph/9508009 | Daniel Rohrlich | D. Rohrlich and S. Popescu | Nonlocality as an axiom for quantum theory | 6 pp, plain TeX | null | null | null | quant-ph | null | Quantum mechanics and relativistic causality together imply nonlocality:
nonlocal correlations (that violate the CHSH inequality) and nonlocal equations
of motion (the Aharonov-Bohm effect). Can we invert the logical order? We
consider a conjecture that nonlocality and relativistic causality together
imply quantum mechanics. We show that correlations preserving relativistic
causality can violate the CHSH inequality more strongly than quantum
correlations. Also, we describe nonlocal equations of motion, preserving
relativistic causality, that do not arise in quantum mechanics. In these
nonlocal equations of motion, an experimenter ``jams" nonlocal correlations
between quantum systems.
| [
{
"version": "v1",
"created": "Wed, 9 Aug 1995 13:23:17 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Rohrlich",
"D.",
""
],
[
"Popescu",
"S.",
""
]
] |
quant-ph/9508010 | null | V.S. Olkhovsky, E. Recami, F. Raciti, A. Zaichenko | More About Tunnelling Times, the Dwell Time, and the ``Hartman Effect" | Accepted for publication on "Journal de Physique I" | null | 10.1051/jp1:1995202 | null | quant-ph cond-mat | null | In a recent review paper [{\em Phys. Reports} {\bf 214} (1992) 339] we
proposed, within conventional quantum mechanics, new definitions for the
sub-barrier tunnelling and reflection times. \ Aims of the present paper are: \
(i) presenting and analysing the results of various numerical calculations
(based on our equations) on the penetration and return times $<\tau_{\, \rm
Pen}>$, $<\tau_{\, \rm Ret}>$, during tunnelling {\em inside} a rectangular
potential barrier, for various penetration depths $x_{\rm f}$; \ (ii) putting
forth and discussing suitable definitions, besides of the mean values, also of
the {\em variances} (or dispersions) ${\rm D} \, {\tau_{\rm T}}$ and ${\rm D}
\, {\tau_{\, \rm R}}$ for the time durations of transmission and reflection
processes; \ (iii) mentioning, moreover, that our definition $<\tau_{\rm T}>$
for the average transmission time results to constitute an {\em improvement} of
the ordinary dwell--time ${\ove \tau}^{\rm Dw}$ formula: \ (iv) commenting, at
last, on the basis of our {\em new} numerical results, upon some recent
criticism by C.R.Leavens. \ \ We stress that our numerical evaluations {\em
confirm} that our approach implied, and implies, the existence of the {\em
Hartman effect}: an effect that in these days (due to the theoretical
connections between tunnelling and evanescent--wave propagation) is receiving
---at Cologne, Berkeley, Florence and Vienna--- indirect, but quite
interesting, experimental verifications. \ Eventually, we briefly analyze some
other definitions of tunnelling times.
| [
{
"version": "v1",
"created": "Thu, 10 Aug 1995 15:10:43 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Olkhovsky",
"V. S.",
""
],
[
"Recami",
"E.",
""
],
[
"Raciti",
"F.",
""
],
[
"Zaichenko",
"A.",
""
]
] |
quant-ph/9508011 | Domenico Giulini | Domenico Giulini | Quantum Mechanics On Spaces With Finite Fundamental Group | 40 Pages, Plain-TeX, no figures | Helv. Phys. Acta 68 (1995) 438 | null | Freiburg THEP-95/16 | quant-ph gr-qc | null | We consider in general terms dynamical systems with finite-dimensional,
non-simply connected configuration-spaces. The fundamental group is assumed to
be finite. We analyze in full detail those ambiguities in the quantization
procedure that arise from the non-simply connectedness of the classical
configuration space. We define the quantum theory on the universal cover but
restrict the algebra of observables $\O$ to the commutant of the algebra
generated by deck-transformations. We apply standard superselection principles
and construct the corresponding sectors. We emphasize the relevance of all
sectors and not just the abelian ones.
| [
{
"version": "v1",
"created": "Wed, 16 Aug 1995 18:14:03 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Giulini",
"Domenico",
""
]
] |
quant-ph/9508012 | Tad Hogg | Tad Hogg (Xerox Palo Alto Research Center) | Quantum Computing and Phase Transitions in Combinatorial Search | 29 pages, uuencoded tar compressed postscript in a self-unpacking
shell script created using the uufiles script. For related information on
phase transitions in search see
ftp://parcftp.xerox.com/pub/dynamics/constraints.html | J. of Artificial Intelligence Research 4,91-128 (1996) | null | null | quant-ph | null | We introduce an algorithm for combinatorial search on quantum computers that
is capable of significantly concentrating amplitude into solutions for some NP
search problems, on average. This is done by exploiting the same aspects of
problem structure as used by classical backtrack methods to avoid unproductive
search choices. This quantum algorithm is much more likely to find solutions
than the simple direct use of quantum parallelism. Furthermore, empirical
evaluation on small problems shows this quantum algorithm displays the same
phase transition behavior, and at the same location, as seen in many previously
studied classical search methods. Specifically, difficult problem instances are
concentrated near the abrupt change from underconstrained to overconstrained
problems.
| [
{
"version": "v1",
"created": "Wed, 16 Aug 1995 21:11:43 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Hogg",
"Tad",
"",
"Xerox Palo Alto Research Center"
]
] |
quant-ph/9508013 | Alain Joye | Alain Joye (Centre de Physique Th\'eorique, C.N.R.S. Marseille and
Phymat, Universit\'e de Toulon et du Var) | Exponential Asymptotics in a Singular Limit for $n$-Level Scattering
Systems | 35 pages, Latex | null | null | CPT-95/P.3216 | quant-ph | null | The singular limit $\eps\ra 0$ of the $S$-matrix associated with the equation
$i\eps d\psi(t)/dt=H(t)\psi(t)$ is considered, where the analytic generator
$H(t)\in M_n(\C)$ is such that its spectrum is real and non-degenerate for all
$t\in\R$. Sufficient conditions allowing to compute asymptotic formulas for the
exponentially small off-diagonal elements of the $S$-matrix as $\eps\ra 0$ are
explicited and a wide class of generators for which these conditions are
verified is defined. These generators are obtained by means of generators whose
spectrum exhibits eigenvalue crossings which are perturbed in such a way that
these crossings turn to avoided crossings. The exponentially small asymptotic
formulas which are derived are shown to be valid up to exponentially small
relative error, by means of a joint application of the complex WKB method
together with superasymptotic renormalization. The application of these results
to the study of quantum adiabatic transitions in the time dependent
Schr\"odinger equation and of the semiclassical scattering properties of the
multichannel stationary Schr\"odinger equation closes this paper. The results
presented here are a generalization to $n$-level systems, $n\geq 2$, of results
previously known for $2$-level systems only.
| [
{
"version": "v1",
"created": "Wed, 16 Aug 1995 20:36:03 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Joye",
"Alain",
"",
"Centre de Physique Théorique, C.N.R.S. Marseille and\n Phymat, Université de Toulon et du Var"
]
] |
quant-ph/9508014 | null | Euan J. Squires | Lorentz-invariant Bohmian Mechanics | 14 pages, tex, no figures, this replacement removes an unecessary
macro | null | null | null | quant-ph | null | A derivation of the Bohm model, and some general comments about it, are
given. A modification of the model which is formally local and
Lorentz-invariant is introduced, and its properties studied for a simple
experiment.
| [
{
"version": "v1",
"created": "Fri, 18 Aug 1995 10:50:37 GMT"
},
{
"version": "v2",
"created": "Mon, 21 Aug 1995 09:28:18 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Squires",
"Euan J.",
""
]
] |
quant-ph/9508015 | null | Alan Kostelecky | Atomic Supersymmetry, Oscillators, and the Penning Trap | published festschrift; publication information on cover page macro
added | null | null | IUHET 227 | quant-ph | null | This paper begins with some background information and a summary of results
in atomic supersymmetry. The connection between the supersymmetric Coulomb and
oscillator problems in arbitrary dimensions is outlined. Next, I treat the
issue of finding a description of supersymmetry-based quantum-defect theory in
terms of oscillators. A model with an anharmonic term that yields analytical
eigenfunctions is introduced to solve this problem in arbitrary dimensions.
Finally, I show that geonium atoms (particles contained in a Penning trap)
offer a realization of a multidimensional harmonic oscillator in an idealized
limit. The anharmonic theory presented here provides a means of modeling the
realistic case.
| [
{
"version": "v1",
"created": "Mon, 21 Aug 1995 17:01:59 GMT"
},
{
"version": "v2",
"created": "Tue, 22 Aug 1995 05:50:26 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Kostelecky",
"Alan",
""
]
] |
quant-ph/9508016 | null | J. Finkelstein (LBL and SJSU) | Can Future Events Influence the Present? | 3 pages, LaTeX, no figures | null | null | SJSU/TP-95-13 | quant-ph hep-th | null | Widom, Srivastava, and Sassaroli have published [Phys. Lett. A 203, 255
(1995)] a calculation which purports to show that "future events can affect
present events". In this note an error in their calculation is identified.
| [
{
"version": "v1",
"created": "Mon, 21 Aug 1995 22:39:22 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Finkelstein",
"J.",
"",
"LBL and SJSU"
]
] |
quant-ph/9508017 | Vall A. N. | A.N.Vall, S.E.Korenblit, V.M.Leviant and A.V.Sinitskaya | One-particle excitations and bound states in non-relativistic current
$\times$ current model | 28 pages, one table | null | null | ISU-IAP.Th95-02, Irkutsk | quant-ph | null | Vacuum structure, one-particle excitations' spectra and bound states of these
excitations are studied in frame of non-relativistic quantum field model with
current $\times$ current type interaction. Hidden symmetry of the model is
found. It could be broken or exact depending on the coupling constant value.
The effect of "piercing" vacuum , generating the appearance of heavy fermionic
excitations, could occur in the spontaneously broken phase.
| [
{
"version": "v1",
"created": "Fri, 18 Aug 1995 04:45:13 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Vall",
"A. N.",
""
],
[
"Korenblit",
"S. E.",
""
],
[
"Leviant",
"V. M.",
""
],
[
"Sinitskaya",
"A. V.",
""
]
] |
quant-ph/9508018 | Sandu Popescu | Y. Aharonov, S. Nussinov, S. Popescu and B. Reznik | Aharonov-Bohm Type Forces Between Magnetic Fluxons | 10 pages, latex, no fig | null | null | null | quant-ph cond-mat hep-th supr-con | null | Forces related to A-B phases between fluxons with $\Phi=\alpha\Phi_0\ \ \ $
$\alpha\ne integer$ are discussed. We find a $\alpha^2\ln(r)$ type interaction
screened on a scale $\lambda_s$. The forces exist only when the fluxons are
actually immersed in the region with non vanishing charge density and are
periodic in $\alpha$. We briefly comment on the problem of observing such
forces.
| [
{
"version": "v1",
"created": "Tue, 22 Aug 1995 16:30:53 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Aharonov",
"Y.",
""
],
[
"Nussinov",
"S.",
""
],
[
"Popescu",
"S.",
""
],
[
"Reznik",
"B.",
""
]
] |
quant-ph/9508019 | null | Robert Bluhm and Alan Kostelecky | Radial Squeezed States and Rydberg Wave Packets | published in Physical Review A | Phys.Rev.A48:4047-4050,1993 | 10.1103/PhysRevA.48.R4047 | IUHET 255 | quant-ph | null | We outline an analytical framework for the treatment of radial Rydberg wave
packets produced by short laser pulses in the absence of external electric and
magnetic fields. Wave packets of this type are localized in the radial
coordinates and have p-state angular distributions. We argue that they can be
described by a particular analytical class of squeezed states, called radial
squeezed states. For hydrogenic Rydberg atoms, we discuss the time evolution of
the corresponding hydrogenic radial squeezed states. They are found to undergo
decoherence and collapse, followed by fractional and full revivals. We also
present their uncertainty product and uncertainty ratio as functions of time.
Our results show that hydrogenic radial squeezed states provide a suitable
analytical description of hydrogenic Rydberg atoms excited by short-pulsed
laser fields.
| [
{
"version": "v1",
"created": "Tue, 22 Aug 1995 17:01:59 GMT"
}
] | 2009-09-25T00:00:00 | [
[
"Bluhm",
"Robert",
""
],
[
"Kostelecky",
"Alan",
""
]
] |
quant-ph/9508020 | null | Robert Bluhm and Alan Kostelecky | Atomic Supersymmetry, Rydberg Wave Packets, and Radial Squeezed States | published in Physical Review A | Phys.Rev.A49:4628-4640,1994 | 10.1103/PhysRevA.49.4628 | IUHET 256 | quant-ph | null | We study radial wave packets produced by short-pulsed laser fields acting on
Rydberg atoms, using analytical tools from supersymmetry-based quantum-defect
theory. We begin with a time-dependent perturbative calculation for
alkali-metal atoms, incorporating the atomic-excitation process. This provides
insight into the general wave packet behavior and demonstrates agreement with
conventional theory. We then obtain an alternative analytical description of a
radial wave packet as a member of a particular family of squeezed states, which
we call radial squeezed states. By construction, these have close to minimum
uncertainty in the radial coordinates during the first pass through the outer
apsidal point. The properties of radial squeezed states are investigated, and
they are shown to provide a description of certain aspects of Rydberg atoms
excited by short-pulsed laser fields. We derive expressions for the time
evolution and the autocorrelation of the radial squeezed states, and we study
numerically and analytically their behavior in several alkali-metal atoms. Full
and fractional revivals are observed. Comparisons show agreement with other
theoretical results and with experiment.
| [
{
"version": "v1",
"created": "Wed, 23 Aug 1995 14:36:41 GMT"
}
] | 2009-09-25T00:00:00 | [
[
"Bluhm",
"Robert",
""
],
[
"Kostelecky",
"Alan",
""
]
] |
quant-ph/9508021 | Ruediger Schack | I. C. Percival (Physics, QMW, University of London) | Quantum space-time fluctuations and primary state diffusion | 17 pages in Plain TeX, submitted to Proc. Roy. Soc. A | null | 10.1098/rspa.1995.0139 | null | quant-ph gr-qc | null | Nondifferentiable fluctuations in space-time on a Planck scale introduce
stochastic terms into the equations for quantum states, resulting in a proposed
new foundation for an existing alternative quantum theory, primary state
diffusion (PSD). Planck-scale stochastic space-time structure results in
quantum fluctuations, whilst larger-scale curvature is responsible for
gravitational forces. The gravitational field and the quantum fluctuation field
are the same, differing only in scale. The quantum mechanics of small systems,
classical mechanics of large systems and the physics of quantum experiments are
all derived dynamically, without any prior division into classical and quantum
domains, and without any measurement hypothesis. Unlike the earlier derivation
of PSD, the new derivation, based on a stochastic space-time differential
geometry, has essentially no free parameters. However many features of this
structure remain to be determined. The theory is falsifiable in the laboratory,
and critical matter interferometry experiments to distinguish it from ordinary
quantum mechanics may be feasible within the next decade.
| [
{
"version": "v1",
"created": "Thu, 24 Aug 1995 14:51:00 GMT"
}
] | 2015-06-26T00:00:00 | [
[
"Percival",
"I. C.",
"",
"Physics, QMW, University of London"
]
] |
quant-ph/9508022 | Todd A. Brun | Todd A. Brun (Physics. QMW, University of London) | An Example of the Decoherence Approach to Quantum Dissipative Chaos | Standard LaTeX, 15 pages + 2 figures (uuencoded postscript), to
appear in Physics Letters A, October 1995 | null | 10.1016/0375-9601(95)00605-3 | null | quant-ph chao-dyn nlin.CD | null | Quantum chaos---the study of quantized nonintegrable Hamiltonian systems---is
an extremely well-developed and sophisticated field. By contrast, very little
work has been done in looking at quantum versions of systems which classically
exhibit {\it dissipative} chaos. Using the decoherence formalism of Gell-Mann
and Hartle, I find a quantum mechanical analog of one such system, the forced
damped Duffing oscillator. I demonstrate the classical limit of the system, and
discuss its decoherent histories. I show that using decoherent histories, one
can define not only the quantum map of an entire density operator, but can find
an analog to the Poincar\'e map of the individual trajectory. Finally, I argue
the usefulness of this model as an example of quantum dissipative chaos, as
well as of a practical application of the decoherence formalism to an
interesting problem.
| [
{
"version": "v1",
"created": "Thu, 24 Aug 1995 15:47:00 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Brun",
"Todd A.",
"",
"Physics. QMW, University of London"
]
] |
quant-ph/9508023 | Marco Frasca | Marco Frasca | The Higher Orders of the Theory of Strong Perturbations in Quantum
Mechanics and the Secularity Problem | 13 pages, Latex | NuovoCim.B111:957-962,1996 | 10.1007/BF02743291 | null | quant-ph hep-th | null | We solve the higher order equations of the theory of the strong perturbations
in quantum mechanics given in M. Frasca, Phys. Rev. A 45, 43 (1992), by
assuming that, at the leading order, the wave function goes adiabatically. This
is accomplished by deriving the unitary operator of adiabatic evolution for the
leading order. In this way it is possible to show that at least one of the
causes of the problem of phase-mixing, whose effect is the polynomial increase
in time of the perturbation terms normally called secularities, arises from the
shifts of the perturbation energy levels due to the unperturbed part of the
hamiltonian. An example is given for a two-level system that, anyway, shows a
secularity at second order also in the standard theory of small perturbations.
The theory is applied to the quantum analog of a classical problem that can
become chaotic, a particle under the effect of two waves of different
amplitudes, frequencies and wave numbers.
| [
{
"version": "v1",
"created": "Thu, 24 Aug 1995 23:02:27 GMT"
},
{
"version": "v2",
"created": "Fri, 5 Apr 1996 19:20:34 GMT"
},
{
"version": "v3",
"created": "Fri, 13 Sep 1996 17:12:35 GMT"
}
] | 2016-09-08T00:00:00 | [
[
"Frasca",
"Marco",
""
]
] |
quant-ph/9508024 | null | Robert Bluhm and Alan Kostelecky | Long-Term Evolution and Revival Structure of Rydberg Wave Packets | published in Phys. Lett. A 200, 308 (1995) | Phys.Lett.A200:308,1995 | 10.1016/0375-9601(95)00186-7 | IUHET 275 | quant-ph | null | It is known that, after formation, a Rydberg wave packet undergoes a series
of collapses and revivals within a time period called the revival time, $t_{\rm
rev}$, at the end of which it is close to its original shape. We study the
behavior of Rydberg wave packets on time scales much greater than $t_{\rm
rev}$. We show that after a few revival cycles the wave packet ceases to reform
at multiples of the revival time. Instead, a new series of collapses and
revivals commences, culminating after a time period $t_{\rm sr} \gg t_{\rm
rev}$ with the formation of a wave packet that more closely resembles the
initial packet than does the full revival at time $t_{\rm rev}$. Furthermore,
at times that are rational fractions of $t_{\rm sr}$, the square of the
autocorrelation function exhibits large peaks with periodicities that can be
expressed as fractions of the revival time $t_{\rm rev}$. These periodicities
indicate a new type of fractional revival occurring for times much greater than
$t_{\rm rev}$. A theoretical explanation of these effects is outlined.
| [
{
"version": "v1",
"created": "Thu, 24 Aug 1995 16:53:45 GMT"
}
] | 2009-09-25T00:00:00 | [
[
"Bluhm",
"Robert",
""
],
[
"Kostelecky",
"Alan",
""
]
] |
quant-ph/9508025 | null | Robert Bluhm and Alan Kostelecky | The Revival Structure of Rydberg Wave Packets Beyond the Revival Time | proceedings, Coherence and Quantum Optics VII | null | null | IUHET 305, June 1995 | quant-ph | null | After a Rydberg wave packet forms, it is known to undergo a series of
collapses and revivals within a time period called the revival time $t_{\rm
rev}$, at the end of which it resembles its original shape. We study the
behavior of Rydberg wave packets on time scales much greater than $t_{\rm
rev}$. We find that after a few revival cycles the wave packet ceases to reform
at multiples of the revival time. Instead, a new series of collapses and
revivals commences, culminating after a time period $t_{\rm sr} \gg t_{\rm
rev}$ with the formation of a wave packet that more closely resembles the
initial packet than does the full revival at time $t_{\rm rev}$. Furthermore,
at times that are rational fractions of $t_{\rm sr}$, we show that the motion
of the wave packet is periodic with periodicities that can be expressed as
fractions of the revival time $t_{\rm rev}$. These periodicities indicate a new
type of fractional revival, occurring for times much greater than $t_{\rm
rev}$. We also examine the effects of quantum defects and laser detunings on
the revival structure of Rydberg wave packets for alkali-metal atoms.
| [
{
"version": "v1",
"created": "Tue, 29 Aug 1995 09:47:20 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Bluhm",
"Robert",
""
],
[
"Kostelecky",
"Alan",
""
]
] |
quant-ph/9508026 | null | Robert Bluhm and Alan Kostelecky | Superrevivals of Rydberg Wave Packets | to appear in the Proceedings of the Fourth Drexel Symposium on
Quantum Nonintegrability | null | null | IUHET 286 | quant-ph | null | The revival structure and evolution of Rydberg wave packets are studied on a
time scale much greater than the revival time $t_{\rm rev}$. We find a new
level of revival structure and periodic motion different from that of the known
fractional revivals. The new sequence of revivals culminates with the formation
of a wave packet that more closely resembles the initial packet than does the
full revival at time $t_{\rm rev}$. We refer to such a revival as a
superrevival. We also show that an initial radial wave packet may be described
as a type of squeezed state known as a radial squeezed state. Our results apply
not only for hydrogenic wave packets, but for wave packets in alkali-metal
atoms as well in the context of quantum defect theory.
| [
{
"version": "v1",
"created": "Tue, 29 Aug 1995 09:26:24 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Bluhm",
"Robert",
""
],
[
"Kostelecky",
"Alan",
""
]
] |
quant-ph/9508027 | Peter W. Shor | Peter W. Shor (AT&T Research) | Polynomial-Time Algorithms for Prime Factorization and Discrete
Logarithms on a Quantum Computer | 28 pages, LaTeX. This is an expanded version of a paper that appeared
in the Proceedings of the 35th Annual Symposium on Foundations of Computer
Science, Santa Fe, NM, Nov. 20--22, 1994. Minor revisions made January, 1996 | SIAM J.Sci.Statist.Comput. 26 (1997) 1484 | 10.1137/S0097539795293172 | null | quant-ph | null | A digital computer is generally believed to be an efficient universal
computing device; that is, it is believed able to simulate any physical
computing device with an increase in computation time of at most a polynomial
factor. This may not be true when quantum mechanics is taken into
consideration. This paper considers factoring integers and finding discrete
logarithms, two problems which are generally thought to be hard on a classical
computer and have been used as the basis of several proposed cryptosystems.
Efficient randomized algorithms are given for these two problems on a
hypothetical quantum computer. These algorithms take a number of steps
polynomial in the input size, e.g., the number of digits of the integer to be
factored.
| [
{
"version": "v1",
"created": "Wed, 30 Aug 1995 14:11:00 GMT"
},
{
"version": "v2",
"created": "Thu, 25 Jan 1996 22:55:00 GMT"
}
] | 2017-02-20T00:00:00 | [
[
"Shor",
"Peter W.",
"",
"AT&T Research"
]
] |
quant-ph/9509001 | Arvind | Arvind and N. Mukunda (Dept of Physics, Indian Institute of Science,
Bangalore, Indian) | Non-classical Photon Statistics For Two-mode Optical Fields | 15 pages, RevTex, 5 figures, available by sending email to
[email protected] | J.Phys. A29 (1996) 5855-5872; Erratum-ibid. A30 (1997) 1345 | 10.1088/0305-4470/29/18/016 | null | quant-ph | null | The non-classical property of subpoissonian photon statistics is extended
from one to two-mode electromagnetic fields, incorporating the physically
motivated property of invariance under passive unitary transformations.
Applications to squeezed coherent states, squeezed thermal states, and
superposition of coherent states are given. Dependences of extent of
non-classical behaviour on the independent squeezing parameters are graphically
displayed.
| [
{
"version": "v1",
"created": "Mon, 4 Sep 1995 23:46:00 GMT"
},
{
"version": "v2",
"created": "Sun, 10 Sep 1995 18:31:00 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Arvind",
"",
"",
"Dept of Physics, Indian Institute of Science,\n Bangalore, Indian"
],
[
"Mukunda",
"N.",
"",
"Dept of Physics, Indian Institute of Science,\n Bangalore, Indian"
]
] |
quant-ph/9509002 | Arvind | Arvind, B. Dutta, N. Mukunda and R. Simon | The Real Symplectic Groups in Quantum Mechanics and Optics | Review article 43 pages, revtex, no figures, replaced because
somefonts were giving problem in autometic ps generation | Pramana 45 (1995) 471 | 10.1007/BF02848172 | null | quant-ph | null | text of abstract (We present a utilitarian review of the family of matrix
groups $Sp(2n,\Re)$, in a form suited to various applications both in optics
and quantum mechanics. We contrast these groups and their geometry with the
much more familiar Euclidean and unitary geometries. Both the properties of
finite group elements and of the Lie algebra are studied, and special attention
is paid to the so-called unitary metaplectic representation of $Sp(2n,\Re)$.
Global decomposition theorems, interesting subgroups and their generators are
described. Turning to $n$-mode quantum systems, we define and study their
variance matrices in general states, the implications of the Heisenberg
uncertainty principles, and develop a U(n)-invariant squeezing criterion. The
particular properties of Wigner distributions and Gaussian pure state
wavefunctions under $Sp(2n,\Re)$ action are delineated.)
| [
{
"version": "v1",
"created": "Tue, 5 Sep 1995 04:20:00 GMT"
},
{
"version": "v2",
"created": "Wed, 6 Sep 1995 21:45:00 GMT"
},
{
"version": "v3",
"created": "Fri, 24 Nov 1995 19:53:30 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Arvind",
"",
""
],
[
"Dutta",
"B.",
""
],
[
"Mukunda",
"N.",
""
],
[
"Simon",
"R.",
""
]
] |
quant-ph/9509003 | Asher Peres | Asher Peres | Quantum Cryptography with Orthogonal States? | 3 pages, LaTeX, 1 figure on separate page Final version in Phys Rev
Lett 77 (1996) 3264 | null | 10.1103/PhysRevLett.77.3264 | null | quant-ph | null | This is a Comment on Phys Rev Lett 75 (1995) 1239, by Goldenberg and Vaidman
| [
{
"version": "v1",
"created": "Thu, 7 Sep 1995 08:01:41 GMT"
},
{
"version": "v2",
"created": "Thu, 8 Oct 1998 11:57:01 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Peres",
"Asher",
""
]
] |
quant-ph/9509004 | Saul Youssef | Saul Youssef (SCRI, Florida State University) | Quantum Mechanics as an Exotic Probability Theory | null | null | null | null | quant-ph | null | Recent results suggest that quantum mechanical phenomena may be interpreted
as a failure of standard probability theory and may be described by a Bayesian
complex probability theory.
| [
{
"version": "v1",
"created": "Mon, 11 Sep 1995 20:08:05 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Youssef",
"Saul",
"",
"SCRI, Florida State University"
]
] |
quant-ph/9509005 | Hagen Kleinert | H. Kleinert and W. Janke | Convergence behavior of variational perturbation expansion-- A method
for locating Bender-Wu singularities | Paper texfile convn.tex + figfiles in src (to appear in Phys. Lett. A
205, 101(1995)) Readable in hypertext format under
http://www.physik.fu-berlin.de/~kleinert/kleiner_re234/preprint.html See
also: http://www.physik.fu-berlin.de/~kleinert/institution.html | Phys. Lett. A206 (1995) 283 | 10.1016/0375-9601(95)00521-4 | null | quant-ph | null | Variational perturbation expansions have recently been used to calculate
directly the strong-coupling expansion coefficients of the anharmonic
oscillator. The convergence is exponentially fast with superimposed
oscillations, as recently observed empirically by the authors. In this note,
the observed behavior is explained and used to determine accurately the
magnitude and phase of the leading Bender-Wu singularity which is responsible
for the finite convergence radius in the complex coupling constant plane.
| [
{
"version": "v1",
"created": "Tue, 12 Sep 1995 07:43:54 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Kleinert",
"H.",
""
],
[
"Janke",
"W.",
""
]
] |
quant-ph/9509006 | Richard MacKenzie | P. Girard and R. MacKenzie | Altered Stats: Two anyons via path integrals for multiply connected
spaces | 9 pages, REVTEX, to appear, Phys Lett A | null | 10.1016/0375-9601(95)00680-2 | UdeM-GPP-TH-95-27 | quant-ph hep-th | null | We apply the formalism of path integrals in multiply connected spaces to the
problem of two anyons.
| [
{
"version": "v1",
"created": "Thu, 14 Sep 1995 02:08:33 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Girard",
"P.",
""
],
[
"MacKenzie",
"R.",
""
]
] |
quant-ph/9509007 | Ignacio Cirac | J.F. Poyatos, J.I. Cirac (Dep. Fisica Aplicada, Universidad de
Castilla-La Mancha, SPAIN), R. Blatt (Institut fuer Experimental Physik,
Universitaet Innsbruck, AUSTRIA), P. Zoller (Institut fuer Theoretische
Physik, Universitaet Innsbruck, AUSTRIA) | Trapped ions in the strong excitation regime: ion interferometry and
non--classical states | 9 pages, Revtex format, 5 compressed postscript figures | null | 10.1103/PhysRevA.54.1532 | EG22-9-95 | quant-ph | null | The interaction of a trapped ion with a laser beam in the strong excitation
regime is analyzed. In this regime, a variety of non--classical states of
motion can be prepared either by using laser pulses of well defined area, or by
an adiabatic passage scheme based on the variation of the laser frequency. We
show how these states can be used to investigate fundamental properties of
quantum mechanics. We also study possible applications of this system to build
an ion interferometer.
| [
{
"version": "v1",
"created": "Mon, 11 Sep 1995 15:33:53 GMT"
},
{
"version": "v2",
"created": "Sun, 17 Sep 1995 20:40:23 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Poyatos",
"J. F.",
"",
"Dep. Fisica Aplicada, Universidad de\n Castilla-La Mancha, SPAIN"
],
[
"Cirac",
"J. I.",
"",
"Dep. Fisica Aplicada, Universidad de\n Castilla-La Mancha, SPAIN"
],
[
"Blatt",
"R.",
"",
"Institut fuer Experimental Physik,\n Universitaet Innsbruck, AUSTRIA"
],
[
"Zoller",
"P.",
"",
"Institut fuer Theoretische\n Physik, Universitaet Innsbruck, AUSTRIA"
]
] |
quant-ph/9509008 | M. Sanjay Kumar | M. Sanjay Kumar and Avinash Khare | Coherent States for Isospectral Hamiltonians | RevTeX, 9 pages, no figures | Phys.Lett. A217 (1996) 73-77 | 10.1016/0375-9601(96)00332-5 | IP/BBSR/95-82 | quant-ph | null | We show that for the strictly isospectral Hamiltonians, the corresponding
coherent states are related by a unitary transformation. As an illustration, we
discuss, the example of strictly isospectral one-dimensional harmonic
oscillator Hamiltonians and the associated coherent states.
| [
{
"version": "v1",
"created": "Thu, 14 Sep 1995 16:42:53 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Kumar",
"M. Sanjay",
""
],
[
"Khare",
"Avinash",
""
]
] |
quant-ph/9509009 | K. Berndl | Karin Berndl (Muenchen) | Global existence and uniqueness of Bohmian trajectories | 18 pages, LaTeX, contribution to "Bohmian Mechanics and Quantum
Theory: An Appraisal," edited by J.T. Cushing, A. Fine, and S. Goldstein
(Kluwer, to appear) | Kluwer Academic Publishers, Dordrecht, 1996 | null | null | quant-ph | null | It is shown that Bohmian mechanics is internally consistent in the sense that
the equations of motion typically have global solutions despite the fact that
the velocity field is singular at the nodes of the wave function and at other
points. This result is fundamental for the derivation of the quantum formalism.
The role of the quantum flux is emphasized.
| [
{
"version": "v1",
"created": "Mon, 18 Sep 1995 16:14:52 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Berndl",
"Karin",
"",
"Muenchen"
]
] |
quant-ph/9509010 | null | Robert Bluhm, Alan Kostelecky, and Bogdan Tudose | Elliptical Squeezed States and Rydberg Wave Packets | published in Phys. Rev. A, vol. 52, p. 2234, Sept. 1995 | Phys.Rev.A52:2234,1995 | 10.1103/PhysRevA.52.2234 | IUHET 295 | quant-ph | null | We present a theoretical construction for closest-to-classical wave packets
localized in both angular and radial coordinates and moving on a keplerian
orbit. The method produces a family of elliptical squeezed states for the
planar Coulomb problem that minimize appropriate uncertainty relations in
radial and angular coordinates. The time evolution of these states is studied
for orbits with different semimajor axes and eccentricities. The elliptical
squeezed states may be useful for a description of the motion of Rydberg wave
packets excited by short-pulsed lasers in the presence of external fields,
which experiments are attempting to produce. We outline an extension of the
method to include certain effects of quantum defects appearing in the
alkali-metal atoms used in experiments.
| [
{
"version": "v1",
"created": "Mon, 18 Sep 1995 14:59:57 GMT"
}
] | 2009-09-25T00:00:00 | [
[
"Bluhm",
"Robert",
""
],
[
"Kostelecky",
"Alan",
""
],
[
"Tudose",
"Bogdan",
""
]
] |
quant-ph/9509011 | M. Daumer | M. Daumer | Scattering Theory from a Bohmian Perspective | 22 pages, latex, 1 figure, contribution to "Bohmian Mechanics and
Quantum Theory: An Appraisal," edited by J.S. Cushing, A. Fine, and S.
Goldstein (Kluwer, to appear) | null | null | null | quant-ph | null | Quantum mechanical scattering theory is a subject with a long and winding
history. We shall pick out some of the most important concepts and ideas of
scattering theory and look at them from the perspective of Bohmian mechanics:
Bohmian mechanics, having real particle trajectories, provides an excellent
basis for analyzing scattering phenomena.
| [
{
"version": "v1",
"created": "Tue, 19 Sep 1995 10:52:52 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Daumer",
"M.",
""
]
] |
quant-ph/9509012 | Olavo Leopoldino Da Silva Filho | L. S. F. Olavo | Quantum Mechanics as a Classical Theory VI: The Classical Spin | 13 pages, to be submitted to the Progress of Theoretical Physics. 1
figure obtainable from the author | null | null | UnB-006 | quant-ph | null | In these continuation papers (VI and VII) we are interested in approach the
problem of spin from a classical point of view. In this first paper we will
show that the spin is neither basically relativistic nor quantum but reflects
just a simmetry property related to the Lie algebra to which it is associated.
The classical approach will be paraleled with the usual quantum one to stress
their formal similarities and epistemological differences. The important
problem of Einstein-Bose condensation for fermions will also be addressed.
| [
{
"version": "v1",
"created": "Wed, 20 Sep 1995 16:22:42 GMT"
}
] | 2009-09-25T00:00:00 | [
[
"Olavo",
"L. S. F.",
""
]
] |
quant-ph/9509013 | Olavo Leopoldino Da Silva Filho | L. S. F. Olavo and A. D. Figueiredo | Quantum Mechanics as a Classical Theory VII: The Classical Spin
Eigenfunctions | 13 pages, to be submitted to the Progress of Theoretical Physics, 3
figures obtainable directly from the authors. 1 Table | null | null | UnB-007 | quant-ph | null | In this continuation paper the Schr\"odinger equation for the half-integral
spin eigenfunctions is obtained and solved. We show that all the properties
already derived using the Heisemberg matrix calculation and Pauli's matrices
are also obtained in the realm of these analytical functions. We also show that
Einstein-Bose condensation for fermions is expected. We then conclude this
series of two papers on the concept of classical spin.
| [
{
"version": "v1",
"created": "Wed, 20 Sep 1995 16:23:06 GMT"
}
] | 2009-09-25T00:00:00 | [
[
"Olavo",
"L. S. F.",
""
],
[
"Figueiredo",
"A. D.",
""
]
] |
quant-ph/9509014 | Folkert Mueller-Hoissen | A. Dimakis (Iraklion), F. Mueller-Hoissen (Goettingen), T. Striker
(Goettingen) | Umbral Calculus, Discretization, and Quantum Mechanics on a Lattice | 19 pages, Latex | J.Phys.A29:6861-6876,1996 | 10.1088/0305-4470/29/21/017 | GOET-TP 96/95 | quant-ph hep-lat hep-th | null | `Umbral calculus' deals with representations of the canonical commutation
relations. We present a short exposition of it and discuss how this calculus
can be used to discretize continuum models and to construct representations of
Lie algebras on a lattice. Related ideas appeared in recent publications and we
show that the examples treated there are special cases of umbral calculus. This
observation then suggests various generalizations of these examples. A special
umbral representation of the canonical commutation relations given in terms of
the position and momentum operator on a lattice is investigated in detail.
| [
{
"version": "v1",
"created": "Thu, 21 Sep 1995 11:51:48 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Dimakis",
"A.",
"",
"Iraklion"
],
[
"Mueller-Hoissen",
"F.",
"",
"Goettingen"
],
[
"Striker",
"T.",
"",
"Goettingen"
]
] |
quant-ph/9509015 | Todd A. Brun | Todd A. Brun, Ian C. Percival, and R\"udiger Schack (Physics, QMW,
University of London) | Quantum chaos in open systems: a quantum state diffusion analysis | 18 pages standard LaTeX + 9 figures; extensively trimmed; to appear
in J. Phys. A | J.Phys.A29:2077-2090,1996 | 10.1088/0305-4470/29/9/020 | QMW-PH-95-33 | quant-ph chao-dyn nlin.CD | null | Except for the universe, all quantum systems are open, and according to
quantum state diffusion theory, many systems localize to wave packets in the
neighborhood of phase space points. This is due to decoherence from the
interaction with the environment, and makes the quasiclassical limit of such
systems both more realistic and simpler in many respects than the more familiar
quasiclassical limit for closed systems. A linearized version of this theory
leads to the correct classical dynamics in the macroscopic limit, even for
nonlinear and chaotic systems. We apply the theory to the forced, damped
Duffing oscillator, comparing the numerical results of the full and linearized
equations, and argue that this can be used to make explicit calculations in the
decoherent histories formalism of quantum mechanics.
| [
{
"version": "v1",
"created": "Tue, 26 Sep 1995 18:09:00 GMT"
},
{
"version": "v2",
"created": "Tue, 23 Apr 1996 18:32:16 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Brun",
"Todd A.",
"",
"Physics, QMW,\n University of London"
],
[
"Percival",
"Ian C.",
"",
"Physics, QMW,\n University of London"
],
[
"Schack",
"Rüdiger",
"",
"Physics, QMW,\n University of London"
]
] |
quant-ph/9509016 | Hiromichi Nakazato | Hiromichi Nakazato, Mikio Namiki and Saverio Pascazio | Temporal behavior of quantum mechanical systems | 48 pages, LaTeX, uuencoded file with 7 figures included | null | 10.1142/S0217979296000118 | WU-HEP-95-3 | quant-ph hep-th | null | The temporal behavior of quantum mechanical systems is reviewed. We study the
so-called quantum Zeno effect, that arises from the quadratic short-time
behavior, and the analytic properties of the ``survival" amplitude. It is shown
that the exponential behavior is due to the presence of a simple pole in the
second Riemannian sheet, while the contribution of the branch point yields a
power behavior for the amplitude. The exponential decay form is cancelled at
short times and dominated at very long times by the branch-point contributions,
which give a Gaussian behavior for the former and a power behavior for the
latter. In order to realize the exponential law in quantum theory, it is
essential to take into account a certain kind of macroscopic nature of the
total system. Some attempts at extracting the exponential decay law from
quantum theory, aiming at the master equation, are briefly reviewed, including
van Hove's pioneering work and his well-known ``$\lambda^2T$" limit. We clarify
these general arguments by introducing and studying a solvable dynamical model.
Some implications for the quantum measurement problem are also discussed, in
particular in connection with dissipation.
| [
{
"version": "v1",
"created": "Wed, 27 Sep 1995 04:25:07 GMT"
}
] | 2015-06-26T00:00:00 | [
[
"Nakazato",
"Hiromichi",
""
],
[
"Namiki",
"Mikio",
""
],
[
"Pascazio",
"Saverio",
""
]
] |
quant-ph/9509017 | Haret Rosu | H.C. Rosu | Penning trap and vacuum noise | 7 LaTex pages, published text and references with titles | NuovoCim.B111:507-512,1996 | 10.1007/BF02724559 | IFUG-95-R-4 | quant-ph | null | A number of comments are provided on Rogers's model experiment to measure the
circular Unruh vacuum noise by means of a hyperbolic Penning trap inside a
microwave cavity. It is suggested that cylindrical Penning traps, being
geometrically simpler, and controlled almost at the same level of accuracy as
the hyperbolic trap, might be a better choice for such an experiment. Besides,
the microwave modes of the trap itself, of known analytical structure, can be
directly used in trying to obtain measurable results for such a tiny noise
effect.
| [
{
"version": "v1",
"created": "Thu, 28 Sep 1995 23:33:00 GMT"
},
{
"version": "v2",
"created": "Fri, 29 Sep 1995 16:51:00 GMT"
},
{
"version": "v3",
"created": "Fri, 5 Jul 1996 03:49:00 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Rosu",
"H. C.",
""
]
] |
quant-ph/9509018 | null | V. I. Man'ko | Introduction to Quantum Optics | Latex,35 pages,Lectures in Latin America Scool of Physics 1995 | null | 10.1063/1.50228 | null | quant-ph | null | The theory of quantum propagator and time--dependent integrals of motion in
quantum optics is reviewed as well as the properties of Wigner function,
Q--function, and coherent state representation. Propagators and wave functions
of a free particle, harmonic oscillator, and the oscillator with varying
frequency are studied using time--dependent linear in position and momentum
integrals of motion. Such nonclassical states of light (of quantum systems) as
squeezed states, correlated states, even and odd coherent states (Schr\"odinger
cat states) are considered. Photon distribution functions of Schr\"odinger cat
male and female states are given, and the photon distribution function of
squeezed vacuum is derived using the theory of the oscillator with varying
parameters. Properties of multivariable Hermite polynomials used for the
description of the multimode squeezed and correlated light and polymode
Schr\"odinger cats are studied.
| [
{
"version": "v1",
"created": "Fri, 29 Sep 1995 09:08:37 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Man'ko",
"V. I.",
""
]
] |
quant-ph/9509019 | Murray Peshkin | Murray Peshkin (Argonne National Laboratory) | Off-Diagonal Long-Range Order, Restricted Gauge Transformations, and
Aharonov-Bohm Effect in Conductors | Editing errors are corrected. One was slightly misleading | Phys.Rev.Lett. 76 (1996) 2207-2210; Erratum-ibid. 77 (1996) 2346 | 10.1103/PhysRevLett.76.2207 | null | quant-ph hep-th | null | The Hamiltonian describing a conductor surrounding an external magnetic field
contains a nonvanishing vector potential in the volume accessible to the
electrons and nuclei of which the conductor is made. That vector potential
cannot be removed by a gauge transformation. Nevertheless, a macroscopic normal
conductor can experience no Aharonov-Bohm effect. That is proved by assuming
only that a normal conductor lacks off-diagonal long-range order (ODLRO). Then
by restricting the Hilbert space to density matrices which lack ODLRO, it is
possible to introduce a restricted gauge transformation that removes the
interaction of the conductor with the vector potential.
| [
{
"version": "v1",
"created": "Fri, 29 Sep 1995 19:28:14 GMT"
},
{
"version": "v2",
"created": "Fri, 20 Oct 1995 22:31:15 GMT"
}
] | 2009-10-28T00:00:00 | [
[
"Peshkin",
"Murray",
"",
"Argonne National Laboratory"
]
] |
quant-ph/9509020 | null | Lajos Diosi | Comment on 'Reduced System Dynamics from the N-Body Schrodinger
Equation' | 3pp LateX | Phys.Rev.Lett. 76 (1996) 3232 | 10.1103/PhysRevLett.76.3232 | null | quant-ph | null | We argue that the "reduced wave function", proposed recently [Phys.Rev.Lett.
{\bf 75}, 2255 (1995)], contains conditional and restricted information on the
reduced system. The concept of "reduced wave function" can thus not represent a
relevant alternative to the common reduced dynamics methods.
| [
{
"version": "v1",
"created": "Sat, 30 Sep 1995 20:32:00 GMT"
}
] | 2016-09-08T00:00:00 | [
[
"Diosi",
"Lajos",
""
]
] |
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