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quant-ph/9708051 | Vipin Bhatnagar | Ramandeep S. Johal | Is the Deformation Parameter in q-Rotor Model Really Phenomenological ? | Latex, 7 pages, one table | null | null | null | quant-ph math.QA q-alg | null | We cast the $q$-rotor in the framework of Barnett-Pegg theory for rotation
angle, whose underlying algebra is $SU_q(2)$. A new method to fix the
deformation parameter from the theory is suggested. We test our ideas by
fitting rotational spectra in deformed even-even and superdeformed nuclei. The
results are in good agreement with the previous phenomenological applications
of $q$-rotor model.
| [
{
"version": "v1",
"created": "Thu, 28 Aug 1997 04:50:29 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Johal",
"Ramandeep S.",
""
]
] |
quant-ph/9708052 | M. Czachor | Marek Czachor | Nonlocal looking equations can make nonlinear quantum dynamics local | revtex, final version, accepted in Phys.Rev.A (June 1998) | Phys.Rev. A57 (1998) 4122 | 10.1103/PhysRevA.57.4122 | null | quant-ph | null | A general method for extending a non-dissipative nonlinear Schr\"odinger and
Liouville-von Neumann 1-particle dynamics to an arbitrary number of particles
is described. It is shown at a general level that the dynamics so obtained is
completely separable, which is the strongest condition one can impose on
dynamics of composite systems. It requires that for all initial states
(entangled or not) a subsystem not only cannot be influenced by any action
undertaken by an observer in a separated system (strong separability), but
additionally that the self-consistency condition $Tr_2\circ
\phi^t_{1+2}=\phi^t_{1}\circ Tr_2$ is fulfilled. It is shown that a correct
extension to $N$ particles involves integro-differential equations which, in
spite of their nonlocal appearance, make the theory fully local. As a
consequence a much larger class of nonlinearities satisfying the complete
separability condition is allowed than has been assumed so far. In particular
all nonlinearities of the form $F(|\psi(x)|)$ are acceptable. This shows that
the locality condition does not single out logarithmic or 1-homeogeneous
nonlinearities.
| [
{
"version": "v1",
"created": "Thu, 28 Aug 1997 14:05:26 GMT"
},
{
"version": "v2",
"created": "Wed, 3 Sep 1997 10:37:36 GMT"
},
{
"version": "v3",
"created": "Thu, 4 Dec 1997 18:12:10 GMT"
},
{
"version": "v4",
"created": "Wed, 11 Mar 1998 22:32:17 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Czachor",
"Marek",
""
]
] |
quant-ph/9708053 | Michael Mensky | J.Audretsch, M.Mensky and V.Namiot (Physics dpt., Konstanz University,
Konstanz, Germany) | How to visualize a quantum transition of a single atom | LATEX, 15 pages, 2 figures (EPS), to be published in Phys. Let. A | Phys.Lett. A237 (1997) 1 | 10.1016/S0375-9601(97)00737-8 | null | quant-ph | null | The previously proposed visualization of Rabi oscillations of a single atom
by a continuous fuzzy measurement of energy is specified for the case of a
single transition between levels caused by a $\pi$-pulse of a driving field. An
analysis in the framework of the restricted-path-integral approach (which
reduces effectively to a Schr\"odinger equation with a complex Hamiltonian)
shows that the measurement gives a reliable information about the system
evolution, but the probability of the transition becomes less than unity. In
addition an experimental setup is proposed for continuous monitoring the state
of an atom by observation of electrons scattered by it. It is shown how this
setup realizes a continuous fuzzy measurement of the atom energy.
| [
{
"version": "v1",
"created": "Thu, 28 Aug 1997 20:13:04 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Audretsch",
"J.",
"",
"Physics dpt., Konstanz University,\n Konstanz, Germany"
],
[
"Mensky",
"M.",
"",
"Physics dpt., Konstanz University,\n Konstanz, Germany"
],
[
"Namiot",
"V.",
"",
"Physics dpt., Konstanz University,\n Konstanz, Germany"
]
] |
quant-ph/9708054 | Paul Benioff | Paul Benioff (Argonne National Laboratory) | Models of Quantum Turing machines | 21 pagaes Latex plus 5 postscript figures, submitted to Fortschritte
der Physik | Fortsch.Phys. 46 (1998) 423-442 | 10.1002/(SICI)1521-3978(199806)46:4/5<423::AID-PROP423>3.0.CO;2-G | null | quant-ph | null | Quantum Turing machines are discussed and reviewed in this paper. Most of the
paper is concerned with processes defined by a step operator $T$ that is used
to construct a Hamiltonian $H$ according to Feynman's prescription. Differences
between these models and the models of Deutsch are discussed and reviewed. It
is emphasized that the models with $H$ constructed from $T$ include fully
quantum mechanical processes that take computation basis states into linear
superpositions of these states. The requirement that $T$ be distinct path
generating is reviewed. The advantage of this requirement is that
Schr\"{o}dinger evolution under $H$ is one dimensional along distinct finite or
infinite paths of nonoverlapping states in some basis $B_{T}$. It is emphasized
that $B_{T}$ can be arbitrarily complex with extreme entanglements between
states of component systems. The new aspect of quantum Turing machines
introduced here is the emphasis on the structure of graphs obtained when the
states in the $B_{T}$ paths are expanded as linear superpositions of states in
a reference basis such as the computation basis $B_{C}$. Examples are discussed
that illustrate the main points of the paper. For one example the graph
structures of the paths in $B_{T}$ expanded as states in $B_{C}$ include finite
stage binary trees and concatenated finite stage binary trees with or without
terminal infinite binary trees. Other examples are discussed in which the graph
structures correspond to interferometers and iterations of interferometers.
| [
{
"version": "v1",
"created": "Thu, 28 Aug 1997 20:35:51 GMT"
}
] | 2015-06-26T00:00:00 | [
[
"Benioff",
"Paul",
"",
"Argonne National Laboratory"
]
] |
quant-ph/9708055 | Stephen Choi | S. Choi and K. Burnett | Atom optical elements for Bose condensates | 7 pages, 10 figures | null | 10.1103/PhysRevA.56.3825 | null | quant-ph | null | A simple model for atom optical elements for Bose condensate of trapped,
dilute alkali atomns is proposed and numerical simulations are presented to
illustrate its characteristics. We demonstrate ways of focusing and splitting
the condensate by modifying experimentally adjustable parameters. We show that
there are at least two ways of implementing atom optical elements: one may
modulate the interatomic scattering length in space, or alternatively, use a
sinusoidal, externally applied potential.
| [
{
"version": "v1",
"created": "Fri, 29 Aug 1997 14:22:48 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Choi",
"S.",
""
],
[
"Burnett",
"K.",
""
]
] |
quant-ph/9708056 | Dirk Sondermann | G.C. Hegerfeldt, T.I. Sachse, D.G. Sondermann | Unusual light spectra from a two-level atom in squeezed vacuum | 16 pages, LaTeX, 3 figures (included via epsf) | Quant.Semiclass.Opt. 9 (1997) 1 | 10.1088/1355-5111/9/6/009 | null | quant-ph | null | We investigate the interaction of an atom with a multi-channel squeezed
vacuum. It turns out that the light coming out in a particular channel can have
anomalous spectral properties, among them asymmetry of the spectrum, absence of
the central peak as well as central hole burning for particular parameters. As
an example plane-wave squeezing is considered. In this case the above phenomena
can occur for the light spectra in certain directions. In the total spectrum
these phenomena are washed out.
| [
{
"version": "v1",
"created": "Fri, 29 Aug 1997 17:45:11 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Hegerfeldt",
"G. C.",
""
],
[
"Sachse",
"T. I.",
""
],
[
"Sondermann",
"D. G.",
""
]
] |
quant-ph/9709001 | Timothy F. Havel | David G. Cory, Mark D. Price and Timothy F. Havel | Nuclear magnetic resonance spectroscopy: An experimentally accessible
paradigm for quantum computing | LaTeX + epsfig + amsmath packages, 27 pages, 12 figures, to appear in
Physica D; revision updates list of authors and references | null | 10.1016/S0167-2789(98)00046-3 | null | quant-ph | null | We present experimental results which demonstrate that nuclear magnetic
resonance spectroscopy is capable of efficiently emulating many of the
capabilities of quantum computers, including unitary evolution and coherent
superpositions, but without attendant wave-function collapse. Specifically, we
have: (1) Implemented the quantum XOR gate in two different ways, one using
Pound-Overhauser double resonance, and the other using a spin-coherence double
resonance pulse sequence; (2) Demonstrated that the square root of the
Pound-Overhauser XOR corresponds to a conditional rotation, thus obtaining a
universal set of gates; (3) Devised a spin-coherence implementation of the
Toffoli gate, and confirmed that it transforms the equilibrium state of a
four-spin system as expected; (4) Used standard gradient-pulse techniques in
NMR to equalize all but one of the populations in a two-spin system, so
obtaining the pseudo-pure state that corresponds to |00>; (5) Validated that
one can identify which basic pseudo-pure state is present by transforming it
into one-spin superpositions, whose associated spectra jointly characterize the
state; (6) Applied the spin-coherence XOR gate to a one-spin superposition to
create an entangled state, and confirmed its existence by detecting the
associated double-quantum coherence via gradient-echo methods.
| [
{
"version": "v1",
"created": "Sat, 30 Aug 1997 15:42:10 GMT"
},
{
"version": "v2",
"created": "Wed, 8 Oct 1997 00:43:13 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Cory",
"David G.",
""
],
[
"Price",
"Mark D.",
""
],
[
"Havel",
"Timothy F.",
""
]
] |
quant-ph/9709002 | Carlo Presilla | Carlo Presilla, Roberto Onofrio, and Marco Patriarca | Classical and quantum measurements of position | 30 pages, REVTeX 3.0, to be published in J. Phys. A | J.Phys.A30:7385-7411,1997 | 10.1088/0305-4470/30/21/014 | null | quant-ph cond-mat.stat-mech | null | We study the dynamics of classical and quantum systems undergoing a
continuous measurement of position by schematizing the measurement apparatus
with an infinite set of harmonic oscillators at finite temperature linearly
coupled to the measured system. Selective and nonselective measurement
processes are then introduced according to a selection of or an average over
all possible initial configurations of the measurement apparatus. At quantum
level, the selective processes are described by a nonlinear stochastic
Schr\"odinger equation whose solutions evolve into properly defined coherent
states in the case of linear systems. For arbitrary measured systems, classical
behavior is always recovered in the macroscopic limit.
| [
{
"version": "v1",
"created": "Mon, 1 Sep 1997 14:10:18 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Presilla",
"Carlo",
""
],
[
"Onofrio",
"Roberto",
""
],
[
"Patriarca",
"Marco",
""
]
] |
quant-ph/9709003 | Carlo Presilla | Roberto Onofrio, Carlo Presilla, and Ubaldo Tambini | Quantum Zeno Effect with the Feynman-Mensky Path-Integral Approach | 8 pages, REVTeX 3.0 | Phys.Lett. A183 (1993) 135-140 | 10.1016/0375-9601(93)91159-3 | null | quant-ph cond-mat | null | A model for quantum Zeno effect based upon an effective Schr\"odinger
equation originated by the path-integral approach is developed and applied to a
two-level system simultaneously stimulated by a resonant perturbation. It is
shown that inhibition of stimulated transitions between the two levels appears
as a consequence of the influence of the meter whenever measurements of energy,
either continuous or pulsed, are performed at quantum level of sensitivity. The
generality of this approach allows to qualitatively understand the inhibition
of spontaneous transitions as the decay of unstable particles, originally
presented as a paradox of quantum measurement theory.
| [
{
"version": "v1",
"created": "Mon, 1 Sep 1997 17:03:41 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Onofrio",
"Roberto",
""
],
[
"Presilla",
"Carlo",
""
],
[
"Tambini",
"Ubaldo",
""
]
] |
quant-ph/9709004 | Carlo Presilla | Tommaso Calarco, Roberto Onofrio, Carlo Presilla, and Lorenza Viola | Quantum Phenomenology with the Path Integral Approach | 7 pages, LaTeX | Quantum Communications and Measurements, Edited by V.P. Belavkin,
O. Hirota, and R.L. Hudson, Plenum Press, New York, 1995, p. 171-176 | null | null | quant-ph cond-mat.stat-mech | null | A quantum measurement model based upon restricted path-integrals allows us to
study measurements of generalized position in various one-dimensional systems
of phenomenological interest. After a general overview of the method we discuss
the cases of a harmonic oscillator, a bistable potential and two coupled
systems, briefly illustrating their applications.
| [
{
"version": "v1",
"created": "Mon, 1 Sep 1997 17:23:05 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Calarco",
"Tommaso",
""
],
[
"Onofrio",
"Roberto",
""
],
[
"Presilla",
"Carlo",
""
],
[
"Viola",
"Lorenza",
""
]
] |
quant-ph/9709005 | Carlo Presilla | Michael B. Mensky, Roberto Onofrio, Carlo Presilla | Optimal Monitoring of Position in Nonlinear Quantum Systems | 4 pages, REVTeX 3.0, 4 PostScript figures | Phys.Rev.Lett. 70 (1993) 2825-2828 | 10.1103/PhysRevLett.70.2825 | null | quant-ph cond-mat | null | We discuss a model of repeated measurements of position in a quantum system
which is monitored for a finite amount of time with a finite instrumental
error. In this framework we recover the optimum monitoring of a harmonic
oscillator proposed in the case of an instantaneous collapse of the
wavefunction into an infinite-accuracy measurement result. We also establish
numerically the existence of an optimal measurement strategy in the case of a
nonlinear system. This optimal strategy is completely defined by the spectral
properties of the nonlinear system.
| [
{
"version": "v1",
"created": "Tue, 2 Sep 1997 12:02:09 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Mensky",
"Michael B.",
""
],
[
"Onofrio",
"Roberto",
""
],
[
"Presilla",
"Carlo",
""
]
] |
quant-ph/9709006 | Carlo Presilla | Michael B. Mensky, Roberto Onofrio, Carlo Presilla | Continuous Quantum Monitoring of Position of Nonlinear Oscillators | 10 pages, REVTeX 3.0, 4 PostScript figures | Phys.Lett. A161 (1991) 236-240 | 10.1016/0375-9601(91)90010-6 | null | quant-ph cond-mat | null | Application of the path-integral approach to continuous measurements leads to
effective Lagrangians or Hamiltonians in which the effect of the measurement is
taken into account through an imaginary term. We apply these considerations to
nonlinear oscillators with use of numerical computations to evaluate quantum
limitations for monitoring position in such a class of systems.
| [
{
"version": "v1",
"created": "Tue, 2 Sep 1997 13:19:05 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Mensky",
"Michael B.",
""
],
[
"Onofrio",
"Roberto",
""
],
[
"Presilla",
"Carlo",
""
]
] |
quant-ph/9709007 | Lars M. Johansen | Lars M. Johansen | EPR correlations and EPW distributions revisited | 7 pages, 1 figure, accepted to Phys. Lett. A | Phys.Lett. A236 (1997) 173-176 | 10.1016/S0375-9601(97)00784-6 | null | quant-ph | null | It is shown that Bell's proof of violation of local realism in phase space is
incorrect. Using Bell's approach, a violation can be derived also for
nonnegative Wigner distributions. The error is found to lie in the use of an
unnormalizable Wigner function.
| [
{
"version": "v1",
"created": "Tue, 2 Sep 1997 18:49:12 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Johansen",
"Lars M.",
""
]
] |
quant-ph/9709008 | Ralf Schuetzhold | R. Sch\"utzhold, G. Plunien, G. Soff | Trembling cavities in the canonical approach | null | Phys.Rev. A57 (1998) 2311 | 10.1103/PhysRevA.57.2311 | null | quant-ph | null | We present a canonical formalism facilitating investigations of the dynamical
Casimir effect by means of a response theory approach. We consider a massless
scalar field confined inside of an arbitaray domain $G(t)$, which undergoes
small displacements for a certain period of time. Under rather general
conditions a formula for the number of created particles per mode is derived.
The pertubative approach reveals the occurance of two generic processes
contributing to the particle production: the squeezing of the vacuum by
changing the shape and an acceleration effect due to motion af the boundaries.
The method is applied to the configuration of moving mirror(s). Some properties
as well as the relation to local Green function methods are discussed.
PACS-numbers: 12.20; 42.50; 03.70.+k; 42.65.Vh Keywords: Dynamical Casimir
effect; Moving mirrors; Cavity quantum field theory; Vibrating boundary;
| [
{
"version": "v1",
"created": "Wed, 3 Sep 1997 13:04:55 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Schützhold",
"R.",
""
],
[
"Plunien",
"G.",
""
],
[
"Soff",
"G.",
""
]
] |
quant-ph/9709009 | A. G. Karavayev | A.G. Karavayev | Trajectory-coherent states for the Caldirola - Kanai Hamiltonian | 9 pages RevTex,no figures | null | null | null | quant-ph | null | In this paper we construct the trajectory-coherent states for the Caldirola -
Kanai Hamiltonian. We investigate the properties of this states.
| [
{
"version": "v1",
"created": "Thu, 4 Sep 1997 10:50:04 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Karavayev",
"A. G.",
""
]
] |
quant-ph/9709010 | Michal Horodecki | Ryszard Horodecki, Michal Horodecki and Pawel Horodecki | Jaynes principle versus entanglement | RevTeX, 6 pages, the paper was rewritten to present the problem
possibly clearly | null | null | null | quant-ph | null | We show, by explicit examples, that the Jaynes inference scheme based on
maximization of entropy can produce inseparable states even if there exists a
separable state compatible with the measured data. It can lead to problems with
processing of entanglement. The difficulty vanishes when one uses inference
scheme based on minimization of entanglement.
| [
{
"version": "v1",
"created": "Thu, 4 Sep 1997 12:49:04 GMT"
},
{
"version": "v2",
"created": "Thu, 29 Jan 1998 18:23:39 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Horodecki",
"Ryszard",
""
],
[
"Horodecki",
"Michal",
""
],
[
"Horodecki",
"Pawel",
""
]
] |
quant-ph/9709011 | Michael Schwacke | J\"org Main, Michael Schwacke, and G\"unter Wunner | The Hydrogen Atom in Combined Electric and Magnetic Fields with
Arbitrary Mutual Orientations | two-column version, 10 pages, REVTeX, 10 figures, uuencoded,
submitted to Rhys. Rev. A | Phys.Rev. A57 (1998) 1149 | 10.1103/PhysRevA.57.1149 | null | quant-ph chao-dyn nlin.CD | null | For the hydrogen atom in combined magnetic and electric fields we investigate
the dependence of the quantum spectra, classical dynamics, and statistical
distributions of energy levels on the mutual orientation of the two external
fields. Resonance energies and oscillator strengths are obtained by exact
diagonalization of the Hamiltonian in a complete basis set, even far above the
ionization threshold. At high excitation energies around the Stark saddle point
the eigenenergies exhibit strong level repulsions when the angle between the
fields is varied. The large avoided crossings occur between states with the
same approximately conserved principal quantum number, n, and this
intramanifold mixing of states cannot be explained, not even qualitatively, by
conventional perturbation theory. However, it is well reproduced by an extended
perturbation theory which takes into account all couplings between the angular
momentum and Runge-Lenz vector. The large avoided crossings are interpreted as
a quantum manifestation of classical intramanifold chaos. This interpretation
is supported by both classical Poincar\'e surfaces of section, which reveal a
mixed regular-chaotic intramanifold dynamics, and the statistical analysis of
nearest-neighbor-spacing
| [
{
"version": "v1",
"created": "Thu, 4 Sep 1997 14:46:15 GMT"
},
{
"version": "v2",
"created": "Mon, 8 Sep 1997 15:12:15 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Main",
"Jörg",
""
],
[
"Schwacke",
"Michael",
""
],
[
"Wunner",
"Günter",
""
]
] |
quant-ph/9709012 | null | Stefano Mancini, Paolo Tombesi (Dipartimento di Matematica e Fisica,
Universit\`a di Camerino, Camerino, Italy), and Vladimir I. Man'ko (Lebedev
Physical Institute, Moscow, Russia) | Different realizations of tomographic principle in quantum state
measurement | 17 pages, Latex file, no figures, accepted by J. of Mod. Opt | J.Mod.Opt. 44 (1997) 2281 | 10.1080/09500349708231884 | null | quant-ph | null | We establish a general principle for the tomographic approach to quantum
state reconstruction, till now based on a simple rotation transformation in the
phase space, which allows us to consider other types of transformations. Then,
we will present different realizations of the principle in specific examples.
| [
{
"version": "v1",
"created": "Fri, 5 Sep 1997 13:14:51 GMT"
}
] | 2015-06-26T00:00:00 | [
[
"Mancini",
"Stefano",
"",
"Dipartimento di Matematica e Fisica,\n Università di Camerino, Camerino, Italy"
],
[
"Tombesi",
"Paolo",
"",
"Dipartimento di Matematica e Fisica,\n Università di Camerino, Camerino, Italy"
],
[
"Man'ko",
"Vladimir I.",
"",
"Lebedev\n Physical Institute, Moscow, Russia"
]
] |
quant-ph/9709013 | null | Stefano Mancini, Paolo Tombesi (Dipartimento di Matematica e Fisica,
Universit\`a di Camerino, Camerino, Italy), and Vladimir I. Man'ko (Lebedev
Physical Institute, Moscow, Russia) | Interference effects in f-deformed fields | 6 pages, Latex file, no figures, accepted by Physica Scripta | Phys.Scripta 57 (1998) 486-487 | 10.1088/0031-8949/57/4/002 | null | quant-ph | null | We show how the introduction of an algeabric field deformation affects the
interference phenomena. We also give a physical interpretation of the developed
theory.
| [
{
"version": "v1",
"created": "Fri, 5 Sep 1997 13:22:47 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Mancini",
"Stefano",
"",
"Dipartimento di Matematica e Fisica,\n Università di Camerino, Camerino, Italy"
],
[
"Tombesi",
"Paolo",
"",
"Dipartimento di Matematica e Fisica,\n Università di Camerino, Camerino, Italy"
],
[
"Man'ko",
"Vladimir I.",
"",
"Lebedev\n Physical Institute, Moscow, Russia"
]
] |
quant-ph/9709014 | Howard Wiseman | H. M. Wiseman (University of Queensland, Australia), J. A. Vaccaro
(Open University, United Kingdom) | Maximally Robust Unravelings of Quantum Master Equations | 4 pages, LaTeX, 2 figures, Submitted to Phys. Rev. Lett | Phys.Lett. A250 (1998) 241-248 | 10.1016/S0375-9601(98)00774-9 | null | quant-ph | null | The stationary solution \rho of a quantum master equation can be represented
as an ensemble of pure states in a continuous infinity of ways. An ensemble
which is physically realizable through monitoring the system's environment we
call an `unraveling'. The survival probability S(t) of an unraveling is the
average probability for each of its elements to be unchanged a time t after
cessation of monitoring. The maximally robust unraveling is the one for which
S(t) remains greater than the largest eigenvalue of \rho for the longest time.
The optical parametric oscillator is a soluble example.
| [
{
"version": "v1",
"created": "Sun, 7 Sep 1997 22:59:47 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Wiseman",
"H. M.",
"",
"University of Queensland, Australia"
],
[
"Vaccaro",
"J. A.",
"",
"Open University, United Kingdom"
]
] |
quant-ph/9709015 | Volodymyr Tkachuk | V. M. Tkachuk (Ivan Franko Lviv State University, Ukraine) | Supersymmetry of a Nonstationary Pauli Equation | 12 pages, Latex | J.Phys.A31:1859-1866,1998 | 10.1088/0305-4470/31/7/017 | null | quant-ph | null | The supersymmetry of the electron in both the nonstationary magnetic and
electric fields in a two-dimensional case is studied. The supercharges which
are the integrals of motion and their algebra are established. Using the
obtained algebra the solutions of nonstationary Pauli equation are generated.
| [
{
"version": "v1",
"created": "Mon, 8 Sep 1997 08:30:02 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Tkachuk",
"V. M.",
"",
"Ivan Franko Lviv State University, Ukraine"
]
] |
quant-ph/9709016 | Kalle-Antti Suominen | S. Stenholm and K.-A. Suominen (Helsinki Institute of Physics,
Finland) | The wave packet - a universal quantum object | 8 pages, Latex+adacta.sty, 6 Postscript figures embedded using psfig | Acta Phys.Slov. 47 (1997) 251-258 | null | HIP-1997-20/Th | quant-ph | null | We summarize the theoretical description of wave packets on molecular energy
levels. We review the various quantum mechanical effects which can be studied
and the models that can be verified on this system. This justifies our claim
that the wave packet constitutes a universal quantum object.
| [
{
"version": "v1",
"created": "Mon, 8 Sep 1997 10:58:14 GMT"
}
] | 2016-09-08T00:00:00 | [
[
"Stenholm",
"S.",
"",
"Helsinki Institute of Physics,\n Finland"
],
[
"Suominen",
"K. -A.",
"",
"Helsinki Institute of Physics,\n Finland"
]
] |
quant-ph/9709017 | Holger Hofmann | Holger F. Hofmann | Decoherence in localized photon emission | 3 pages RevTex and 1 figure | Quantum Coherence and Decoherence, edited by K. Fujikawa and Y.A.
Ono, Elsevier 1996 | null | null | quant-ph physics.atom-ph physics.optics | null | The spatiotemporal dynamics of photon emission into a non-local farfield
channel and two local nearfield channels from a pair of coupled two level
systems is analysed using a model for emission based on Wigner-Weisskopf
theory. The local quantum beats can be observed in the two nearfield channels.
However, the presence of the farfield causes decoherence in the quantum beats
even if only photon emissions into the near field channels are considered.
| [
{
"version": "v1",
"created": "Mon, 8 Sep 1997 17:18:54 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Hofmann",
"Holger F.",
""
]
] |
quant-ph/9709018 | null | Pedro F. Gonzalez-Diaz (IMAFF, CSIC, Madrid) | Quantum gravity and the problem of measurement | 9 pages, LaTex, to appear in Int. J. Theor. Phys | Int.J.Theor.Phys.37:249-256,1998 | 10.1023/A:1026610616692 | IMAFF-RCA-97-07 | quant-ph | null | We discuss some arguments in favour of the proposal that the quantum
correlations contained in the pure state-vector evolving according to
Schoedinger equation can be eliminated by the action of multiply connected
wormholes during measurement. We devise a procedure to obtain a proper master
equation which governes the changes of the reduced density matrix of matter
fields interacting with doubly connected wormholes. It is shown that this
master equation predicts an appropriate damping of the off-diagonal
correlations contained in the state vector.
| [
{
"version": "v1",
"created": "Tue, 9 Sep 1997 14:00:16 GMT"
}
] | 2011-04-15T00:00:00 | [
[
"Gonzalez-Diaz",
"Pedro F.",
"",
"IMAFF, CSIC, Madrid"
]
] |
quant-ph/9709019 | Haret Rosu | L.J. Boya, H.C. Rosu, A.J. Segui-Santonja, J. Socorro, F.J. Vila | Supersymmetric one-parameter strict isospectrality for the attractive
delta potentials | 7 pages in LaTex, 4 eps figures, published version v4 | J. Phys. A 31 (6 Nov. 1998) 8835-8839 | 10.1088/0305-4470/31/44/011 | null | quant-ph cond-mat math-ph math.MP | null | The Schr\"odinger equation with attractive delta potential has been
previously studied in the supersymmetric quantum mechanical approach by a
number of authors, but they all used only the particular superpotential
solution. Here, we introduce a one-parameter family of strictly isospectral
attractive delta function potentials, which is based on the general
superpotential (general Riccati) solution, we study the problem in some detail
and suggest possible applications
| [
{
"version": "v1",
"created": "Tue, 9 Sep 1997 18:46:03 GMT"
},
{
"version": "v2",
"created": "Fri, 28 Nov 1997 00:05:03 GMT"
},
{
"version": "v3",
"created": "Tue, 23 Dec 1997 23:47:45 GMT"
},
{
"version": "v4",
"created": "Thu, 24 Dec 1998 02:05:29 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Boya",
"L. J.",
""
],
[
"Rosu",
"H. C.",
""
],
[
"Segui-Santonja",
"A. J.",
""
],
[
"Socorro",
"J.",
""
],
[
"Vila",
"F. J.",
""
]
] |
quant-ph/9709020 | Vladimir Privman | D. Mozyrsky, V. Privman | Adiabatic Decoherence | 29 pages in TeX | J.Statist.Phys.91:787-799,1998 | 10.1023/A:1023042014131 | null | quant-ph cond-mat | null | We study a general quantum system interacting with environment modeled by the
bosonic heat bath of Caldeira and Leggett type. General interaction
Hamiltonians are considered that commute with the system's Hamiltonian so that
there is no energy exchange between the system and bath. We argue that this
model provides an appropriate description of adiabatic quantum decoherence,
i.e., loss of entanglement on time scales short compared to those of thermal
relaxation processes associated with energy exchange with the bath. The
interaction Hamiltonian is then proportional to a conserved "pointer
observable." Calculation of the elements of the reduced density matrix of the
system is carried out exactly, and time-dependence of decoherence is
identified, similar to recent results for related models. Our key finding is
that the decoherence process is controlled by spectral properties of the
interaction rather than system's Hamiltonian.
| [
{
"version": "v1",
"created": "Wed, 10 Sep 1997 02:27:49 GMT"
},
{
"version": "v2",
"created": "Sun, 30 Aug 1998 14:05:27 GMT"
}
] | 2014-11-18T00:00:00 | [
[
"Mozyrsky",
"D.",
""
],
[
"Privman",
"V.",
""
]
] |
quant-ph/9709021 | Georg Junker | Georg Junker, Pinaki Roy | Supersymmetric Construction of Exactly Solvable Potentials and
Non-Linear Algebras | LaTeX, 11 pages, 3 figures, figures added, minor misprints corrected.
to appear in Russian Journal of Nuclear Physics (Yadernaya Fizika) | Yad.Fiz.61:1850-1856,1998; Phys.Atom.Nucl.61:1736-1743,1998 | null | null | quant-ph hep-th math.QA nlin.SI q-alg solv-int | null | Using algebraic tools of supersymmetric quantum mechanics we construct
classes of conditionally exactly solvable potentials being the supersymmetric
partners of the linear or radial harmonic oscillator. With the help of the
raising and lowering operators of these harmonic oscillators and the SUSY
operators we construct ladder operators for these new conditionally solvable
systems. It is found that these ladder operators together with the Hamilton
operator form a non-linear algebra which is of quadratic and cubic type for the
SUSY partners of the linear and radial harmonic oscillator, respectively.
| [
{
"version": "v1",
"created": "Wed, 10 Sep 1997 13:25:40 GMT"
},
{
"version": "v2",
"created": "Thu, 11 Sep 1997 08:58:52 GMT"
},
{
"version": "v3",
"created": "Fri, 12 Sep 1997 13:41:52 GMT"
}
] | 2011-04-15T00:00:00 | [
[
"Junker",
"Georg",
""
],
[
"Roy",
"Pinaki",
""
]
] |
quant-ph/9709022 | Eyal Buks | E. Buks, R. Schuster, M. Heiblum, D. Mahalu, and V. Umansky (Weizmann
Institute of Science) | Dephasing due to Which Path Detector | 8 pages, 3 figures | null | 10.1016/S0921-4526(98)00118-5 | null | quant-ph cond-mat.mes-hall | null | We study dephasing of electrons induced by a which path detector and thus
verify Bohr's complementarity principle for fermions. We utilize a double path
interferometer with two slits, with one slit being replaced by a coherent
quantum dot (QD). A short one dimensional channel, in the form of a quantum
point contact (QPC), in close proximity to the QD, serves as a which path
detector. We find that by varying the properties of the QPC detector we affect
the visibility of the interference, inducing thus dephasing. We develop a
simple model to explain the dephasing due to the nearby detector and find good
agreement with the experiment.
| [
{
"version": "v1",
"created": "Wed, 10 Sep 1997 19:34:28 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Buks",
"E.",
"",
"Weizmann\n Institute of Science"
],
[
"Schuster",
"R.",
"",
"Weizmann\n Institute of Science"
],
[
"Heiblum",
"M.",
"",
"Weizmann\n Institute of Science"
],
[
"Mahalu",
"D.",
"",
"Weizmann\n Institute of Science"
],
[
"Umansky",
"V.",
"",
"Weizmann\n Institute of Science"
]
] |
quant-ph/9709023 | Valery Rupasov | Sajeev John and Valery I. Rupasov | Quantum self-induced transparency in frequency gap media | 5 pages, RevTex | Europhys.Lett.46:326-331,1999 | 10.1209/epl/i1999-00264-2 | null | quant-ph cond-mat | null | We study quantum effects of light propagation through an extended absorbing
system of two-level atoms placed within a frequency gap medium (FGM). Apart
from ordinary solitons and single particle impurity band states, the
many-particle spectrum of the system contains massive pairs of confined gap
excitations and their bound complexes - gap solitons. In addition,
``composite'' solitons are predicted as bound states of ordinary and gap
solitons. Quantum gap and composite solitons propagate without dissipation, and
should be associated with self-induced transparency pulses in a FGM.
| [
{
"version": "v1",
"created": "Wed, 10 Sep 1997 19:57:10 GMT"
}
] | 2010-12-17T00:00:00 | [
[
"John",
"Sajeev",
""
],
[
"Rupasov",
"Valery I.",
""
]
] |
quant-ph/9709024 | null | L. Lanz, B. Vacchini | Incoherent dynamics in neutron-matter interaction | 15 pages, revtex, no figures, to appear in Phys. Rev. A | Phys.Rev.A56:4826-4838,1997 | 10.1103/PhysRevA.56.4826 | IFUM 559/FT | quant-ph | null | Coherent and incoherent neutron-matter interaction is studied inside a
recently introduced approach to subdynamics of a macrosystem. The equation
describing the interaction is of the Lindblad type and using the Fermi
pseudopotential we show that the commutator term is an optical potential
leading to well-known relations in neutron optics. The other terms, usually
ignored in optical descriptions and linked to the dynamic structure function of
the medium, give an incoherent contribution to the dynamics, which keeps
diffuse scattering and attenuation of the coherent beam into account, thus
warranting fulfilment of the optical theorem. The relevance of this analysis to
experiments in neutron interferometry is briefly discussed.
| [
{
"version": "v1",
"created": "Thu, 11 Sep 1997 09:25:42 GMT"
}
] | 2008-12-18T00:00:00 | [
[
"Lanz",
"L.",
""
],
[
"Vacchini",
"B.",
""
]
] |
quant-ph/9709025 | Raymond Laflamme | R. Laflamme, E. Knill, W.H. Zurek, P. Catasti, S.V.S. Mariappan | NMR GHZ | 4 pages in RevTex, 3 figures, the paper is also avalaible at
http://qso.lanl.gov/qc/ | Phil.Trans.Roy.Soc.Lond. A356 (1998) 1941-1948 | 10.1098/rsta.1998.0257 | null | quant-ph | null | We describe the creation of a Greenberger-Horne-Zeilinger (GHZ) state of the
form |000>+|111> (three maximally entangled quantum bits) using Nuclear
Magnetic Resonance (NMR). We have successfully carried out the experiment using
the proton and carbon spins of trichloroethylene, and confirmed the result
using state tomography. We have thus extended the space of entangled quantum
states explored systematically to three quantum bits, an essential step for
quantum computation.
| [
{
"version": "v1",
"created": "Thu, 11 Sep 1997 16:57:46 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Laflamme",
"R.",
""
],
[
"Knill",
"E.",
""
],
[
"Zurek",
"W. H.",
""
],
[
"Catasti",
"P.",
""
],
[
"Mariappan",
"S. V. S.",
""
]
] |
quant-ph/9709026 | Daniel Rohrlich | Sandu Popescu and Daniel Rohrlich | Causality and Nonlocality as Axioms for Quantum Mechanics | 9 pages, RevTeX; for the proceedings of the symposium on Causality
and Locality in Modern Physics and Astronomy: Open Questions and Possible
Solutions (York University, Toronto, August 25-29, 1997). This version
contains an additional affiliation and address for one author | null | null | TAUP 2452-97 | quant-ph | null | Quantum mechanics permits nonlocality - both nonlocal correlations and
nonlocal equations of motion - while respecting relativistic causality. Is
quantum mechanics the unique theory that reconciles nonlocality and causality?
We consider two models, going beyond quantum mechanics, of nonlocality:
"superquantum" correlations, and nonlocal "jamming" of correlations. These
models are consistent with some definitions of nonlocality and causality.
| [
{
"version": "v1",
"created": "Thu, 11 Sep 1997 20:34:14 GMT"
},
{
"version": "v2",
"created": "Sun, 5 Oct 1997 21:58:17 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Popescu",
"Sandu",
""
],
[
"Rohrlich",
"Daniel",
""
]
] |
quant-ph/9709027 | Francisco Javier Delgado Cepeda | Francisco Delgado C. (1 and 2) and Bogdan Mielnik (1 and 3) ((1)
Physics Department, Centro de Investigacion y Estudios Avanzados, Mexico, (2)
Mathematics Department, Instituto Tecnologico y de Estudios Superiores de
Monterrey-Campus Estado de Mexico, Mexico, (3) Physics Department, Warsaw
University, Poland) | Are there Floquet Quanta? | 10 pages, Latex, 2 gzip-compressed figures in figf.tar.gz | Phys.Lett. A249 (1998) 369-375 | 10.1016/S0375-9601(98)00777-4 | CIEA-FIS/97-06 | quant-ph | null | The Zeldovich hypothesis is revised and the meaning of quasi energy spectra
is discussed. The observation of Floquet resonance for microobjects in quickly
oscillating external fields might bring a new information about the time scale
of hypothetical quantum jumps.
| [
{
"version": "v1",
"created": "Thu, 11 Sep 1997 21:33:57 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"C.",
"Francisco Delgado",
"",
"1 and 2"
],
[
"Mielnik",
"Bogdan",
"",
"1 and 3"
]
] |
quant-ph/9709028 | Francisco Javier Delgado Cepeda | Francisco Delgado C. (1 and 2), Bogdan Mielnik (1 and 3) and Marco A.
Reyes (1 and 4) ((1) Physics Department, Centro de Investigacion y Estudios
Avanzados, Mexico, (2) Mathematics Department, Instituto Tecnologico y de
Estudios Superiores de Monterrey-Campus Estado de Mexico, Mexico, (3) Physics
Department, Warsaw University, Poland, (4) Physics Department, Universidad de
Guanajuato, Mexico) | Squeezed States and Helmholtz Spectra | 10 pages, Latex, 3 gzip-compressed figures in figh.tar.gz | null | 10.1016/S0375-9601(97)00882-7 | CIEA-FIS/97-07 | quant-ph | null | The 'classical interpretation' of the wave function psi(x) reveals an
interesting operational aspect of the Helmholtz spectra. It is shown that the
traditional Sturm-Liouville problem contains the simplest key to predict the
squeezing effect for charged particle states.
| [
{
"version": "v1",
"created": "Fri, 12 Sep 1997 02:55:01 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"C.",
"Francisco Delgado",
"",
"1 and 2"
],
[
"Mielnik",
"Bogdan",
"",
"1 and 3"
],
[
"Reyes",
"Marco A.",
"",
"1 and 4"
]
] |
quant-ph/9709029 | null | William K. Wootters (Williams College) | Entanglement of Formation of an Arbitrary State of Two Qubits | 13 pages, LaTeX, no figures | Phys.Rev.Lett.80:2245-2248,1998 | 10.1103/PhysRevLett.80.2245 | null | quant-ph | null | The entanglement of a pure state of a pair of quantum systems is defined as
the entropy of either member of the pair. The entanglement of formation of a
mixed state is defined as the minimum average entanglement of an ensemble of
pure states that represents the given mixed state. An earlier paper [Phys. Rev.
Lett. 78, 5022 (1997)] conjectured an explicit formula for the entanglement of
formation of a pair of binary quantum objects (qubits) as a function of their
density matrix, and proved the formula to be true for a special class of mixed
states. The present paper extends the proof to arbitrary states of this system
and shows how to construct entanglement-minimizing pure-state decompositions.
| [
{
"version": "v1",
"created": "Fri, 12 Sep 1997 22:10:35 GMT"
},
{
"version": "v2",
"created": "Sat, 13 Sep 1997 14:57:25 GMT"
}
] | 2009-01-23T00:00:00 | [
[
"Wootters",
"William K.",
"",
"Williams College"
]
] |
quant-ph/9709030 | Arvind | R. Simon and Mary Selvadoray and Arvind and N. Mukunda | Necessary and Sufficient Classicality Conditions on Photon Number
Distributions | 12-pages in revtex with three ps figure included using epsf | null | null | null | quant-ph | null | We exploit results on the classical Stieltjes moment problem to obtain
completely explicit necessary and sufficient conditions for the photon number
distribution p(n) of a radiation field mode to be classical. These conditions
are given in two forms - respectively local and global in the individual photon
number probabilities. Central to the first approach is the recognition of the
important fact that the quantities n!p(n) are moments of a quasiprobability
distribution, notwithstanding the fact that p(n)'s can by themselves be
considered as a probability distribution over the nonnegative integers. This
leads to local classicality conditions involving p(n)'s for only a small number
of values of n. This local approach enables us to present detailed quantitative
statements on the connection between nonclassicality and oscillations in the
photon number distribution. The second approach is in terms of the traditional
factorial moments of p(n). Equivalence of the two approaches is established.
| [
{
"version": "v1",
"created": "Sat, 13 Sep 1997 11:50:17 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Simon",
"R.",
""
],
[
"Selvadoray",
"Mary",
""
],
[
"Arvind",
"",
""
],
[
"Mukunda",
"N.",
""
]
] |
quant-ph/9709031 | Benni Reznik | Y. Aharonov, J. Oppenheim, S. Popescu, B. Reznik, W. G. Unruh | Measurement of Time-of-Arrival in Quantum Mechanics | References added. To appear in Phys. Rev. A | Phys.Rev. A57 (1998) 4130 | 10.1103/PhysRevA.57.4130 | LAUR-96-4753 | quant-ph gr-qc | null | It is argued that the time-of-arrival cannot be precisely defined and
measured in quantum mechanics. By constructing explicit toy models of a
measurement, we show that for a free particle it cannot be measured more
accurately then $\Delta t_A \sim 1/E_k$, where $E_k$ is the initial kinetic
energy of the particle. With a better accuracy, particles reflect off the
measuring device, and the resulting probability distribution becomes distorted.
It is shown that a time-of-arrival operator cannot exist, and that approximate
time-of-arrival operators do not correspond to the measurements considered
here.
| [
{
"version": "v1",
"created": "Sun, 14 Sep 1997 18:51:32 GMT"
},
{
"version": "v2",
"created": "Tue, 13 Jan 1998 21:44:26 GMT"
},
{
"version": "v3",
"created": "Thu, 29 Jan 1998 18:00:48 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Aharonov",
"Y.",
""
],
[
"Oppenheim",
"J.",
""
],
[
"Popescu",
"S.",
""
],
[
"Reznik",
"B.",
""
],
[
"Unruh",
"W. G.",
""
]
] |
quant-ph/9709032 | Max Tegmark | Max Tegmark (IAS) | The Interpretation of Quantum Mechanics: Many Worlds or Many Words? | 6 pages. More details and links at
http://www.sns.ias.edu/~max/everett.html (faster from the US), from
http://www.mpa-garching.mpg.de/~max/everett.html (faster from Europe) or from
[email protected] | Fortsch.Phys.46:855-862,1998 | 10.1002/(SICI)1521-3978(199811)46:6/8<855::AID-PROP855>3.0.CO;2-Q | null | quant-ph gr-qc hep-th | null | As cutting-edge experiments display ever more extreme forms of non-classical
behavior, the prevailing view on the interpretation of quantum mechanics
appears to be gradually changing. A (highly unscientific) poll taken at the
1997 UMBC quantum mechanics workshop gave the once all-dominant Copenhagen
interpretation less than half of the votes. The Many Worlds interpretation
(MWI) scored second, comfortably ahead of the Consistent Histories and Bohm
interpretations. It is argued that since all the above-mentioned approaches to
nonrelativistic quantum mechanics give identical cookbook prescriptions for how
to calculate things in practice, practical-minded experimentalists, who have
traditionally adopted the ``shut-up-and-calculate interpretation'', typically
show little interest in whether cozy classical concepts are in fact real in
some untestable metaphysical sense or merely the way we subjectively perceive a
mathematically simpler world where the Schrodinger equation describes
everything - and that they are therefore becoming less bothered by a profusion
of worlds than by a profusion of words.
Common objections to the MWI are discussed. It is argued that when
environment-induced decoherence is taken into account, the experimental
predictions of the MWI are identical to those of the Copenhagen interpretation
except for an experiment involving a Byzantine form of ``quantum suicide''.
This makes the choice between them purely a matter of taste, roughly equivalent
to whether one believes mathematical language or human language to be more
fundamental.
| [
{
"version": "v1",
"created": "Mon, 15 Sep 1997 23:19:59 GMT"
}
] | 2015-06-26T00:00:00 | [
[
"Tegmark",
"Max",
"",
"IAS"
]
] |
quant-ph/9709033 | Marius Grigorescu | M. Grigorescu | Decoherence and Dissipation in Quantum Two-State Systems | 17 pages, LaTex, 3 postscript figures; replaced to correct typo in
Eq. (5) | Physica A256 (1998) 149-162 | 10.1016/S0378-4371(98)00076-4 | FT-427-May 1997 | quant-ph physics.atom-ph | null | The Brownian dynamics of the density operator for a quantum system
interacting with a classical heat bath is described using a stochastic,
non-linear Liouville equation obtained from a variational principle. The
environment's degrees of freedom are simulated by classical harmonic
oscillators, while the dynamical variables of the quantum system are two
non-hermitian "square root operators" defined by a Gauss-like decomposition of
the density operator. The rate of the noise-induced transitions is expressed as
a function of the environmental spectral density, and is discussed for the case
of the white noise and blackbody radiation. The result is compared with the
rate determined by a quantum environment, calculated by partial tracing in the
whole Hilbert space. The time-dependence of the von Neumann entropy and of the
dissipated energy is obtained numerically for a system of two quantum states.
These are the ground and first excited state of the center of mass vibrations
for an ion confined in a harmonic trap.
| [
{
"version": "v1",
"created": "Tue, 16 Sep 1997 10:06:40 GMT"
},
{
"version": "v2",
"created": "Mon, 17 Jan 2005 13:03:02 GMT"
}
] | 2015-06-26T00:00:00 | [
[
"Grigorescu",
"M.",
""
]
] |
quant-ph/9709034 | Gian Paolo Vacca | L. Faccioli, F. Finelli, G. P. Vacca, G. Venturi | A Comment on "Semiquantum Chaos" | 4 pages (latex), 1 figure (postscript) | Phys.Rev.Lett.81:240,1998 | 10.1103/PhysRevLett.81.240 | null | quant-ph hep-th | null | The identification of the particle creation and distruction operators is
discussed.
| [
{
"version": "v1",
"created": "Tue, 16 Sep 1997 10:36:33 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Faccioli",
"L.",
""
],
[
"Finelli",
"F.",
""
],
[
"Vacca",
"G. P.",
""
],
[
"Venturi",
"G.",
""
]
] |
quant-ph/9709035 | Cheon Taksu | Taksu Cheon and T. Shigehara | Realizing Discontinuous Wave Functions with Renormalized Short-Range
Potentials | 4 pages, ReVTeX double column format with an epsf figure, expanded
references | Physics Letters A243 (1998) 111-116 | 10.1016/S0375-9601(98)00188-1 | null | quant-ph chao-dyn nlin.CD nucl-th | null | It is shown that a potential consisting of three Dirac's delta functions on
the line with disappearing distances can give rise to the discontinuity in wave
functions with the proper renormalization of the delta function strength. This
can be used as a building block, along with the usual Dirac's delta, to
construct the most general three-parameter family of point interactions, which
allow both discontinuity and asymmetry of the wave function, as the zero-size
limit of self-adjoint local operators in one-dimensional quantum mechanics.
Experimental realization of the Neumann boundary is discussed.
KEYWORDS: point interaction, self-adjoint extension, $\delta'$ potential,
wave function discontinuity, Neumann boundary
PACS Nos: 3.65.-w, 11.10.Gh, 68.65+g
| [
{
"version": "v1",
"created": "Wed, 17 Sep 1997 10:19:21 GMT"
},
{
"version": "v2",
"created": "Wed, 1 Oct 1997 08:56:32 GMT"
},
{
"version": "v3",
"created": "Thu, 2 Oct 1997 10:12:40 GMT"
},
{
"version": "v4",
"created": "Sun, 15 Mar 1998 07:03:16 GMT"
}
] | 2009-09-25T00:00:00 | [
[
"Cheon",
"Taksu",
""
],
[
"Shigehara",
"T.",
""
]
] |
quant-ph/9709036 | Peter Nattermann | H.-D. Doebner, G.A. Goldin, and P. Nattermann | Gauge Transformations in Quantum Mechanics and the Unification of
Nonlinear Schr\"odinger Equations | RevTeX, 20 pages, no figures. also available on
http://www.pt.tu-clausthal.de/preprints/asi-tpa/021-96.html | J.Math.Phys. 40 (1999) 49-63 | 10.1063/1.532786 | ASI-TPA/21/96 | quant-ph | null | Beginning with ordinary quantum mechanics for spinless particles, together
with the hypothesis that all experimental measurements consist of positional
measurements at different times, we characterize directly a class of nonlinear
quantum theories physically equivalent to linear quantum mechanics through
nonlinear gauge transformations. We show that under two physically-motivated
assumptions, these transformations are uniquely determined: they are exactly
the group of time-dependent, nonlinear gauge transformations introduced
previously for a family of nonlinear Schr\"odinger equations. The general
equation in this family, including terms considered by Kostin, by
Bialynicki-Birula and Mycielski, and by Doebner and Goldin, with time-dependent
coefficients, can be obtained from the linear Schr\"odinger equation through
gauge transformation and a subsequent process we call gauge generalization. We
thus unify, on fundamental grounds, a rather diverse set of nonlinear
time-evolutions in quantum mechanics.
| [
{
"version": "v1",
"created": "Wed, 17 Sep 1997 13:13:10 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Doebner",
"H. -D.",
""
],
[
"Goldin",
"G. A.",
""
],
[
"Nattermann",
"P.",
""
]
] |
quant-ph/9709037 | Vicente Delgado Borges | V. Delgado (Universidad de La Laguna) | Probability distribution of arrival times in quantum mechanics | 21 pages, LaTeX, no figures; A Note added; To be published in Phys.
Rev. A | Phys.Rev.A57:762,1998 | 10.1103/PhysRevA.57.762 | null | quant-ph | null | In a previous paper [V. Delgado and J. G. Muga, Phys. Rev. A 56, 3425 (1997)]
we introduced a self-adjoint operator $\hat {{\cal T}}(X)$ whose eigenstates
can be used to define consistently a probability distribution of the time of
arrival at a given spatial point. In the present work we show that the
probability distribution previously proposed can be well understood on
classical grounds in the sense that it is given by the expectation value of a
certain positive definite operator $\hat J^{(+)}(X)$ which is nothing but a
straightforward quantum version of the modulus of the classical current. For
quantum states highly localized in momentum space about a certain momentum $p_0
\neq 0$, the expectation value of $\hat J^{(+)}(X)$ becomes indistinguishable
from the quantum probability current. This fact may provide a justification for
the common practice of using the latter quantity as a probability distribution
of arrival times.
| [
{
"version": "v1",
"created": "Wed, 17 Sep 1997 19:09:08 GMT"
},
{
"version": "v2",
"created": "Wed, 3 Dec 1997 19:35:10 GMT"
}
] | 2011-08-11T00:00:00 | [
[
"Delgado",
"V.",
"",
"Universidad de La Laguna"
]
] |
quant-ph/9709038 | Valery Pokrovsky | V. A. Kalatsky, E. M\"uller--Hartmann, V. L. Pokrovsky and G. S. Uhrig | Berry's phase for large spins in external fields | 4 pages RevTex | null | 10.1103/PhysRevLett.80.1304 | null | quant-ph | null | It is shown that even for large spins $J$ the fundamental difference between
integer and half-integer spins persists. In a quasi-classical description this
difference enters via Berry's connection. This general phenomenon is derived
and illustrated for large spins confined to a plane by crystalline electric
fields. Physical realizations are rare-earth Nickel Borocarbides. Magnetic
moments for half-integer spin
(Dy$^{3+}$, $J=15/2$) and magnetic susceptibilities for integer spin
(Ho$^{3+}$, $J=8$) are calculated. Experiments are proposed to furnish evidence
for the predicted fundamental difference.
| [
{
"version": "v1",
"created": "Wed, 17 Sep 1997 23:29:14 GMT"
}
] | 2016-09-08T00:00:00 | [
[
"Kalatsky",
"V. A.",
""
],
[
"Müller--Hartmann",
"E.",
""
],
[
"Pokrovsky",
"V. L.",
""
],
[
"Uhrig",
"G. S.",
""
]
] |
quant-ph/9709039 | Boris F. Samsonov | Boris F. Samsonov and L.A. Shekoyan | Supersymmetry of the Nonstationary Schr\"odinger equation and
Time-Dependent Exactly Solvable Quantum Models | Talk at the 8th International Conference "Symmetry Methods in
Physics". Dubna, Russia, 28 July - 2 August, 1997 | Phys.Atom.Nucl.63:657-660,2000; Yad.Fiz.63:723-726,2000 | 10.1134/1.855682 | null | quant-ph | null | New exactly solvable quantum models are obtained with the help of the
supersymmetric extencion of the nonstationary Schr/"odinger equation.
| [
{
"version": "v1",
"created": "Thu, 18 Sep 1997 09:50:46 GMT"
}
] | 2011-04-15T00:00:00 | [
[
"Samsonov",
"Boris F.",
""
],
[
"Shekoyan",
"L. A.",
""
]
] |
quant-ph/9709040 | Boris F. Samsonov | Vladislav G. Bagrov, Boris F. Samsonov | Time Dependent Supersymmetry in Quantum Mechanics | Talk given at the 7-th Lomonosov Conference "Problems of Fundamental
Physics", 24-30 August, 1995, see proceedings book (with the minor
corrections) Moscow, 1997, p. 54-61 | null | null | null | quant-ph | null | The well-known supersymmetric constructions such as Witten's supersymmetric
quantum mechanics, Spiridonov-Rubakov parasupersymmetric quantum mechanics, and
higher-derivative SUSY of Andrianov et al. are extended to the nonstationary
Schr\"odinger equation. All these constructions are based on the time-dependent
Darboux transformation. The superalgebra over the conventional Lie algebra is
constructed. Examples of time-dependent exactly solvable potentials are given.
| [
{
"version": "v1",
"created": "Thu, 18 Sep 1997 10:58:33 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Bagrov",
"Vladislav G.",
""
],
[
"Samsonov",
"Boris F.",
""
]
] |
quant-ph/9709041 | Boris F. Samsonov | Boris F. Samsonov | Supersymmetry and Supercoherent States of a Nonrelativistic Free
Particle | null | J.Math.Phys. 38 (1997) 4492-4503 | 10.1063/1.532139 | null | quant-ph | null | Coordinate atypical representation of the orthosymplectic superalgebra
osp(2/2) in a Hilbert superspace of square integrable functions constructed in
a special way is given. The quantum nonrelativistic free particle Hamiltonian
is an element of this superalgebra which turns out to be a dynamical
superalgebra for this system. The supercoherent states, defined by means of a
supergroup displacement operator, are explicitly constructed. These are the
coordinate representation of the known atypical abstract super group $OSp(2/2)$
coherent states. We interpret obtained results from the classical mechanics
viewpoint as a model of classical particle which is immovable in the even
sector of the phase superspace and is in rectilinear movement (in the
appropriate coordinate system) in its odd sector.
| [
{
"version": "v1",
"created": "Thu, 18 Sep 1997 09:49:07 GMT"
}
] | 2016-09-08T00:00:00 | [
[
"Samsonov",
"Boris F.",
""
]
] |
quant-ph/9709042 | Sara Schneider | S. Schneider, H.M. Wiseman, W.J. Munro and G.J. Milburn | Measurement and state preparation via ion trap quantum computing | 11 pages and 2 figures, submitted to Fortschritte der Physik | Fortsch.Phys. 46 (1998) 391-400 | 10.1002/(SICI)1521-3978(199806)46:4/5<391::AID-PROP391>3.0.CO;2-0 | null | quant-ph | null | We investigate in detail the effects of a QND vibrational number measurement
made on single ions in a recently proposed measurement scheme for the
vibrational state of a register of ions in a linear rf trap [C. D'Helon and
G.J. Milburn, Phys. Rev. A 54, 5141 (1996)]. The performance of a measurement
shows some interesting patterns which are closely related to searching.
| [
{
"version": "v1",
"created": "Fri, 19 Sep 1997 05:38:37 GMT"
}
] | 2016-10-26T00:00:00 | [
[
"Schneider",
"S.",
""
],
[
"Wiseman",
"H. M.",
""
],
[
"Munro",
"W. J.",
""
],
[
"Milburn",
"G. J.",
""
]
] |
quant-ph/9709043 | Mohammad Ardehali | M. Ardehali | A Bell inequality which can be used to test locality more simply than
Clauser-Horne inequality and which is violated by a larger magnitude of
violation than Clauser-Horne-Shimony-Holt inequality | LaTeX file, 18 pages, no figures | null | null | null | quant-ph | null | A correlation inequality is derived from local realism and a supplementary
assumption. Unlike Clauser-Horne (CH) inequality [or Clauser-Horne-Shimony-Holt
(CHSH) inequality] which is violated by quantum mechanics by a factor of $\sqrt
2$, this inequality is violated by a factor of 1.5. Thus the magnitude of
violation of this inequality is approximately 20.7% larger than the magnitude
of violation of previous inequalities. Moreover, unlike CH (or CHSH) inequality
which requires the measurement of five detection probabilities, the present
inequality requires the measurement of only two detection probabilities. This
inequality can therefore be used to test locality more simply than CH or CHSH
inequality.
| [
{
"version": "v1",
"created": "Fri, 19 Sep 1997 10:46:12 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Ardehali",
"M.",
""
]
] |
quant-ph/9709044 | Peter Nattermann | Peter Nattermann | On (non)linear Quantum Mechanics | RevTeX, 10 pages, 1 figure; uses graphicx and fancybox. also
available on http://www.pt.tu-clausthal.de/preprints/asi-tpa/013-97.html | null | null | ASI-TPA/13/97 | quant-ph | null | We review a possible framework for (non)linear quantum theories, into which
linear quantum mechanics fits as well, and discuss the notion of
``equivalence'' in this setting. Finally, we draw the attention to persisting
severe problems of nonlinear quantum theories.
| [
{
"version": "v1",
"created": "Fri, 19 Sep 1997 12:23:09 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Nattermann",
"Peter",
""
]
] |
quant-ph/9709045 | Masahito Ueda | Masahito Ueda (Hiroshima University) | Logical Reversibility and Physical Reversibility in Quantum Measurement | 9pages, LaTex, Invited lecture presented at the Int. Conf. on
Frontiers in Quantum Physics (Kuala Lumpur, Malaysia, 9-11 July, 1997) to be
published from Springer-Verlag, e-mail: [email protected] | null | null | null | quant-ph | null | A quantum measurement is logically reversible if the premeasurement density
operator of the measured system can be calculated from the postmeasurement
density operator and from the outcome of the measurement. This paper analyzes
why many quantum measurements are logically irreversible, shows how to make
them logically reversible, and discusses reversing measurement that returns the
postmeasurement state to the premeasurement state by another measurement
(physical reversibility). Reversing measurement and unitarily reversible
quantum operation are compared from the viewpoint of error correction in
quantum computation.
| [
{
"version": "v1",
"created": "Mon, 22 Sep 1997 03:46:38 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Ueda",
"Masahito",
"",
"Hiroshima University"
]
] |
quant-ph/9709046 | Jeong-Young Ji | Jeong-Young Ji, Hyun-Hee Jung, Kwang-Sup Soh (SNU) | Interference phenomena in the photon production between two oscillating
walls | 7 pages, RevTeX, no figures, a sign error corrected | Phys.Rev. A57 (1998) 4952 | 10.1103/PhysRevA.57.4952 | SNUTP 97-136 | quant-ph | null | We study the photon production in a 1D cavity whose left and right walls
oscillate with the frequency $\Omega_{L} $ and $\Omega_{R} $, respectively. For
$\Omega_{L} \neq \Omega_{R}, $ the number of generated photons by the
parametric resonance is the sum of the photon numbers produced when the left
and the right wall oscillates separately. But for $\Omega_{L} = \Omega_{R} $,
the interference term proportional to $\cos \phi $ is found additionally, where
$\phi $ is the phase difference between two oscillations of the walls.
| [
{
"version": "v1",
"created": "Mon, 22 Sep 1997 06:33:29 GMT"
},
{
"version": "v2",
"created": "Thu, 25 Sep 1997 08:25:18 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Ji",
"Jeong-Young",
"",
"SNU"
],
[
"Jung",
"Hyun-Hee",
"",
"SNU"
],
[
"Soh",
"Kwang-Sup",
"",
"SNU"
]
] |
quant-ph/9709047 | Adan Cabello Quintero | Adan Cabello, Guillermo Garcia-Alcaine | Proposed experimental tests of the Bell-Kochen-Specker theorem | LaTeX, 8 pages | Phys.Rev.Lett.80:1797-1799,1998 | 10.1103/PhysRevLett.80.1797 | null | quant-ph | null | For a two-particle two-state system, sets of compatible propositions exist
for which quantum mechanics and noncontextual hidden-variable theories make
conflicting predictions for every individual system whatever its quantum state.
This permits a simple all-or-nothing state-independent experimental
verification of the Bell-Kochen-Specker theorem.
| [
{
"version": "v1",
"created": "Mon, 22 Sep 1997 10:25:49 GMT"
},
{
"version": "v2",
"created": "Fri, 19 Dec 1997 11:25:43 GMT"
},
{
"version": "v3",
"created": "Thu, 19 Feb 1998 23:44:13 GMT"
}
] | 2009-01-23T00:00:00 | [
[
"Cabello",
"Adan",
""
],
[
"Garcia-Alcaine",
"Guillermo",
""
]
] |
quant-ph/9709048 | Dorje C. Brody | D.C. Brody (DAMTP, Cambridge), L.P. Hughston (Merrill Lynch, London) | The Quantum Canonical Ensemble | 8 pages, minor corrections. to appear in JMP vol. 39 | J.Math.Phys. 39 (1998) 6502-6508 | 10.1063/1.532661 | null | quant-ph | null | The phase space of quantum mechanics can be viewed as the complex projective
space endowed with a Kaehlerian structure given by the Fubini-Study metric and
an associated symplectic form. We can then interpret the Schrodinger equation
as generating a Hamiltonian dynamics. Based upon the geometric structure of the
quantum phase space we introduce the corresponding natural microcanonical and
canonical ensembles. The resulting density matrix for the canonical ensemble
differs from density matrix of the conventional approach. As an illustration,
the results are applied to the case of a spin one-half particle in a heat bath
with an applied magnetic field.
| [
{
"version": "v1",
"created": "Tue, 23 Sep 1997 13:59:42 GMT"
},
{
"version": "v2",
"created": "Thu, 1 Oct 1998 13:03:40 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Brody",
"D. C.",
"",
"DAMTP, Cambridge"
],
[
"Hughston",
"L. P.",
"",
"Merrill Lynch, London"
]
] |
quant-ph/9709049 | Alexei Ashikhmin | Alexei Ashikhmin and Simon Litsyn | Upper Bounds on the Size of Quantum Codes | 20 pages, 2 figures | null | null | null | quant-ph | null | Several upper bounds on the size of quantum codes are derived using the
linear programming approach. These bounds are strengthened for the linear
quantum codes.
| [
{
"version": "v1",
"created": "Tue, 23 Sep 1997 18:32:03 GMT"
},
{
"version": "v2",
"created": "Mon, 29 Sep 1997 19:22:08 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Ashikhmin",
"Alexei",
""
],
[
"Litsyn",
"Simon",
""
]
] |
quant-ph/9709050 | Nurit Krausz | Nurit Krausz, M. S. Marinov (Technion, Israel) | Exact Evolution Operator on Non-compact Group Manifolds | 32 pages, 5 postscript figures, LaTex | J.Math.Phys. 41 (2000) 5180-5208 | 10.1063/1.533401 | null | quant-ph gr-qc hep-th | null | Free quantal motion on group manifolds is considered. The Hamiltonian is
given by the Laplace -- Beltrami operator on the group manifold, and the
purpose is to get the (Feynman's) evolution kernel. The spectral expansion,
which produced a series of the representation characters for the evolution
kernel in the compact case, does not exist for non-compact group, where the
spectrum is not bounded. In this work real analytical groups are investigated,
some of which are of interest for physics. An integral representation for the
evolution operator is obtained in terms of the Green function, i.e. the
solution to the Helmholz equation on the group manifold. The alternative series
expressions for the evolution operator are reconstructed from the same integral
representation, the spectral expansion (when exists) and the sum over classical
paths. For non-compact groups, the latter can be interpreted as the (exact)
semi-classical approximation, like in the compact case. The explicit form of
the evolution operator is obtained for a number of non-compact groups.
| [
{
"version": "v1",
"created": "Wed, 24 Sep 1997 15:48:27 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Krausz",
"Nurit",
"",
"Technion, Israel"
],
[
"Marinov",
"M. S.",
"",
"Technion, Israel"
]
] |
quant-ph/9709051 | C. Anastopoulos | C. Anastopoulos | On the selection of preferred consistent sets | 14 pages | Int.J.Theor.Phys. 37 (1998) 2261-2272 | null | Imperial TP/96-7/65 | quant-ph gr-qc | null | The theme of this paper is the multiplicity of the consistent sets appearing
in the consistent histories approach to quantum mechanics. We propose one
criterion for choosing preferred families among them: that the physically
realizable quasiclassical domain ought to be one corresponding to classical
histories. We examine the way classical mechanics arises as a particular window
and the important role played by the canonical group and the Hamiltonian. We
finally discuss possible implications of our having a selection criterion
generally and of our criterion in particular.
| [
{
"version": "v1",
"created": "Wed, 24 Sep 1997 16:21:53 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Anastopoulos",
"C.",
""
]
] |
quant-ph/9709052 | Eddy Timmermans | Paolo Tommasini, Eddy Timmermans and A.F.R. de Toledo Piza | The Hydrogen Atom as an Entangled Electron-Proton System | 17 pages - new version | null | 10.1119/1.18977 | null | quant-ph | null | We illustrate the description of correlated subsystems by studying the simple
two-body Hydrogen atom. We study the entanglement of the electron and proton
coordinates in the exact analytical solution. This entanglement, which we
quantify in the framework of the density matrix formalism, describes
correlations in the electron-proton motion.
| [
{
"version": "v1",
"created": "Fri, 26 Sep 1997 21:00:01 GMT"
},
{
"version": "v2",
"created": "Fri, 17 Oct 1997 16:01:01 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Tommasini",
"Paolo",
""
],
[
"Timmermans",
"Eddy",
""
],
[
"Piza",
"A. F. R. de Toledo",
""
]
] |
quant-ph/9709053 | Chau Hoi Fung | H. F. Chau and H.-K. Lo | Making An Empty Promise With A Quantum Computer | We have revised our paper to emphasize that the result applies to all
bit commitment schemes (including ones with measurements). Besides, some
minor inaccuracy was corrected | Fortsch.Phys. 46 (1998) 507-520 | 10.1002/(SICI)1521-3978(199806)46:4/5<507::AID-PROP507>3.0.CO;2-4 | HKUPHYS-HFC-03 | quant-ph | null | Alice has made a decision in her mind. While she does not want to reveal it
to Bob at this moment, she would like to convince Bob that she is committed to
this particular decision and that she cannot change it at a later time. Is
there a way for Alice to get Bob's trust? Until recently, researchers had
believed that the above task can be performed with the help of quantum
mechanics. And the security of the quantum scheme lies on the uncertainty
principle. Nevertheless, such optimism was recently shattered by Mayers and by
us, who found that Alice can always change her mind if she has a quantum
computer. Here, we survey this dramatic development and its implications on the
security of other quantum cryptographic schemes.
| [
{
"version": "v1",
"created": "Sat, 27 Sep 1997 04:51:41 GMT"
},
{
"version": "v2",
"created": "Tue, 7 Oct 1997 05:47:07 GMT"
}
] | 2015-06-26T00:00:00 | [
[
"Chau",
"H. F.",
""
],
[
"Lo",
"H. -K.",
""
]
] |
quant-ph/9709054 | Martti Havukainen | Martti Havukainen and Stig Stenholm (Helsinki Institute of Physics,
Finland) | An open systems approach to calculating time dependent spectra | 8 pages, revtex, 18 figures, to be published in J.Mod.Opt | null | 10.1080/09500349808230663 | HIP-1997-54/TH | quant-ph | null | A new method to calculate the spectrum using cascaded open systems and master
equations is presented. The method uses two state analyzer atoms which are
coupled to the system of interest, whose spectrum of radiation is read from the
excitation of these analyzer atoms. The ordinary definitions of a spectrum uses
two-time averages and Fourier-transforms. The present method uses only one-time
averages. The method can be used to calculate time dependent as well as
stationary spectra.
| [
{
"version": "v1",
"created": "Mon, 29 Sep 1997 07:51:53 GMT"
}
] | 2015-06-26T00:00:00 | [
[
"Havukainen",
"Martti",
"",
"Helsinki Institute of Physics,\n Finland"
],
[
"Stenholm",
"Stig",
"",
"Helsinki Institute of Physics,\n Finland"
]
] |
quant-ph/9709055 | A. Yu. Trifonov | V.G.Bagrov, V.V.Belov, M.M. Nikitin, and A.Yu.Trifonov | The quantum effects in the undulator of infinite length | 18 pages, AMS-LATEX, no figures. Int. J. Mod. Phys. B (to sub.) | null | null | null | quant-ph | null | The first order quantum correction to the power of spontaneous radiation of
electrons in an arbitrary two-component periodic magnetic field was obtained.
The phenomenon of selfpolarization of the spin of electrons in a process of
spontaneous radiation was also studied. By electron's motion in a spiral
magnetic undulator, the quantitative characteristics of selfpolarization (the
polarization degree and the relaxation time) are different from corresponding
ones in synchrotron radiation. The limiting cases of near-axis and
ultrarelativistic approximation were considered.
| [
{
"version": "v1",
"created": "Mon, 29 Sep 1997 10:42:50 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Bagrov",
"V. G.",
""
],
[
"Belov",
"V. V.",
""
],
[
"Nikitin",
"M. M.",
""
],
[
"Trifonov",
"A. Yu.",
""
]
] |
quant-ph/9709056 | Adan Cabello Quintero | Adan Cabello, Guillermo Garcia-Alcaine | Quantum mechanics and elements of reality inferred from joint
measurements | LaTeX, 12 pages | J.Phys. A30 (1997) 725-732 | 10.1088/0305-4470/30/2/032 | null | quant-ph | null | The Einstein-Podolsky-Rosen argument on quantum mechanics incompleteness is
formulated in terms of elements of reality inferred from joint (as opposed to
alternative) measurements, in two examples involving entangled states of three
spin-1/2 particles. The same states allow us to obtain proofs of the
incompatibility between quantum mechanics and elements of reality.
| [
{
"version": "v1",
"created": "Mon, 29 Sep 1997 20:39:14 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Cabello",
"Adan",
""
],
[
"Garcia-Alcaine",
"Guillermo",
""
]
] |
quant-ph/9709057 | Adan Cabello Quintero | Adan Cabello, Emilio Santos | Comment on ``Experimental demonstration of the violation of local
realism without Bell inequalities'' by Torgerson et al | LaTeX, 5 pages | Phys.Lett. A214 (1996) 316-318 | 10.1016/0375-9601(96)00123-5 | null | quant-ph | null | We exhibit a local-hidden-variable model in agreement with the results of the
two-photon coincidence experiment made by Torgerson et al. [Phys. Lett. A 204
(1995) 323]. The existence of any such model shows that the experiment does not
exclude local realism.
| [
{
"version": "v1",
"created": "Mon, 29 Sep 1997 20:50:39 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Cabello",
"Adan",
""
],
[
"Santos",
"Emilio",
""
]
] |
quant-ph/9709058 | Benjamin Schumacher | Benjamin Schumacher and Michael D. Westmoreland | Quantum privacy and quantum coherence | 6 pages RevTex; two short comments added 7 October 1997 | Phys.Rev.Lett. 80 (1998) 5695-5697 | 10.1103/PhysRevLett.80.5695 | null | quant-ph | null | We derive a simple relation between a quantum channel's capacity to convey
coherent (quantum) information and its usefulness for quantum cryptography.
| [
{
"version": "v1",
"created": "Tue, 30 Sep 1997 21:22:00 GMT"
},
{
"version": "v2",
"created": "Tue, 7 Oct 1997 17:43:10 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Schumacher",
"Benjamin",
""
],
[
"Westmoreland",
"Michael D.",
""
]
] |
quant-ph/9709059 | null | Holger Lyre | Against Measurement? -- On the Concept of Information | Talk at X-th Max Born Symposium ''Quantum Future'', Wroclaw, Sept 24
- 27, 1997 (11 pages, LaTeX) | null | null | null | quant-ph | null | In his last article "Against `Measurement'" J. S. Bell sums up his well known
critique of the problem of explaining the measurement process within the
framework of quantum theory. In this article I will discuss the measurement
process by analysing the concept of measurement from the epistemological point
of view and I will argue against Bell that it belongs to the preconditions of
experience to necessarily end up with a "reduction of the wavefunction". I will
consider the "chain of reduction" in detail -- from pure states of S&A (system
S and measuring apparatus A) via different kinds of mixtures to pure states of
A(S). It turns out that decoherence is not sufficient to explain reduction, but
that this can be done in terms of the concept of information within a
transcendental approach.
| [
{
"version": "v1",
"created": "Tue, 30 Sep 1997 23:59:16 GMT"
},
{
"version": "v2",
"created": "Thu, 27 Aug 1998 16:27:35 GMT"
}
] | 2008-02-03T00:00:00 | [
[
"Lyre",
"Holger",
""
]
] |
quant-ph/9710001 | Nicolas Cerf | N. J. Cerf, C. Adami, R. M. Gingrich (Caltech) | Quantum conditional operator and a criterion for separability | 19 pages, RevTeX | Phys.Rev.A60:893-898,1999 | 10.1103/PhysRevA.60.893 | KRL MAP-217 | quant-ph | null | We analyze the properties of the conditional amplitude operator, the quantum
analog of the conditional probability which has been introduced in
[quant-ph/9512022]. The spectrum of the conditional operator characterizing a
quantum bipartite system is invariant under local unitary transformations and
reflects its inseparability. More specifically, it is shown that the
conditional amplitude operator of a separable state cannot have an eigenvalue
exceeding 1, which results in a necessary condition for separability. This
leads us to consider a related separability criterion based on the positive map
$\Gamma:\rho \to (Tr \rho) - \rho$, where $\rho$ is an Hermitian operator. Any
separable state is mapped by the tensor product of this map and the identity
into a non-negative operator, which provides a simple necessary condition for
separability. In the special case where one subsystem is a quantum bit,
$\Gamma$ reduces to time-reversal, so that this separability condition is
equivalent to partial transposition. It is therefore also sufficient for
$2\times 2$ and $2\times 3$ systems. Finally, a simple connection between this
map and complex conjugation in the "magic" basis is displayed.
| [
{
"version": "v1",
"created": "Wed, 1 Oct 1997 04:02:40 GMT"
},
{
"version": "v2",
"created": "Thu, 2 Oct 1997 01:23:31 GMT"
}
] | 2011-07-19T00:00:00 | [
[
"Cerf",
"N. J.",
"",
"Caltech"
],
[
"Adami",
"C.",
"",
"Caltech"
],
[
"Gingrich",
"R. M.",
"",
"Caltech"
]
] |
quant-ph/9710002 | Paolo Zanardi | P. Zanardi (1,3) and M. Rasetti (2,3) ((1) ISI Foundation, Torino (2)
Dipartimento di fisica, Politecnico di Torino, (3) INFM Politecnico di
Torino) | Comment on: Preserving Coherence in Quantum Computation by Pairing
Quantum Bits | 2 pages, RevTeX | null | null | null | quant-ph | null | We argue that several claims of paper Phys. Rev. Lett 79, 1953 (1997), by
Lu-Ming Duan and Guang-Can Guo, are questionable. In particular we stress that
the environmental noise considered by the authors belongs to a very special
class
| [
{
"version": "v1",
"created": "Wed, 1 Oct 1997 07:00:01 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Zanardi",
"P.",
""
],
[
"Rasetti",
"M.",
""
]
] |
quant-ph/9710003 | Alberto Rimini | Giulio Peruzzi and Alberto Rimini (Dipartimento di Fisica Nucleare e
Teorica, Universita` di Pavia) | Incompatible and contradictory retrodictions in the history approach to
quantum mechanics | 4 pages, RevTeX, 3 diagrams processed by TeX | Found.Phys.Lett. 11 (1998) 201-207 | null | FNT/T-97/12 | quant-ph | null | We illustrate two simple spin examples which show that in the consistent
histories approach to quantum mechanics one can retrodict with certainty
incompatible or contradictory propositions corresponding to non-orthogonal or,
respectively, orthogonal projections. V.2 vs. V1: The example previously quoted
as "d'Espagnat's example" is now properly quoted as "Griffiths' example". A
reference to a previous work by Aharonov and Vaidman is added.
| [
{
"version": "v1",
"created": "Wed, 1 Oct 1997 09:16:28 GMT"
},
{
"version": "v2",
"created": "Fri, 7 Nov 1997 17:48:08 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Peruzzi",
"Giulio",
"",
"Dipartimento di Fisica Nucleare e\n Teorica, Universita` di Pavia"
],
[
"Rimini",
"Alberto",
"",
"Dipartimento di Fisica Nucleare e\n Teorica, Universita` di Pavia"
]
] |
quant-ph/9710004 | null | D. Cocolicchio and M. Viggiano | The WKB Approximation without Divergences | 13 pages, TeX file, to appear in Int. J. Theor. Phys | null | 10.1007/BF02435726 | Univ. Basilicata, preprint UNIBAS-MATH 10/96 | quant-ph | null | In this paper, the WKB approximation to the scattering problem is developed
without the divergences which usually appear at the classical turning points. A
detailed procedure of complexification is shown to generate results identical
to the usual WKB prescription but without the cumbersome connection formulas.
| [
{
"version": "v1",
"created": "Wed, 1 Oct 1997 09:21:22 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Cocolicchio",
"D.",
""
],
[
"Viggiano",
"M.",
""
]
] |
quant-ph/9710005 | Taksu Cheon de Caracorum | T. Shigehara, H. Mizoguchi, T. Mishima and Taksu Cheon | Spectral Properties of the Two-Dimensional Laplacian with a Finite
Number of Point Interactions | Manuscript for Proceedings of The 8th International Colloquium on
Differential Equations Plovdiv, Bulgaria, 18-23 August, 1997 | null | null | null | quant-ph chao-dyn cond-mat nlin.CD nucl-th | null | We discuss spectral properties of the Laplacian with multiple ($N$) point
interactions in two-dimensional bounded regions. A mathematically sound
formulation for the problem is given within the framework of the self-adjoint
extension of a symmetric (Hermitian) operator in functional analysis. The
eigenvalues of this system are obtained as the poles of a transition matrix
which has size $N$. Closely examining a generic behavior of the eigenvalues of
the transition matrix as a function of the energy, we deduce the general
condition under which point interactions have a substantial effect on
statistical properties of the spectrum.
| [
{
"version": "v1",
"created": "Wed, 1 Oct 1997 09:42:59 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Shigehara",
"T.",
""
],
[
"Mizoguchi",
"H.",
""
],
[
"Mishima",
"T.",
""
],
[
"Cheon",
"Taksu",
""
]
] |
quant-ph/9710006 | Taksu Cheon de Caracorum | T. Shigehara, H. Mizoguchi, T. Mishima and Taksu Cheon | Wave Chaos in Quantum Pseudointegrable Billiards | Manuscript for Proceedings of The 1997 International Symposium on
Nonlinear Theory and its Applications (NOLTA'97), Hilton Hawaiian Village,
Hawaii, Nov.29-Dec.3, 1997 | null | null | null | quant-ph chao-dyn cond-mat nlin.CD nucl-th | null | We clarify from a general perspective, the condition for the appearance of
chaotic energy spectrum in quantum pseudointegrable billiards with a point
scatterer inside.
| [
{
"version": "v1",
"created": "Wed, 1 Oct 1997 09:58:38 GMT"
}
] | 2009-09-25T00:00:00 | [
[
"Shigehara",
"T.",
""
],
[
"Mizoguchi",
"H.",
""
],
[
"Mishima",
"T.",
""
],
[
"Cheon",
"Taksu",
""
]
] |
quant-ph/9710007 | Waldemar Puszkarz | Waldemar Puszkarz | Higher Order Modification of the Schroedinger Equation | Latex, 11 pages, extended, new references added | null | null | null | quant-ph | null | We modify the Schr\"{o}dinger equation in a way that preserves its main
properties but makes use of higher order derivative terms. Although the
modification represents an analogy to the Doebner-Goldin modification, it can
differ from it quite distinctively. A particular model of this modification
including derivatives up to the fourth order is examined in greater detail. We
observe that a special variant of this model partially retains the linear
superposition principle for the wave packets of standard quantum mechanics
remain solutions to it. It is a peculiarity of this variant that a periodic
structure emerges naturally from its equations. As a result, a free particle,
in addition to a plane wave solution, can possess band solutions. It is argued
that this can give rise to well-focused particle trajectories. Owing to this
peculiarity, when interpreted outside quantum theory, the equations of this
modification could also be used to model pattern formation phenomena.
| [
{
"version": "v1",
"created": "Thu, 2 Oct 1997 03:00:38 GMT"
},
{
"version": "v2",
"created": "Wed, 8 Oct 1997 20:16:36 GMT"
},
{
"version": "v3",
"created": "Tue, 3 Feb 1998 01:07:32 GMT"
},
{
"version": "v4",
"created": "Wed, 3 Mar 1999 03:26:53 GMT"
},
{
"version": "v5",
"created": "Mon, 17 May 1999 05:10:40 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Puszkarz",
"Waldemar",
""
]
] |
quant-ph/9710008 | Waldemar Puszkarz | Waldemar Puszkarz | Relativistically Extended Modification of the Schroedinger Equation | Latex, 9 pages, extended, new references added | null | null | null | quant-ph | null | We propose a nonlinear modification of the Schr\"{o}dinger equation that
possesses the main properties of this equation such as the Galilean invariance,
the weak separability of composite systems, and the homogeneity in the wave
function. The modification is derived from the relativistic relation between
the energy and momentum of free particle and, as such, it is the best
relativistic extension of the Schr\"{o}dinger equation that preserves the
properties in question. The only change it effectively entails in the
Schr\"{o}dinger equation involves the conserved probability current. It is
pointed out that it partially retains the linear superposition principle and
that it can be used to model the process of decoherence.
| [
{
"version": "v1",
"created": "Thu, 2 Oct 1997 03:03:51 GMT"
},
{
"version": "v2",
"created": "Wed, 8 Oct 1997 20:18:34 GMT"
},
{
"version": "v3",
"created": "Wed, 3 Mar 1999 03:28:40 GMT"
},
{
"version": "v4",
"created": "Mon, 17 May 1999 05:54:27 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Puszkarz",
"Waldemar",
""
]
] |
quant-ph/9710009 | Waldemar Puszkarz | Waldemar Puszkarz | Extension of the Staruszkiewicz Modification of the Schroedinger
Equation | Latex, 12 pages, extended, new references added | null | null | null | quant-ph | null | We present an extension of Staruszkiewicz's modification of the
Schr\"{o}dinger equation which preserves its main and unique feature: in the
natural system of units the modification terms do not contain any dimensional
constants. The extension, similarly as the original, is formulated in a
three-dimensional space and derives from a Galilean invariant Lagrangian. It is
pointed out that this model of nonlinearity violates the separability of
compound systems in the fundamentalist approach to this issue. In its general
form, this modification does not admit stationary states for all potentials for
which such states exist in linear quantum mechanics. This is, however, possible
for a suitable choice of its free parameters. It is only in the original
Staruszkiewicz modification that the energy of these states remains unchanged,
which marks the uniqueness of this variant of the modification.
| [
{
"version": "v1",
"created": "Thu, 2 Oct 1997 03:10:30 GMT"
},
{
"version": "v2",
"created": "Wed, 8 Oct 1997 20:35:33 GMT"
},
{
"version": "v3",
"created": "Wed, 3 Mar 1999 03:30:16 GMT"
},
{
"version": "v4",
"created": "Mon, 17 May 1999 04:36:36 GMT"
}
] | 2016-09-08T00:00:00 | [
[
"Puszkarz",
"Waldemar",
""
]
] |
quant-ph/9710010 | Waldemar Puszkarz | Waldemar Puszkarz | Nonlinear Phase Modification of the Schroedinger Equation | Latex, 21 pages, extended and slightly modified, new references added | null | null | null | quant-ph | null | A nonlinear modification of the Schr\"{o}dinger equation is proposed in which
the Lagrangian density for the Schr\"{o}dinger equation is extended by terms
polynomial in $\Delta^{m}\ln (\Psi^{*}/{\Psi})$ multiplied by $\Psi^{*}{\Psi}$.
This introduces a homogeneous nonlinearity in a Galilean invariant manner
through the phase $S$ rather than the amplitude $R$ of the wave function $\Psi
=R\exp (iS)$. From this general scheme we choose the simplest minimal model
defined in some reasonable way. The model in question offers the simplest way
to modify the Bohm formulation of quantum mechanics so as to allow a leading
phase contribution to the quantum potential and a leading quantum contribution
to the probability current removing asymmetries present in Bohm's original
formulation. It preserves most of physically relevant properties of the
Schr\"{o}dinger equation including stationary states of quantum-mechanical
systems. It can be thought of as the simplest model of nonlinear quantum
mechanics of extended objects among other such models that also emerge within
the general scheme proposed. The extensions of this model to $n$ particles and
the question of separability of compound systems are studied. It is noted that
there exists a weakly separable extension in addition to a strongly separable
one. The place of the general modification scheme in a broader spectrum of
nonlinear modifications of the Schr\"{o}dinger equation is discussed. It is
pointed out that the models it gives rise to have a unique definition of energy
in that the field-theoretical energy functional coincides with the
quantum-mechanical one. It is found that the Lagrangian for its simplest
variant represents the Lagrangian for a restricted version of the
Doebner-Goldin modification of this equation.
| [
{
"version": "v1",
"created": "Thu, 2 Oct 1997 03:11:39 GMT"
},
{
"version": "v2",
"created": "Wed, 8 Oct 1997 20:42:36 GMT"
},
{
"version": "v3",
"created": "Tue, 3 Feb 1998 01:20:29 GMT"
},
{
"version": "v4",
"created": "Wed, 3 Mar 1999 04:01:00 GMT"
},
{
"version": "v5",
"created": "Fri, 12 Mar 1999 11:13:22 GMT"
},
{
"version": "v6",
"created": "Mon, 17 May 1999 03:36:38 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Puszkarz",
"Waldemar",
""
]
] |
quant-ph/9710011 | Waldemar Puszkarz | Waldemar Puszkarz | Is an Electromagnetic Extension of the Schroedinger Equation Possible? | Latex, 5 pages, the list of references updated | null | null | null | quant-ph | null | The idea of equivalence of the free electromagnetic phase and
quantum-mechanical one is investigated in an attempt to seek modifications of
Schr\"{o}dinger's equation that could realize it. It is assumed that physically
valid realizations are compatibile with the U(1)-gauge and Galilean invariance.
It is shown that such extensions of the Schr\"{o}dinger equation do not exist,
which also means that despite their apparent similarity the quantum-mechanical
phase is essentially different from the electromagnetic one.
| [
{
"version": "v1",
"created": "Thu, 2 Oct 1997 03:12:56 GMT"
},
{
"version": "v2",
"created": "Wed, 8 Oct 1997 20:27:28 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Puszkarz",
"Waldemar",
""
]
] |
quant-ph/9710012 | V. P. Karasev | Valery P. Karassiov (P.N. Lebedev Physical Institute, Moscow) | A Nonlinear $sl(2)$ Dynamics and New Quasiclassical Solutions for a
Class of Quantum Coupled Systems | 19 pages, LATEX | null | null | LPI-97-10a | quant-ph | null | Hamiltonians of a wide-spread class of strongly coupled quantum system models
are expressed as nonlinear functions of $sl(2)$ generators. It enables us to
use the $sl(2)$ formalism, in particular, $sl(2)$ generalized coherent states
(GCS) for solving both spectral and evolution tasks. In such a manner, using
standard variational schemes with $sl(2)$ GCS as trial functions we find new
analytical expressions for energy spectra and non-linear evolution equations
for cluster dynamics variables in mean-field approximations which are beyond
quasi-harmonic ones obtained earlier. General results are illustrated on
certain concrete models of quantum optics and laser physics.
| [
{
"version": "v1",
"created": "Thu, 2 Oct 1997 14:57:12 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Karassiov",
"Valery P.",
"",
"P.N. Lebedev Physical Institute, Moscow"
]
] |
quant-ph/9710013 | S. Popescu | D. Boschi, S. Branca, F. De Martini, L. Hardy, S. Popescu | Experimental Realization of Teleporting an Unknown Pure Quantum State
via Dual Classical and Einstein-Podolski-Rosen Channels | 11 pages LaTeX, 3 figures, 1 page figures captions. The figures and
figures captions are not encapsulated; please print them separately | Phys.Rev.Lett. 80 (1998) 1121-1125 | 10.1103/PhysRevLett.80.1121 | null | quant-ph | null | We report on a quantum optical experimental implementation of teleportation
of unknown pure quantum states. This realizes all the nonlocal aspects of the
original scheme proposed by Bennett et al. and is equivalent to it up to a
local operation. We exhibit results for the teleportation of a linearly
polarized state and of an elliptically polarized state. We show that the
experimental results cannot be explained in terms of a classical channel alone.
| [
{
"version": "v1",
"created": "Thu, 2 Oct 1997 20:18:35 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Boschi",
"D.",
""
],
[
"Branca",
"S.",
""
],
[
"De Martini",
"F.",
""
],
[
"Hardy",
"L.",
""
],
[
"Popescu",
"S.",
""
]
] |
quant-ph/9710014 | Guo Guangcan | Lu-Ming Duan and Guang-Can Guo (University of Science and Technology
of China) | Reply to the comment "quant-ph/9710002" | 2 pages, Latex | null | null | null | quant-ph | null | In the comment, Zanardi and Rasetti argue that several claims in our recent
letter (Phys. Rev. Lett. 79, 1953, 1997) are questionable. The reply shows
these claims remain true.
| [
{
"version": "v1",
"created": "Fri, 3 Oct 1997 08:30:16 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Duan",
"Lu-Ming",
"",
"University of Science and Technology\n of China"
],
[
"Guo",
"Guang-Can",
"",
"University of Science and Technology\n of China"
]
] |
quant-ph/9710015 | Piotr Garbaczewski | P. Garbaczewski, G. Kondrat and R. Olkiewicz | Schroedinger's Interpolating Dynamics and Burgers' Flows | Latex file, to appear in "Chaos, Solitons and Fractals" | Chaos Solitons Fractals 9 (1998) 29-41 | 10.1016/S0960-0779(97)00046-5 | null | quant-ph chao-dyn nlin.CD | null | We discuss a connection (and a proper place in this framework) of the
unforced and deterministically forced Burgers equation for local velocity
fields of certain flows, with probabilistic solutions of the so-called
Schr\"{o}dinger interpolation problem. The latter allows to reconstruct the
microscopic dynamics of the system from the available probability density data,
or the input-output statistics in the phenomenological situations. An issue of
deducing the most likely dynamics (and matter transport) scenario from the
given initial and terminal probability density data, appropriate e.g. for
studying chaos in terms of densities, is here exemplified in conjunction with
Born's statistical interpretation postulate in quantum theory, that yields
stochastic processes which are compatible with the Schr\"{o}dinger picture free
quantum evolution.
| [
{
"version": "v1",
"created": "Fri, 3 Oct 1997 11:44:41 GMT"
}
] | 2015-06-26T00:00:00 | [
[
"Garbaczewski",
"P.",
""
],
[
"Kondrat",
"G.",
""
],
[
"Olkiewicz",
"R.",
""
]
] |
quant-ph/9710016 | null | M. Daoud, Y. Hassouni and M. Kibler | The k-fermions as objects interpolating between fermions and bosons | 15 pages, Latex file. Work presented both to the Symposium
`Symmetries in Science X' (Bregenz, Austria, 13-18 July 1997) and to the
`VIII International Conference on Symmetry Methods in Physics' (Dubna,
Russia, 28 July - 2 August 1997) | null | null | null | quant-ph hep-th math-ph math.MP math.QA q-alg | null | Operators, refered to as k-fermion operators, that interpolate between boson
and fermion operators are introduced through the consideration of two
noncommuting quon algebras. The deformation parameters for these quon algebras
are roots of unity connected to an integer k. The case k=2 corresponds to
fermions and the limiting case k going to infinity to bosons. Generalized
coherent states and supercoherent states are investigated. The Dirac quantum
phase operator and the Fairlie-Fletcher-Zachos algebra are also considered.
| [
{
"version": "v1",
"created": "Fri, 3 Oct 1997 13:53:07 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Daoud",
"M.",
""
],
[
"Hassouni",
"Y.",
""
],
[
"Kibler",
"M.",
""
]
] |
quant-ph/9710017 | John Sidles | John A. Sidles (University of Washington School of Medicine) | Zero-Temperature Casimir Fluctuations and the Limits of Force Microscope
Sensitivity | Revised as submitted to PRL: (a) the predicted fluctuations are 8%
larger, due to the correction of a minor algebraic error, (b) additional
physical motivation is provided at each step of the calculation, (c) the
figure is nicer. RevTeX, four pages, one embedded figure, uses epsf.sty | null | null | null | quant-ph cond-mat.mes-hall physics.ins-det | null | It is predicted that in force microscopy the quantum fluctuations responsible
for the Casimir force can be directly observed as temperature-independent force
fluctuations having spectral density $9\pi/(40\ln(4/e)) \hbar \delta k$, where
$\hbar$ is Planck's constant and $\delta k$ is the observed change in spring
constant as the microscope tip approaches a sample. For typical operating
parameters the predicted force noise is of order $10^{-18}$ Newton in one Hertz
of bandwidth. The Second Law is respected via the fluctuation-dissipation
theorem. For small tip-sample separations the cantilever damping is predicted
to increase as temperature is reduced, a behavior that is reminiscent of the
Kondo effect.
| [
{
"version": "v1",
"created": "Fri, 3 Oct 1997 20:54:18 GMT"
},
{
"version": "v2",
"created": "Sun, 5 Oct 1997 16:54:50 GMT"
},
{
"version": "v3",
"created": "Sat, 18 Oct 1997 19:43:44 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Sidles",
"John A.",
"",
"University of Washington School of Medicine"
]
] |
quant-ph/9710018 | Enriqueta Hernandez Sadaa | A. Mondragon and E. Hernandez (Instituto de Fisica, UNAM, Mexico) | Accidental Degeneracy and Berry Phase of Resonant States | 23 pages, 2 Postscript figures, LaTex, to be published in: Group 21:
Symposium on Semigroups and Quantum Irreversibility (Proc. of the XXI Int.
Colloquium on Group Theoretical Methods in Physics) | null | 10.1007/BFb0106786 | IFUNAM FT97-6 | quant-ph hep-th nucl-th | null | We study the complex geometric phase acquired by the resonant states of an
open quantum system which evolves irreversibly in a slowly time dependent
environment. In analogy with the case of bound states, the Berry phase factors
of resonant states are holonomy group elements of a complex line bundle with
structure group C*. In sharp contrast with bound states, accidental
degeneracies of resonances produce a continuous closed line of singularities
formally equivalent to a continuous distribution of "magnetic" charge on a
"diabolical" circle, in consequence, we find different classes of topologically
inequivalent non-trivial closed paths in parameter space.
| [
{
"version": "v1",
"created": "Sat, 4 Oct 1997 01:50:22 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Mondragon",
"A.",
"",
"Instituto de Fisica, UNAM, Mexico"
],
[
"Hernandez",
"E.",
"",
"Instituto de Fisica, UNAM, Mexico"
]
] |
quant-ph/9710019 | Dr P. K. Panigrahi | N. Gurappa and Prasanta. K. Panigrahi | Mapping of the $B_N$-type Calogero-Sutherland-Moser system to decoupled
Harmonic Oscillators | 8 pages, REVTeX, Completely revised, few new equations and references
are added | null | null | null | quant-ph cond-mat hep-th | null | The $B_N$-type Calogero-Sutherland-Moser system in one-dimension is shown to
be equivalent to a set of decoupled oscillators by a similarity transformation.
This result is used to show the connection of the $A_N$ and $B_N$ type models
and explain the degeneracy structure of the later. We identify the commuting
constants of motion and the generators of a linear $W_\infty$ algebra
associated with the $B_N$ system.
| [
{
"version": "v1",
"created": "Sat, 4 Oct 1997 04:57:17 GMT"
},
{
"version": "v2",
"created": "Wed, 10 Dec 1997 06:46:00 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Gurappa",
"N.",
""
],
[
"Panigrahi",
"Prasanta. K.",
""
]
] |
quant-ph/9710020 | H. S. Sharatchandra | H.S. Sharatchandra | Phase of the quantum oscillator | 10 pages. Revtex | null | null | IMSc- 97/28 | quant-ph | null | Requirements of a conjugate operator are emphasized, especially in its role
in uncertainty relations.It is argued that in many contexts it is necessary to
extend the Hilbert space in order to define a conjugate operator as in gauge
theories. Example of a particle in a box is analysed. This is closely related
to the quantum oscillator through cosine states of Susskind and Glogower.It is
used to justify London's phase wave functions albeit as part of a larger
Hilbert space. A new definition phase uncertainty neccessiated by periodicity
is proposed.It is close to the usual r.m.s. definition.Corresponding number-
phase uncertainty relation is obtained and its implications are discussed.
Hilbert space of an oscillator is identified with the Hilbert space of a planar
rotor with a $Z_2$ gauge invariance.This is used to construct states analogous
to the cosine and sine states and to illustrate unitary equivalence of Hilbert
spaces.
| [
{
"version": "v1",
"created": "Mon, 6 Oct 1997 13:41:14 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Sharatchandra",
"H. S.",
""
]
] |
quant-ph/9710021 | Todd A. Brun | Todd A. Brun (Carnegie Mellon University) | Continuous measurements, quantum trajectories, and decoherent histories | 31 pages RevTeX 3.1 + 2 figures (postscript). Extensive revisions,
with new material. Submitted to Phys. Rev. A | Phys.Rev. A61 (2000) 042107 | 10.1103/PhysRevA.61.042107 | NSF-ITP-97-116 | quant-ph | null | Quantum open systems are described in the Markovian limit by master equations
in Lindblad form. I argue that common ``quantum trajectory'' techniques
corresponding to continuous measurement schemes, which solve the master
equation by unraveling its evolution into stochastic trajectories in Hilbert
space, correspond closely to particular sets of decoherent (or consistent)
histories. This is illustrated by a simple model of photon counting. An
equivalence is shown for these models between standard quantum jumps and the
orthogonal jumps of Di\'osi, which have already been shown to correspond to
decoherent histories. This correspondence is compared to simple treatments of
trajectories based on repeated or continuous measurements.
| [
{
"version": "v1",
"created": "Tue, 7 Oct 1997 00:16:21 GMT"
},
{
"version": "v2",
"created": "Tue, 27 Jul 1999 17:21:09 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Brun",
"Todd A.",
"",
"Carnegie Mellon University"
]
] |
quant-ph/9710022 | null | G.Vilasi | Liouville Integrability of the Schroedinger Equation | 13 pages, Latex, no figures | null | null | DSF-96-61 | quant-ph | null | Canonical coordinates for both the Schroedinger and the nonlinear
Schroedinger equations are introduced, making more transparent their
Hamiltonian structures. It is shown that the Schroedinger equation, considered
as a classical field theory, shares with the nonlinear Schroedinger, and more
generally with Liouville completely integrable field theories, the existence of
a "recursion operator" which allows for the construction of infinitely many
conserved functionals pairwise commuting with respect to the corresponding
Poisson bracket. The approach may provide a good starting point to get a clear
interpretation of Quantum Mechanics in the general setting, provided by
Stone-von Neumann theorem, of Symplectic Mechanics. It may give new tools to
solve in the general case the inverse problem of Quantum Mechanics.
| [
{
"version": "v1",
"created": "Tue, 7 Oct 1997 06:49:36 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Vilasi",
"G.",
""
]
] |
quant-ph/9710023 | Masanao Ozawa | Masanao Ozawa (Nagoya University) | The Problem of Measurement and the Theory of Quantum State Reduction | 6 pages, LaTeX, no figures, invited talk at 5th International
Conference on Squeezed States and Uncertainty Relations (May 1997,
Balatonfured). Title is corrected | Fifth International Conference on Squeezed States and Uncertainty
Relations, edited by D. Han, J. Jansky, Y. S. Kim and V. I. Man'ko (NASA,
Goddard, 1998) 517 | null | null | quant-ph | null | A new approach to the problem of measurement in quantum mechanics is
proposed. In this approach, the process of measurement is described in the
Heisenberg picture and divided into two stages. The first stage is to transduce
the measured observable to the probe observable. The second stage is to amplify
the probe observable to the macroscopic meter observable. Quantum state
reduction is derived, based on the quantum Bayes principle, from the
object-apparatus interaction in the first stage. The dynamical process of the
second stage is described as a quantum amplification with infinite gain based
on nonstandard analysis.
| [
{
"version": "v1",
"created": "Tue, 7 Oct 1997 12:54:42 GMT"
},
{
"version": "v2",
"created": "Thu, 6 Nov 1997 12:33:44 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Ozawa",
"Masanao",
"",
"Nagoya University"
]
] |
quant-ph/9710024 | Stefan Weigert | Stefan Weigert (Universitaet Basel, Switzerland) | Baker-Campbell-Hausdorff relation for special unitary groups SU(N) | 14 pages | J.Phys.A30:8739-8749,1997 | 10.1088/0305-4470/30/24/032 | null | quant-ph math-ph math.MP | null | Multiplication of two elements of the special unitary group SU(N) determines
uniquely a third group element. A BAker-Campbell-Hausdorff relation is derived
which expresses the group parameters of the product (written as an exponential)
in terms of the parameters of the exponential factors. This requires the eigen-
values of three (N-by-N) matrices. Consequently, the relation can be stated
analytically up to N=4, in principle. Similarity transformations encoding the
time evolution of quantum mechanical observables, for example, can be worked
out by the same means.
| [
{
"version": "v1",
"created": "Tue, 7 Oct 1997 15:37:56 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Weigert",
"Stefan",
"",
"Universitaet Basel, Switzerland"
]
] |
quant-ph/9710025 | Wayne M. Itano | D.J. Wineland, C. Monroe, W.M. Itano, D. Leibfried, B.E. King, D.M.
Meekhof | Experimental issues in coherent quantum-state manipulation of trapped
atomic ions | Replaced with smaller PDF file. Version accepted for publication. 115
pages text + 13 figures. To be published in Journal of Research of the
National Institute of Standards and Technology. PDF and PostScript available
at http://www.bldrdoc.gov/timefreq/ion/qucomp/papers.htm | J.Res.Natl.Inst.Stand.Tech. 103 (1998) 259 | null | null | quant-ph | null | Methods for, and limitations to, the generation of entangled states of
trapped atomic ions are examined. As much as possible, state manipulations are
described in terms of quantum logic operations since the conditional dynamics
implicit in quantum logic is central to the creation of entanglement. Keeping
with current interest, some experimental issues in the proposal for trapped-ion
quantum computation by I. Cirac and P. Zoller (University of Innsbruck) are
discussed. Several possible decoherence mechanisms are examined and what may be
the more important of these are identified. Some potential applications for
entangled states of trapped-ions which lie outside the immediate realm of
quantum computation are also discussed.
| [
{
"version": "v1",
"created": "Tue, 7 Oct 1997 22:35:33 GMT"
},
{
"version": "v2",
"created": "Fri, 27 Feb 1998 15:40:32 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Wineland",
"D. J.",
""
],
[
"Monroe",
"C.",
""
],
[
"Itano",
"W. M.",
""
],
[
"Leibfried",
"D.",
""
],
[
"King",
"B. E.",
""
],
[
"Meekhof",
"D. M.",
""
]
] |
quant-ph/9710026 | Thorsten Koehler | Gerhard C. Hegerfeldt and Thorsten Koehler | Atomic versus molecular diffraction: Influence of break-ups and finite
size | 15 pages RevTeX + 7 figures | null | 10.1103/PhysRevA.57.2021 | null | quant-ph | null | Atomic diffraction through double slits and transmission gratings is well
described in terms of the associated de Broglie waves and classical wave
optics. However, for weakly bound and relatively large systems, such as the
He_2 dimer, this might no longer hold true due to the possibility of break-up
processes and finite-size effects. We therefore study the diffraction of weakly
bound two-particle systems. If the bar and slit widths of the grating are much
larger than the diameter of the two-particle system we recover the usual optics
results. For smaller widths, however, deviations therefrom occur. We find that
the location of possible diffraction peaks is indeed still governed by the
usual grating function from optics, but the peaks may have a lower intensity.
This is not unexpected when break-up processes are allowed. More unusually
though, diffraction peaks which would be absent for de Broglie waves may
reappear. The results are illustrated for diffraction of He_2.
| [
{
"version": "v1",
"created": "Wed, 8 Oct 1997 12:03:11 GMT"
}
] | 2009-10-30T00:00:00 | [
[
"Hegerfeldt",
"Gerhard C.",
""
],
[
"Koehler",
"Thorsten",
""
]
] |
quant-ph/9710027 | Gerhard Hegerfeldt | Gerhard C. Hegerfeldt | Ensemble versus individual system in quantum optics | Fundamental problems in quantum theory workshop, invited lecture. 11
pages Latex + 7 figures. To appear in Fortschr. d. Physik | null | 10.1002/(SICI)1521-3978(199811)46:6/8<595::AID-PROP595>3.0.CO;2-M | null | quant-ph | null | Modern techniques allow experiments on a single atom or system, with new
phenomena and new challenges for the theoretician. We discuss what quantum
mechanics has to say about a single system. The quantum jump approach as well
as the role of quantum trajectories are outlined and a rather sophisticated
example is given.
| [
{
"version": "v1",
"created": "Wed, 8 Oct 1997 09:47:59 GMT"
}
] | 2015-06-26T00:00:00 | [
[
"Hegerfeldt",
"Gerhard C.",
""
]
] |
quant-ph/9710028 | null | D. Cocolicchio and M. Viggiano | The Spectral Theory of Perturbative Decays | 13 pages, TeX file | Int.J.Theor.Phys. 37 (1998) 2079-2089 | null | Univ. Basilicata, preprint UNIBAS-TH 3/97 | quant-ph | null | In this paper, we propose a complex approach to evaluate a function sum of
two noncommuting non Hermitian operators. Then, it is proposed an explicit
expansion of the evolution operator in the case of the neutral K-meson system
under the influence of an external interaction. Then, the importance of the
procedure is pointed out to consider the algebraic expansion of the time
evolution operator whenever the dynamics decouples the internal transitions and
the center of mass motion.
| [
{
"version": "v1",
"created": "Wed, 8 Oct 1997 15:08:37 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Cocolicchio",
"D.",
""
],
[
"Viggiano",
"M.",
""
]
] |
quant-ph/9710029 | John Klauder | John R. Klauder | Coherent States in Action | 11 pages, LaTeX, no figures | null | null | null | quant-ph | null | Quantum mechanical phase space path integrals are re-examined with regard to
the physical interpretation of the phase space variables involved. It is
demonstrated that the traditional phase space path integral implies a meaning
for the variables involved that is manifestly inconsistent. On the other hand,
a phase space path integral based on coherent states entails variables that
exhibit a self-consistent physical meaning.
| [
{
"version": "v1",
"created": "Wed, 8 Oct 1997 14:25:52 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Klauder",
"John R.",
""
]
] |
quant-ph/9710030 | Pavel Exner | Pavel Exner and Petr Seba | Probability current tornado loops in three-dimensional scattering | A RevTeX file, 4 pages, with 3 ps figures | Phys.Lett. A245 (1998) 35-39 | 10.1016/S0375-9601(98)00366-1 | null | quant-ph cond-mat | null | We consider scattering of a three-dimensional particle on a finite family of
delta potentials. For some parameter values the scattering wavenctions exhibit
nodal lines in the form of closed loops, which may touch but do not entangle.
The corresponding probability current forms vortical singularities around these
lines; if the scattered particle is charged, this gives rise to magnetic flux
loops. The conclusions extend to scattering on hard obstacles or smooth
potentials.
| [
{
"version": "v1",
"created": "Thu, 9 Oct 1997 13:17:38 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Exner",
"Pavel",
""
],
[
"Seba",
"Petr",
""
]
] |
quant-ph/9710031 | Farrokh Vatan | Vwani P. Roychowdhury and Farrokh Vatan | On the Structure of Additive Quantum Codes and the Existence of
Nonadditive Codes | 21 pages | null | null | null | quant-ph | null | We first present a useful characterization of additive (stabilizer) quantum
error-correcting codes. Then we present several examples of We first present a
useful characterization of additive (stabilizer) quantum error--correcting
codes. Then we present several examples of nonadditive codes. We show that
there exist infinitely many non-trivial nonadditive codes with different
minimum distances, and high rates. In fact, we show that nonadditive codes that
correct t errors can reach the asymptotic rate R=1-2H(2t/n), where H(x) is the
binary entropy function. Finally, we introduce the notion of strongly
nonadditive codes (i.e., quantum codes with the following property: the trivial
code consisting of the entire Hilbert space is the only additive code that is
equivalent to any code containing the given code), and provide a construction
for an ((11,2,3)) strongly nonadditive code.
| [
{
"version": "v1",
"created": "Thu, 9 Oct 1997 21:46:39 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Roychowdhury",
"Vwani P.",
""
],
[
"Vatan",
"Farrokh",
""
]
] |
quant-ph/9710032 | Bill Unruh | W. G. Unruh (UBC) | Is Quantum Mechaincs Non-Local? | 10pp - This is a revision of the previous paper with the argument and
notation having, I hope, been made clearer | null | null | null | quant-ph | null | Stapp has recently argued from a version of the Hardy type experiments that
quantum mechanics must be non-local, independent of any additional assumptions
like realism or hidden variables. I argue that either his conclusions do not
follow from his assumptions, or that his assumptions are not true of quantum
mechanics and can be interpreted as assigning an unwarranted level of reality
to the value of certain quantum attributes.
| [
{
"version": "v1",
"created": "Fri, 10 Oct 1997 18:28:05 GMT"
},
{
"version": "v2",
"created": "Mon, 27 Apr 1998 19:42:16 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Unruh",
"W. G.",
"",
"UBC"
]
] |
quant-ph/9710033 | Wolfgang Luecke | W. Luecke | Gisin Nonlocality of the Doebner-Goldin 2-Particle Equation | 7 pages, LaTeX, minor corrections and additions | null | null | ASI-TPA/14/97 | quant-ph | null | Gisin's argument against deterministic nonlinear Schroedinger equations is
shown to be valid for every (formally) nonlinearizable case of the general
Doebner-Goldin 2-particle equation in the following form:
The time-dependence of the position probability distribution of a particle
`behind the moon' may be instantaneously changed by an arbitrarily small
instantaneous change of the potential `inside the laboratory'.
| [
{
"version": "v1",
"created": "Mon, 13 Oct 1997 07:41:00 GMT"
},
{
"version": "v2",
"created": "Tue, 2 Dec 1997 10:32:05 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Luecke",
"W.",
""
]
] |
quant-ph/9710034 | Giovanna Morigi | G. Morigi, J.I. Cirac, K. Ellinger and P. Zoller | Laser cooling of single trapped atoms to the ground state: a dark state
in position space | 6 pages, 5 figures | Phys.Rev.A57:2909-2914,1998 | 10.1103/PhysRevA.57.2909 | null | quant-ph | null | We propose a scheme that allows to laser cool trapped atoms to the ground
state of a one-dimensional confining potential. The scheme is based on the
creation of a dark state by designing the laser profile, so that the hottest
atoms are coherently pumped to another internal level, and then repumped back.
The scheme works beyond the Lamb-Dicke limit. We present results of a full
quantum treatment for a one-dimensional model.
| [
{
"version": "v1",
"created": "Mon, 13 Oct 1997 11:31:35 GMT"
}
] | 2014-11-18T00:00:00 | [
[
"Morigi",
"G.",
""
],
[
"Cirac",
"J. I.",
""
],
[
"Ellinger",
"K.",
""
],
[
"Zoller",
"P.",
""
]
] |
quant-ph/9710035 | Philip Maymin | Philip Maymin (Long-Term Capital Management) | Programming Complex Systems | 8 pages, LaTeX2e. This paper combines and enhances quant-ph/9612052
and quant-ph/9702057 with an eye towards complex systems. This paper was
presented at the International Conference on Complex Systems | null | null | null | quant-ph | null | Classical programming languages cannot model essential elements of complex
systems such as true random number generation. This paper develops a formal
programming language called the lambda-q calculus that addresses the
fundamental properties of complex systems. This formal language allows the
expression of quantumized algorithms, which are extensions of randomized
algorithms in that probabilities can be negative, and events can cancel out. An
illustration of the power of quantumized algorithms is the ability to
efficiently solve the satisfiability problem, something that many believe is
beyond the capability of classical computers. This paper proves that the
lambda-q calculus is not only capable of solving satisfiability but can also
simulate such complex systems as quantum computers. Since satisfiability is
believed to be beyond the capabilities of quantum computers, the lambda-q
calculus may be strictly stronger.
| [
{
"version": "v1",
"created": "Wed, 15 Oct 1997 00:09:38 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Maymin",
"Philip",
"",
"Long-Term Capital Management"
]
] |
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