text: 422,178,1509083448690065414,957689165902118912,Alexandre Dauphin,"Fresh from the arXivs: <LINK> We study the fate of the topological Mott Insulator in a cold-atom setup with dressed-Rydberg interactions. We derive the phase diagram in the presence of long-range interactions and study its stability with respect to temperature. <LINK> We also verify with DMRG calculations that the quantum anomalous Hall phase also appears on quasi 2D ladders. Finally,we discuss realistic experimental parameters where the phase could be observed. It has been a nice collaboration with @lorenzocarda , S. Juliá-Farré and M. Müller",https://arxiv.org/abs/2203.14818,"The interplay between many-body interactions and the kinetic energy gives rise to rich phase diagrams hosting, among others, interaction-induced topological phases. These phases are characterized by both a local order parameter and a global topological invariant, and can exhibit exotic ground states such as self-trapped polarons and interaction-induced edge states. In this work, we investigate a realistic scenario for the quantum simulation of such systems using cold Rydberg-dressed atoms in optical lattices. We consider spinless fermions on a checkerboard lattice, interacting via the tunable-range effective potential induced by the Rydberg dressing. We perform a detailed analysis of the phase diagram at half- and incommensurate fillings, in the mean-field approximation. We furthermore study the stability of the phases with respect to temperature within the mean-field approximation and with respect to quantum fluctuations using the density matrix renormalization group method. Finally, we propose an implementation protocol, and in particular identify attainable regimes of experimental parameters in which the topological properties of the model become accessible. Our work, thereby, opens a realistic pathway to the outstanding experimental observation of this predicted phase in state-of-the-art cold atom quantum simulators. ","Accessing the topological Mott insulator in cold atom quantum simulators