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Statistical mechanics underlies our understanding of macroscopic quantum systems. It is based on the assumption that out-of-equilibrium systems rapidly approach their equilibrium states, forgetting any information about their microscopic…

We study dynamical quantum phase transitions (DQPTs) in the extended Bose-Hubbard model after a sudden quench of the nearest-neighbor interaction strength. Using the time-dependent density matrix renormalization group, we demonstrate that…

Quantum Gases · Physics 2023-05-03 Sebastian Stumper , Michael Thoss , Junichi Okamoto

Transport phenomena are studied for a binary (AB) alloy on a rigid square lattice with nearest-neighbor attraction between unlike particles, assuming a small concentration $c_v$ of vacancies $V$ being present, to which $A(B)$ particles can…

Statistical Mechanics · Physics 2007-05-23 A. De Virgiliis , K. Binder

Combined effects of interactions and disorder are investigated using a finite temperature quantum Monte Carlo technique for the three-dimensional Hubbard model with random potentials of a finite range. Temperature dependence of the charge…

Strongly Correlated Electrons · Physics 2009-10-31 Y. Otsuka , Y. Hatsugai

It has become increasingly clear that a full understanding of the physics of electrons in disordered systems requires an approach in which both disorder and interactions are taken into account. Work on small numbers of electrons has…

Disordered Systems and Neural Networks · Physics 2007-05-23 Jonathan M Carter , Angus MacKinnon

We study the non-equilibrium steady states in a closed system consisting of interacting particles obeying exclusion principle with quenched hopping rate. Cluster mean field approach is utilized to theoretically analyze the system dynamics…

Statistical Mechanics · Physics 2021-02-03 Bipasha Pal , Arvind Kumar Gupta

We consider an experimentally realizable model of non-interacting but randomly coupled atoms in a two-dimensional optical lattice. By choosing appropriate real or complex-valued random fields and species-dependent energy offsets, this…

Quantum Gases · Physics 2015-08-19 Fernanda Pinheiro , Jonas Larson

The interplay of fluctuations, ergodicity, and disorder in many-body interacting systems has been striking attention for half a century, pivoted on two celebrated phenomena: Anderson localization predicted in disordered media, and…

Statistical Mechanics · Physics 2021-09-16 Yagmur Kati

We briefly review some equilibrium and nonequilibrium properties of systems with long-range interactions. Such systems, which are characterized by a potential that weakly decays at large distances, have striking properties at equilibrium,…

Statistical Mechanics · Physics 2009-11-13 Stefano Ruffo

We present a theoretical study of the exchange interaction in a system of spatially disordered magnetic moments. A typical example of such a system is an impurity semiconductor, whose magnetic properties are associated with the exchange…

Strongly Correlated Electrons · Physics 2025-06-25 N. A. Bogoslovskiy , P. V. Petrov , N. S. Averkiev

We consider the quantum evolution of a pair of interacting atoms in a three dimensional isotropic trap where the interaction strength is quenched from one value to another. Using exact solutions of the static problem we are able to evaluate…

Quantum Gases · Physics 2021-01-19 A. D. Kerin , A. M. Martin

We investigate the nonequilibrium dynamics induced by an interaction quench in the semiclassical Holstein model within the Ehrenfest nonadiabatic framework, which describes an isolated hybrid quantum-classical system with strictly conserved…

Strongly Correlated Electrons · Physics 2026-02-06 Ho Jang , Gia-Wei Chern

We study out-of-equilibrium energy flow in a strongly coupled system by using the AdS/CFT correspondence. In particular, we describe the appearance of a steady state connecting two asymptotic equilibrium systems. We obtain results within…

High Energy Physics - Theory · Physics 2015-10-22 Eugenio Megias

What happens when one of the parameters governing the dynamics of a long-range interacting system of particles in thermal equilibrium is abruptly changed (quenched) to a different value? While a short-range system, under the same…

Statistical Mechanics · Physics 2016-11-23 Shamik Gupta , Lapo Casetti

The problem of noninteracting electrons in the presence of annealed magnetic disorder, in addition to nonmagnetic quenched disorder, is considered. It is shown that the proper physical interpretation of this model is one of electrons…

Statistical Mechanics · Physics 2009-11-07 D. Belitz , T. R. Kirkpatrick

The relaxation and complex magnetic susceptibility treatments of a spin-3/2 Blume-Capel model with quenched random crystal field on a two dimensional square lattice are investigated by a method combining the statistical equilibrium theory…

Statistical Mechanics · Physics 2015-06-11 Erol Vatansever , Hamza Polat

We present a solver for correlated impurity problems out of equilibrium based on a combination of the so-called auxiliary master equation approach (AMEA) and the configuration interaction expansion. Within AMEA one maps the original…

Strongly Correlated Electrons · Physics 2023-02-22 D. Werner , J. Lotze , E. Arrigoni

We investigate the interplay of disorder and interactions in the accelerated transport of a Bose-Einstein condensate through an incommensurate optical lattice. We show that interactions can effectively cancel the damping of Bloch…

Quantum Gases · Physics 2014-06-25 Jeremy Reeves , Bryce Gadway , Tom Bergeman , Ippei Danshita , Dominik Schneble

In striking contrast to equilibrium systems, inertia can profoundly alter the structure of active systems. Here, we demonstrate that driven systems can exhibit effective equilibrium-like states with increasing particle inertia, despite…

Soft Condensed Matter · Physics 2023-02-23 Ahmad K. Omar , Katherine Klymko , Trevor GrandPre , Phillip L. Geissler , John F. Brady

A disordered alloy Ap B1-p where both A and B represent the magnetic atoms with respective spin SA =1/2 and SB =1 and whose magnetic interaction can be described through Ising Hamiltonian is treated using the cluster-variational method. In…

Disordered Systems and Neural Networks · Physics 2007-05-23 Sobhendu K. Ghatak