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We study the nonequilibrium steady state (NESS) in a quantum system in contact with two heat baths at different temperatures. We use a time-independent perturbative expansion with respect to the coupling with the two heat baths to obtain…

Statistical Mechanics · Physics 2012-03-20 Ayumu Sugita

The non-equilibrium relaxational properties of a three dimensional Coulomb glass model are investigated by kinetic Monte Carlo simulations. Our results suggest a transition from stationary to non-stationary dynamics at the equilibrium glass…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alejandro B. Kolton , D. R. Grempel , Daniel Dominguez

The assumption that quantum systems relax to a stationary state in the long-time limit underpins statistical physics and much of our intuitive understanding of scientific phenomena. For isolated systems this follows from the eigenstate…

Quantum Physics · Physics 2019-04-16 Berislav Buca , Joseph Tindall , Dieter Jaksch

This thesis is devoted to the study of physical systems embedded within the field of non-equilibrium statistical mechanics. Specifically, the state of the systems of interest constitutes a stochastic process that can be externally driven by…

Statistical Mechanics · Physics 2025-11-13 Antonio Patrón Castro

In these notes I explain how to describe one-dimensional quantum systems that are simultaneously near to, but not exactly at, a critical point, and in a far-from-equilibrium steady state. This description uses a density matrix on scattering…

Statistical Mechanics · Physics 2012-12-06 Benjamin Doyon

An intriguing phenomenon in non-equilibrium quantum thermodynamics is the asymmetry of thermal processes. Relaxation to thermal equilibrium is the most important dissipative process, being a key concept for the design of heat engines and…

Quantum Physics · Physics 2025-04-09 Álvaro Tejero , Rafael Sánchez , Laiachi El Kaoutit , Daniel Manzano , Antonio Lasanta

We study the steady state entanglement and correlations of an open system comprised of two coupled fermions in the equilibrium or nonequilibrium environments and distill the nonequilibrium contribution to the quantum correlations. We show…

Quantum Physics · Physics 2019-12-04 Xuanhua Wang , Jin Wang

Non-equilibrium steady states for chains of oscillators (masses) connected by harmonic and anharmonic springs and interacting with heat baths at different temperatures have been the subject of several studies. In this paper, we show how…

Mathematical Physics · Physics 2018-05-28 Noé Cuneo , Jean-Pierre Eckmann , Martin Hairer , Luc Rey-Bellet

In self-gravitating stars, two dimensional or geophysical flows and in plasmas, long range interactions imply a lack of additivity for the energy; as a consequence, the usual thermodynamic limit is not appropriate. However, by contrast with…

Statistical Mechanics · Physics 2009-11-13 Freddy Bouchet , Julien Barré , Antoine Venaille

We take the perspective of open quantum systems and examine from their nonequilibrium dynamics the conditions when the physical quantities, their relations and the laws of thermodynamics become well defined and viable for quantum many body…

Quantum Physics · Physics 2018-01-30 Jen-Tsung Hsiang , C. H. Chou , Y. Subaşi , B. L. Hu

Open quantum systems are studied from the thermodynamical point of view unifying the principle of maximum informational entropy and the hypothesis of relaxation times hierarchy. The result of the unification is a non-Markovian and local in…

Quantum Physics · Physics 2014-11-24 Vitalii Semin , Francesco Petruccione

We study the dynamics of a qubit system interacting with thermalized bath-ancilla spins via a repeated interaction scheme. Considering generic initial conditions for the system and employing a Heisenberg-type interaction between the system…

Quantum Physics · Physics 2025-01-10 Alessandro Prositto , Madeline Forbes , Dvira Segal

How quantum coherence influences thermodynamic behavior remains an open question in quantum thermodynamics. Here we investigate this relation within the pure dephasing framework, where a central qubit interacts with a finite Ising-like spin…

Quantum Physics · Physics 2026-03-31 Marino P. Lenzarini , Diogo O. Soares-Pinto

Heat exchanges are the essence of Thermodynamics. In order to investigate non-equilibrium effects like quantum coherence and correlations in heat flows we introduce the concept of apparent temperature. Its definition is based on the…

Quantum Physics · Physics 2020-01-10 Camille L. Latune , Ilya Sinayskiy , Franceso Petruccione

We investigate non-equilibrium phase coexistence associated with a first-order phase transition by numerically studying a one-dimensional Hamiltonian-Potts model with fractional spatial derivatives. The fractional derivative is introduced…

Statistical Mechanics · Physics 2026-02-04 Hitomi Endo , Michikazu Kobayashi

This article is an attempt to provide a link between the quantum nonequilibrium dynamics of cold gases and fifty years of progress in the lowdimensional quantum chaos. We identify two atomic systems lying on the interface: two interacting…

Quantum Gases · Physics 2015-05-19 Cavan Stone , Yassine Ait El Aoud , Vladimir A Yurovsky , Maxim Olshanii

We give an introduction to phase transitions in the steady states of systems that evolve stochastically with equilibrium and nonequilibrium dynamics, the latter defined as those that do not possess a time-reversal symmetry. We try as much…

Statistical Mechanics · Physics 2009-11-11 R. A. Blythe

Using Monte Carlo simulations, we determine the phase diagram of a diffusive two-temperature XY model. When the two temperatures are equal the system becomes the equilibrium XY model with the continuous Kosterlitz-Thouless (KT)…

Statistical Mechanics · Physics 2015-05-19 Matthew D. Reichl , Charo I. Del Genio , Kevin E. Bassler

We quantitatively analyze the dynamics of the quantum phase distribution associated with the reduced density matrix of a system, as the system evolves under the influence of its environment with an energy-preserving quantum nondemolition…

Quantum Physics · Physics 2009-11-13 Subhashish Banerjee , Joyee Ghosh , R. Ghosh

We consider a stochastic heat conduction model for solids composed by N interacting atoms. The system is in contact with two heat baths at different temperature $T_\ell$ and $T_r$. The bulk dynamics conserve two quantities: the energy and…

Statistical Mechanics · Physics 2009-11-13 Cedric Bernardin