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Macroscopic thermodynamics, via the weak coupling approximation, assumes that the equi?librium properties of a system are not affected by interactions with its environment. However, this assumption may not hold for quantum systems, where…

Quantum Physics · Physics 2023-05-23 Z. Abuali , F. H. Kamin , R. J. S. Afonso , D. O. Soares-Pinto , S. Salimi

Thermodynamic principles are often deceptively simple and yet surprisingly powerful. We show how a simple rule, such as the net flow of energy in and out of a moving atom under nonequilibrium steady state condition, can expose the…

Quantum Physics · Physics 2020-11-30 Daniel Reiche , Francesco Intravaia , Jen-Tsung Hsiang , Kurt Busch , Bei-Lok Hu

We solve the nonequilibrium dynamics of qubits or quantum spin chains (s=1/2) modeled by an anisotropic XY Hamiltonian, when the initial condition is prepared as a spatially inhomogeneous state of the magnetization. Infinite systems are…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. Tygel , J. G. Carvalho , G. G. Cabrera

The thermodynamics is studied with the thermodynamic parameter of the lifetime, first-passage time, generalizing the equilibrium thermodynamics. Various ways of describing several stationary nonequilibrium states in the system are…

Statistical Mechanics · Physics 2019-10-21 V. V. Ryazanov

Motivated by dynamical experiments on cold atomic gases, we develop a quantum kinetic approach to weakly perturbed integrable models out of equilibrium. Using the exact matrix elements of the underlying integrable model we establish an…

Statistical Mechanics · Physics 2021-09-29 Joseph Durnin , M. J. Bhaseen , Benjamin Doyon

Considering a broad class of steady-state nonequilibrium systems for which some additive quantities are conserved by the dynamics, we introduce from a statistical approach intensive thermodynamic parameters (ITPs) conjugated to the…

Statistical Mechanics · Physics 2007-05-23 Eric Bertin , Kirsten Martens , Olivier Dauchot , Michel Droz

The nature of the behaviour of an isolated many-body quantum system periodically driven in time has been an open question since the beginning of quantum mechanics. After an initial transient, such a system is known to synchronize with the…

Statistical Mechanics · Physics 2014-04-22 Achilleas Lazarides , Arnab Das , Roderich Moessner

Dynamical maps describe general transformations of the state of a physical system, and their iteration can be interpreted as generating a discrete time evolution. Prime examples include classical nonlinear systems undergoing transitions to…

Quantum Physics · Physics 2013-11-19 P. Schindler , M. Müller , D. Nigg , J. T. Barreiro , E. A. Martinez , M. Hennrich , T. Monz , S. Diehl , P. Zoller , R. Blatt

In this Ph.D. thesis dissertation concerns the quantum dynamics of strongly-correlated quantum systems in out-of-equilibrium states. The research is neither restricted to static properties or long-term relaxation evolutions nor does it…

Quantum Gases · Physics 2020-07-30 Fernando J. Gómez-Ruiz

During recent years the interest to dynamics of quantum systems has grown considerably. Quantum many body systems out of equilibrium often manifest behavior, different from the one predicted by standard statistical mechanics and…

Statistical Mechanics · Physics 2017-02-01 A. A. Zvyagin

The claim that there is an inconsistency of quantum-classical dynamics [1] is investigated. We point out that a consistent formulation of quantum and classical dynamics which can be used to describe quantum measurement processes is already…

Quantum Physics · Physics 2007-05-23 E. C. G. Sudarshan

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

The dynamical convergence of a system to the thermal distribution, or Gibbs state, is a standard assumption across all of the physical sciences. The Gibbs state is determined just by temperature and the system's energies alone. But at…

Quantum Physics · Physics 2022-06-27 A. S. Trushechkin , M. Merkli , J. D. Cresser , J. Anders

Controlled quantum systems such as ultracold atoms can provide powerful platforms to study non-equilibrium dynamics of closed many-body quantum systems, especially since a complete theoretical description is generally challenging. In this…

Quantum Gases · Physics 2017-11-15 M. Aidelsburger , J. L. Ville , R. Saint-Jalm , S. Nascimbène , J. Dalibard , J. Beugnon

We apply the framework of non-equilibrium quantum thermodynamics to the physics of quenched small-sized bosonic quantum gases in a one-dimensional harmonic trap. We show that dynamical orthogonality can occur in these few-body systems with…

There is a renewed interest in the derivation of statistical mechanics from the dynamics of closed quantum systems. A central part of this program is to understand how far-from-equilibrium closed quantum system can behave as if relaxing to…

We study the statistical mechanics of classical and quantum systems in non-equilibrium steady states. Emphasis is placed on systems in strong thermal gradients. Various measures and functional forms of observables are presented. The quantum…

Chaotic Dynamics · Physics 2007-05-23 Dimitri Kusnezov , Eric Lutz , Kenichiro Aoki

We show that intensive thermodynamic parameters associated to additive conserved quantities can be naturally defined from a statistical approach in far-from-equilibrium steady-state systems, under few assumptions, and without any detailed…

Statistical Mechanics · Physics 2007-05-23 Eric Bertin , Olivier Dauchot , Michel Droz

Quench dynamics is an active area of study encompassing condensed matter physics and quantum information, with applications to cold-atomic gases and pump-probe spectroscopy of materials. Recent theoretical progress in studying quantum…

Quantum Gases · Physics 2018-05-23 Aditi Mitra

Understanding out-of-equilibrium quantum dynamics is a critical outstanding problem, with key questions regarding characterizing adiabaticity for applications in quantum technologies. We show how the metric-space approach to quantum…

Quantum Physics · Physics 2018-07-11 A. H. Skelt , R. W. Godby , I. D'Amico