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Thermodynamic random processes in thermal systems are generally associated with one or several relaxation times, the inverse of which are formally homogeneous with energy. Here, we show in a precise way that the periodic modification of…

综合物理 · 物理学 2007-05-23 François Barriquand

Focusing on isolated macroscopic systems, described either in terms of a quantum mechanical or a classical model, our two key questions are: In how far does an initial ensemble (usually far from equilibrium and largely unknown in detail)…

统计力学 · 物理学 2013-11-13 Peter Reimann , Mykhaylo Evstigneev

We discuss how the thermalization of an elementary quantum system is modified when the system is placed in an environment out of thermal equilibrium. To this aim we provide a detailed investigation of the dynamics of an atomic system placed…

量子物理 · 物理学 2013-01-16 Bruno Bellomo , Riccardo Messina , Didier Felbacq , Mauro Antezza

In this review the problem of statistical description of isolated quantum systems of interacting particles is discussed. Main attention is paid to a recently developed approach which is based on chaotic properties of compound states in the…

统计力学 · 物理学 2007-05-23 F. M. Izrailev

The nonequilibrium thermodynamics of interacting quantum many-body systems is investigated within the framework of thermal time-dependent density functional theory using a generalized linear-response formulation for the full quantum work…

量子物理 · 物理学 2025-12-23 Antonio Palamara , Francesco Plastina , Antonello Sindona , Irene D'Amico

We propose a method to study the transition to chaos in isolated quantum systems of interacting particles. It is based on the concept of delocalization of eigenstates in the energy shell, controlled by the Gaussian form of the strength…

量子物理 · 物理学 2012-05-15 L. F. Santos , F. Borgonovi , F. M. Izrailev

We numerically study a Bose-Hubbard ring of finite size with disorder containing a finite number of bosons that are subject to an on-site two-body interaction. Our results show that moderate interactions induce dynamical thermalization in…

量子气体 · 物理学 2016-01-27 Peter Schlagheck , Dima L. Shepelyansky

Significant attention has been devoted to the problem of thermalization of observables in isolated quantum setups by individual eigenstates. Here, we address this issue from an open quantum system perspective, examining an isolated setup…

量子物理 · 物理学 2025-01-15 Krzysztof Ptaszynski , Massimiliano Esposito

Typicality of the orthogonal dynamics (TOD) is established as a generic feature of temporal relaxation processes in isolated many-body quantum systems. The basic idea in the simplest case is that the transient non-equilibrium behavior is…

统计力学 · 物理学 2020-03-09 Peter Reimann , Ben N. Balz , Jonas Richter , Robin Steinigeweg

We extend the results of two of our papers [Phys. Rev. A 94, 041603R (2016) and Phys. Rev. B 97, 060303R (2018)] that touch upon the intimately connected topics of quantum chaos and thermalization. In the first, we argued that when the…

统计力学 · 物理学 2019-03-27 E. Jonathan Torres-Herrera , Lea F. Santos

Time-translation symmetry breaking is a mechanism for the emergence of non-stationary many-body phases, so-called time-crystals, in Markovian open quantum systems. Dynamical aspects of time-crystals have been extensively explored over the…

量子物理 · 物理学 2024-05-08 Federico Carollo , Igor Lesanovsky , Mauro Antezza , Gabriele De Chiara

We simulate dynamics of many-particle systems of bosons and fermions using discrete time quantum walks on lattices. We present a computational proof of a behavior of the simulated systems similar to the one observed in Hamiltonian dynamics…

量子物理 · 物理学 2017-04-03 Dibwe Pierrot Musumbu , Maria Przybylska , Andrzej J. Maciejewski

We explore the origin of the arrow of time in an isolated quantum system described by the Schroedinger equation. We provide an explanation from weak values in the configuration space, which are understood as operational properties obtained…

量子物理 · 物理学 2023-01-19 Carlos F. Destefani , Xavier Oriols

Thermalization of isolated quantum systems is an intriguing phenomenon at the forefront of contemporary physics. In this work, we demonstrate that nonlinear multimode optical platforms can be harnessed to induce effective quantum…

Experiments with trapped atomic gases have opened novel possibilities for studying the evolution of nonequilibrium finite quantum systems, which revived the necessity of reconsidering and developing the theory of such processes. This review…

统计力学 · 物理学 2012-01-16 V. I. Yukalov

Starting from a microscopic description of weak system-bath interactions, we derive from first principles a quantum master equation that does not rely on the well-known rotating wave approximation. This includes generic many-body systems,…

量子物理 · 物理学 2026-03-11 Matteo Scandi , Álvaro M. Alhambra

An isolated quantum system is said to thermalize if ${\rm Tr} (A \rho(t)) \to {\rm Tr} (A \rho_{\rm eq})$ for time $t \to \infty$. Here $\rho(t)$ is the time-dependent density matrix of the system, $\rho_{\rm eq}$ is the time-independent…

量子物理 · 物理学 2024-04-22 Hans A. Weidenmüller

We introduce a novel method of quantum emulation of a classical reversible cellular automaton. By applying this method to a chaotic cellular automaton, the obtained quantum many-body system thermalizes while all the energy eigenstates and…

统计力学 · 物理学 2018-07-03 Naoto Shiraishi

We explore the role of the initial state on the onset of thermalization in isolated quantum many-body systems after a quench. The initial state is an eigenstate of an initial Hamiltonian $\hat{H}_I$ and it evolves according to a different…

统计力学 · 物理学 2013-10-16 E. J. Torres-Herrera , Lea F. Santos

Localization marks the breakdown of thermalization in subregions of quantum many-body systems in the presence of sufficiently large disorder. In this paper, we use numerical techniques to study thermalization and localization in a many-body…

统计力学 · 物理学 2023-03-07 Spasen Chaykov , Brenden Bowen , Nishant Agarwal