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The usual paradigm of open quantum systems falls short when the environment is actually coupled to additional fields or components that drive it out of equilibrium. Here we explore the simplest such scenario, by considering a two level…

Quantum Physics · Physics 2020-09-08 Andreu Anglés-Castillo , Mari Carmen Bañuls , Armando Pérez , Inés De Vega

This work investigates the relationship between quantum chaos and thermalization in a three-species Bose-Josephson Junction (BJJ) with mutual interactions, without coupling to any external environment. The analysis is grounded in the…

Statistical Mechanics · Physics 2026-04-21 Francesco Di Menna , Sergio Ciuchi , Simone Paganelli

Two identical finite quantum systems prepared initially at different temperatures, isolated from the environment, and subsequently brought into contact are demonstrated to relax towards Gibbs-like quasi-equilibrium states with a common…

Statistical Mechanics · Physics 2011-01-10 Alexey V. Ponomarev , Sergey Denisov , Peter Hänggi

We study thermalization in many-body quantum systems locally coupled to an external bath. It is shown that quantum chaotic systems do thermalize, that is, they exhibit relaxation to an invariant ergodic state which, in the bulk, is well…

Quantum Physics · Physics 2010-05-31 Marko Znidaric , Tomaz Prosen , Giuliano Benenti , Giulio Casati , Davide Rossini

This chapter discusses the conditions and timescales under which isolated many-body quantum systems, initially far from equilibrium, ultimately reach thermal equilibrium. We also examine quantities that, during the relaxation process,…

Statistical Mechanics · Physics 2025-04-16 Isaías Vallejo-Fabila , Lea F. Santos

Thermalization of isolated quantum systems has been studied intensively in recent years and significant progresses have been achieved. Here, we study thermalization of small quantum systems that interact with large chaotic environments…

Statistical Mechanics · Physics 2019-06-05 Jiaozi Wang , Wen-ge Wang , Jiao Wang

We study the thermalization of an elementary quantum system modeled by a two-level atom interacting with stationary electromagnetic fields out of thermal equilibrium near a dielectric slab. The slab is held at a temperature different from…

Quantum Physics · Physics 2016-01-20 Puxun Wu , Hongwei Yu

We demonstrate that virtual excitations of higher radial modes in an atomic Bose gas in a tightly confining waveguide result in effective three-body collisions that violate integrability in this quasi-one-dimensional quantum system and give…

Other Condensed Matter · Physics 2008-06-14 I. E. Mazets , T. Schumm , J. Schmiedmayer

We study the non-equiliribium dynamics of atom-molecule Bose gases in a double-well potential. In this system, the internal atom-molecule tunneling has significant influence on the dynamics. We investigate the periodicity of dynamics by…

Quantum Gases · Physics 2015-05-28 Atsushi Motohashi

We show that a quantum dynamical localization effect can be observed in a generic thermalization process of two weakly-coupled chaotic subsystems. Specifically, our model consists of the minimal experimentally relevant subsystems that…

Quantum Gases · Physics 2020-04-06 Christine Khripkov , Amichay Vardi , Doron Cohen

We investigate thermalization and the quantum-classical correspondence in the collective Bose-Hubbard model, focusing on the four-site case. Our analysis of the classical phase-space structure and its excited-state quantum phase transitions…

Quantum Physics · Physics 2026-04-24 Ángel L. Corps , Sebastián Gómez , Pavel Stránský , Armando Relaño , Pavel Cejnar

The investigation of thermalization in isolated quantum many-body systems has a long history, dating back to the time of developing statistical mechanics. Most quantum many-body systems in nature are considered to thermalize, while some…

Statistical Mechanics · Physics 2021-08-25 Naoto Shiraishi , Keiji Matsumoto

Thermalization of an isolated quantum system has been a nontrivial problem since the early days of quantum mechanics. In generic isolated quantum systems, nonequilibrium dynamics is expected to result in thermalization, indicating the…

Quantum Physics · Physics 2024-04-22 Tanmay Saha , Pratik Ghosal , Pratapaditya Bej , Abhishek Banerjee , Prasenjit Deb

In this work, we show how Gibbs or thermal states appear dynamically in closed quantum many-body systems, building on the program of dynamical typicality. We introduce a novel perturbation theorem for physically relevant weak system-bath…

Quantum Physics · Physics 2012-03-13 Arnau Riera , Christian Gogolin , Jens Eisert

The long time accumulation of the \textit{random} actions of a single particle "reservoir" on its coupled system can transfer some temperature information of its initial state to the coupled system. This dynamic process can be referred to…

Quantum Physics · Physics 2013-05-29 Jie-Qiao Liao , H. Dong , C. P. Sun

We study the complex quantum dynamics of a system of many interacting atoms in an elongated anharmonic trap. The system is initially in a Bose-Einstein condensed state, well described by Thomas-Fermi profile in the elongated direction and…

When a non-integrable system evolves out of equilibrium for a long time, local observables are expected to attain stationary expectation values, independent of the details of the initial state. However, intriguing experimental results with…

Quantum Physics · Physics 2011-05-17 Mari Carmen Bañuls , J. Ignacio Cirac , Matthew B. Hastings

We study the thermalization of a composite quantum system consisting of several subsystems, where only a small one of the subsystem contacts with a heat bath in equilibrium, while the rest of the composite system is contact free. We show…

Quantum Physics · Physics 2014-03-24 Sheng-Wen Li , D. Z. Xu , X. F. Liu , C. P. Sun

A well-isolated system often shows relaxation to a quasi-stationary state before reaching thermal equilibrium. Such a prethermalization has attracted considerable interest recently in association with closely related fundamental problems of…

Quantum Gases · Physics 2015-12-08 Eriko Kaminishi , Takashi Mori , Tatsuhiko N. Ikeda , Masahito Ueda

The approach to thermal equilibrium, or thermalization, in isolated quantum systems is among the most fundamental problems in statistical physics. Recent theoretical studies have revealed that thermalization in isolated quantum systems has…

Statistical Mechanics · Physics 2018-05-23 Takashi Mori , Tatsuhiko N. Ikeda , Eriko Kaminishi , Masahito Ueda