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One fundamental assumption in statistical physics is that generic closed quantum many-body systems thermalize under their own dynamics. Recently, the emergence of many-body localized systems has questioned this concept, challenging our…

In their seminal work, Fermi, Pasta, Ulam and Tsingou explored the connection between statistical mechanics and dynamical properties, such as chaos and ergodicity. Even today, seventy years later, the topic is not fully understood: while…

Nonequilibrium dynamics of a nonintegrable system without the eigenstate thermalization hypothesis is studied. It is shown that, in the thermodynamic limit, this model thermalizes after an arbitrary quantum quench at finite temperature,…

统计力学 · 物理学 2017-09-06 Takashi Mori , Naoto Shiraishi

Macroscopic quantum superpositions are widely believed to be unobservable because large systems cannot be perfectly isolated from their environments. Here, we show that even under perfect isolation, intrinsic unitary dynamics with the…

量子物理 · 物理学 2025-12-15 Gabriel Dias Carvalho , Pedro S. Correia , Thiago R. de Oliveira

The thermalization of an isolated quantum system is described by quantum mechanics and thermodynamics, while these two subjects are still not fully consistent with each other. This leaves a less-explored region where both quantum and…

量子气体 · 物理学 2024-11-22 Yuqing Wang , Libo Liang , Qinpei Zheng , Qi Huang , Wenlan Chen , Jing Zhang , Xuzong Chen , Jiazhong Hu

There is a dichotomy in the nonequilibrium dynamics of quantum many body systems. In the presence of integrability, expectation values of local operators equilibrate to values described by a generalized Gibbs ensemble, which retains…

强关联电子 · 物理学 2019-05-15 Neil J. Robinson , Andrew J. A. James , Robert M. Konik

Thermalizing quantum systems are conventionally described by statistical mechanics at equilibrium. However, not all systems fall into this category, with many body localization providing a generic mechanism for thermalization to fail in…

无序系统与神经网络 · 物理学 2019-05-29 Dmitry A. Abanin , Ehud Altman , Immanuel Bloch , Maksym Serbyn

Understanding the rich spatial and temporal structures in nonequilibrium thermal environments is a major subject of statistical mechanics. Because universal laws, based on an ensemble of systems, are mute on an individual system, exploring…

统计力学 · 物理学 2019-04-19 Liyi Zhao , Ping Fang , Chushun Tian

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…

量子物理 · 物理学 2011-05-17 Mari Carmen Bañuls , J. Ignacio Cirac , Matthew B. Hastings

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…

统计力学 · 物理学 2019-06-05 Jiaozi Wang , Wen-ge Wang , Jiao Wang

We present a theory to describe thermalization mechanism for time-periodic finite isolated interacting quantum systems. The long time asymptote of natural observables in Floquet states is directly related to averages of these observables…

统计力学 · 物理学 2014-10-14 Dong E. Liu

Thermalization is a ubiquitous process of statistical physics, in which details of few-body observables are washed out in favor of a featureless steady state. Even in isolated quantum many-body systems, limited to reversible dynamics,…

量子物理 · 物理学 2022-05-19 W. Morong , F. Liu , P. Becker , K. S. Collins , L. Feng , A. Kyprianidis , G. Pagano , T. You , A. V. Gorshkov , C. Monroe

Descriptions of molecular systems usually refer to two distinct theoretical frameworks. On the one hand the quantum pure state, i.e. the wavefunction, of an isolated system which is determined to calculate molecular properties and to…

统计力学 · 物理学 2011-03-17 Barbara Fresch , Giorgio J. Moro

Understanding the evolution towards thermal equilibrium of an isolated quantum system is at the foundation of statistical mechanics and a subject of interest in such diverse areas as cold atom physics or the quantum mechanics of black…

统计力学 · 物理学 2014-03-13 Sergei Khlebnikov , Martin Kruczenski

The eigenstate thermalisation hypothesis resolves the paradox of emergent thermal or classical behaviour in a closed quantum system by focussing upon local observations. This permits the remainder of the system to act as a bath,…

强关联电子 · 物理学 2019-09-11 Andrew Hallam , James Morley , Andrew G. Green

Thermalization (generalized thermalization) in nonintegrable (integrable) quantum systems requires two ingredients: equilibration and agreement with the predictions of the Gibbs (generalized Gibbs) ensemble. We prove that observables that…

统计力学 · 物理学 2023-08-10 Patrycja Łydżba , Marcin Mierzejewski , Marcos Rigol , Lev Vidmar

Understanding how out-of-equilibrium states thermalize under quantum unitary dynamics is an important problem in many-body physics. In this work, we propose a statistical ansatz for the matrix elements of non-equilibrium initial states in…

统计力学 · 物理学 2025-04-30 Laura Foini , Anatoly Dymarsky , Silvia Pappalardi

We review the recent progress in the understanding of the relaxation of isolated near-integrable quantum many-body systems. Focusing on prethermalization and universal dynamics following a quench, we describe the experiments with ultracold…

量子气体 · 物理学 2016-07-05 Tim Langen , Thomas Gasenzer , Jörg Schmiedmayer

Statistical mechanics provides a framework for describing the physics of large, complex many-body systems using only a few macroscopic parameters to determine the state of the system. For isolated quantum many-body systems, such a…

无序系统与神经网络 · 物理学 2025-02-11 Piotr Sierant , Maciej Lewenstein , Antonello Scardicchio , Lev Vidmar , Jakub Zakrzewski

Isolated quantum many-body systems which thermalize under their own dynamics are expected to act as their own thermal baths, thereby bringing their local subsystems to thermal equilibrium. Here we show that the infinite-dimensional limit of…

强关联电子 · 物理学 2025-03-25 Antonio Picano , Giulio Biroli , Marco Schirò