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Understanding how closed quantum systems dynamically approach thermal equilibrium presents a major unresolved problem in statistical physics. Generically, non-integrable quantum systems are expected to thermalize as they comply with the…

Thermalization in isolated quantum systems is governed by the eigenstate thermalization hypothesis, while strong disorder can induce its breakdown via many-body localization. Here we show that disorder can also generate a narrow band of…

强关联电子 · 物理学 2025-09-18 Yule Ma , Qianqian Chen , Mingyang Li , Zlatko Papić , Zheng Zhu

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

We use exact diagonalization to study the eigenstate thermalization hypothesis (ETH) in the quantum dimer model on the square and triangular lattices. Due to the nonergodicity of the local plaquette-flip dynamics, the Hilbert space, which…

统计力学 · 物理学 2017-09-25 Zhihao Lan , Stephen Powell

Thermalization is the process through which a physical system evolves toward a state of thermal equilibrium. Determining whether or not a physical system will thermalize from an initial state has been a key question in condensed matter…

量子物理 · 物理学 2026-01-05 Dhruv Devulapalli , T. C. Mooney , James D. Watson

It is argued that a typical many body energy eigenstate has a well defined thermodynamic entropy and that individual eigenstates possess thermodynamic characteristics analogous to those of generic isolated systems. We examine large systems…

统计力学 · 物理学 2015-05-14 J. M. Deutsch

The generalized Gibbs ensemble introduced for describing few body correlations in exactly solvable systems following a quantum quench is related to the nonergodic way in which operators sample, in the limit of infinite time after the…

统计力学 · 物理学 2012-02-13 Miguel A. Cazalilla , A. Iucci , Ming-Chiang Chung

A diagonal entropy, which depends only on the diagonal elements of the system's density matrix in the energy representation, has been recently introduced as the proper definition of thermodynamic entropy in out-of-equilibrium quantum…

统计力学 · 物理学 2012-02-17 Lea F. Santos , Anatoli Polkovnikov , Marcos Rigol

The features of the fundamental thermodynamical relation (expressing entropy as function of state variables) that arise from the self-gravitating character of a system are analyzed. The models studied include not only a spherically…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Erik A. Martinez

Generalized Hydrodynamics (GHD) has recently been devised as a method to solve the dynamics of integrable quantum many-body systems beyond the mean-field approximation. In its original form, a major limitation is the inability to predict…

Prethermalization refers to the physical phenomenon where a system evolves toward some long-lived non-equilibrium steady state before eventual thermalization sets in. One general scenario where this occurs is in driven systems with dynamics…

量子物理 · 物理学 2020-12-09 Wen Wei Ho , Wojciech De Roeck

A uniformly accelerated atom in an inertial vacuum generally thermalizes and reaches a Gibbs state. This phenomenon is commonly known as the Unruh effect. Here, we show that the situation is entirely different for the many-atoms problem. In…

量子物理 · 物理学 2025-09-09 Saptarshi Saha , Chiranjeeb Singha , Pragna Das , Arpan Chatterjee

Previous approaches of emergent thermalization for condensed matter based on typical wavefunctions are extended to generate an intrinsically quantum theory of gases. Gases are fundamentally quantum objects at all temperatures, by virtue of…

综合物理 · 物理学 2015-06-29 Clifford Chafin

Thermalization of a closed chaotic quantum system is commonly addressed in terms of the eigenstate thermalization hypothesis (ETH). An alternative approach uses the Bohigas-Giannoni-Schmit (BGS) conjecture. The comparison shows that the two…

数学物理 · 物理学 2025-09-29 Hans A. Weidenmüller

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

We study the onset of eigenstate thermalization in the two-dimensional transverse field Ising model (2D-TFIM) in the square lattice. We consider two non-equivalent Hamiltonians: the ferromagnetic 2D-TFIM and the antiferromagnetic 2D-TFIM in…

统计力学 · 物理学 2016-03-14 Rubem Mondaini , Keith R. Fratus , Mark Srednicki , Marcos Rigol

The observable long-time behavior of an isolated many-body system after a quantum quench is considered, i.e., an eigenstate (or an equilibrium ensemble) of some pre-quench Hamiltonian $H$ serves as initial condition which then evolves in…

统计力学 · 物理学 2021-11-03 Peter Reimann

According to the eigenstate thermalization hypothesis (ETH), even isolated quantum systems can thermalize because the eigenstate-to-eigenstate fluctuations of typical observables vanish in the limit of large systems. Of course, isolated…

统计力学 · 物理学 2014-04-08 W. Beugeling , R. Moessner , Masudul Haque

The eigenstate thermalization hypothesis (ETH) attempts to bridge the gap between quantum mechanical and statistical mechanical descriptions of isolated quantum systems. Here, we define unbiased measures for how well the ETH works in…

统计力学 · 物理学 2016-05-04 Pavan Hosur , Xiao-Liang Qi

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