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The irreversibility and thermalization of many-body systems can be attributed to the erasure of spread non-equilibrium state information by local operations. This thermalization mechanism can be demonstrated by the sequence of…

Quantum Physics · Physics 2025-11-24 Xue-Yi Guo

We find non-monotonic equilibrium energy distributions, qualitatively different from the Fermi-Dirac and Bose-Einstein forms, in strongly-interacting many-body chaotic systems. The effect emerges in systems with finite energy spectra,…

Quantum Gases · Physics 2026-01-01 Vladimir A. Yurovsky , Amichay Vardi

The connection between entanglement dynamics and non-equilibrium statistics in isolated many-body quantum systems has been established both theoretically and experimentally. Many-Body Localization (MBL), a phenomenon where interacting…

Quantum Physics · Physics 2025-07-04 Peyman Azodi , Herschel A. Rabitz

Many-body localized (MBL) systems lie outside the framework of statistical mechanics, as they fail to equilibrate under their own quantum dynamics. Even basic features of MBL systems such as their stability to thermal inclusions and the…

Disordered Systems and Neural Networks · Physics 2018-02-27 Pedro Ponte , C. R. Laumann , David A. Huse , A. Chandran

Disorder in one-dimensional (1D) many-body systems emerges abundant phases such as many-body localization (MBL), and thermalization. However, it remains unclear regarding their existence and behavior within hybrid quantum systems. Here,…

Quantum Physics · Physics 2023-08-24 Jin-Lou Ma , Bobo Liu , Qing Li , Zexian Guo , Lei Tan , Lei Ying

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…

Statistical Mechanics · Physics 2014-10-14 Dong E. Liu

Quadratic Hamiltonians that exhibit single-particle quantum chaos are called quantum-chaotic quadratic Hamiltonians. One of their hallmarks is single-particle eigenstate thermalization introduced in Phys. Rev. B 104, 214203 (2021), which…

Statistical Mechanics · Physics 2024-02-07 Piotr Tokarczyk , Lev Vidmar , Patrycja Łydżba

One of the fundamental problems of quantum statistical physics is how an ideally isolated quantum system can ever reach thermal equilibrium behavior despite the unitary time evolution of quantum-mechanical systems. Here, we study, via…

Quantum Physics · Physics 2025-06-24 Marvin Lenk , Sayak Biswas , Anna Posazhennikova , Johann Kroha

One of the outstanding problems in non-equilibrium physics is to precisely understand when and how physically relevant observables in many-body systems equilibrate under unitary time evolution. General equilibration results show that…

Quantum Physics · Physics 2020-02-18 Henrik Wilming , Marcel Goihl , Ingo Roth , Jens Eisert

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

An isolated quantum many-body system in an initial pure state will come to thermal equilibrium if it satisfies the eigenstate thermalization hypothesis (ETH). We consider alternatives to ETH that have been proposed. We first show that von…

Statistical Mechanics · Physics 2012-03-15 Marcos Rigol , Mark Srednicki

In the framework of the theory of open systems, we give a description of quantum entanglement and quantum discord for two non-interacting modes embedded in a thermal environment. We describe the evolution of entanglement in terms of the…

Quantum Physics · Physics 2015-06-12 Aurelian Isar

A large class of isolated quantum system in a pure state can equilibrate and serve as a heat bath. We show that once the equilibrium is reached, any of its subsystems that is much smaller than the isolated system is thermalized such that…

Statistical Mechanics · Physics 2014-06-13 Quntao Zhuang , Biao Wu

The clustering property of an equilibrium bipartite correlation is one of the most general thermodynamic properties in non-critical many-body quantum systems. Herein, we consider the thermalization properties of a system class exhibiting…

Statistical Mechanics · Physics 2020-05-27 Tomotaka Kuwahara , Keiji Saito

Thermalization in an isolated oscillating Bose-Einstein condensate in a disordered trap is investigated. We show Shannon entropy in $x$ or $p$ representation is the eligible one to describe the thermalization. Besides, we show that multiple…

Quantum Gases · Physics 2023-02-10 Che-Hsiu Hsueh , Chi-Ho Cheng , Tzyy-Leng Horng , Wen-Chin Wu

The Kugel--Khomskii model with entangled spin and orbital degrees of freedom is a good testing ground for many important features in quantum information processing, such as robust gaps in the entanglement spectra. Here, we demonstrate that…

Quantum Physics · Physics 2022-06-07 V. E. Valiulin , A. V. Mikheyenkov , N. M. Chtchelkatchev , K. I. Kugel

Eigenstate thermalization refers to the property that an energy eigenstate of a many-body system is indistinguishable from a thermal equilibrium ensemble at the same energy as far as expectation values of local observables are concerned. In…

Statistical Mechanics · Physics 2026-03-25 Lennart Dabelow , Christian Eidecker-Dunkel , Peter Reimann

Symmetries play a central role in single-particle localization. Recent research focused on many-body localized (MBL) systems, characterized by new kind of integrability, and by the area-law entanglement of eigenstates. We investigate the…

Strongly Correlated Electrons · Physics 2020-02-12 I. V. Protopopov , R. K. Panda , T. Parolini , A. Scardicchio , E. Demler , D. A. Abanin

Understanding how isolated quantum systems thermalize has recently gathered renewed interest almost 100 years after the first work by von Neumann, thanks to the experimental realizations of such systems. Experimental and numerical pieces of…

Statistical Mechanics · Physics 2019-01-08 Ryusuke Hamazaki

We explore thermalization and quantum dynamics in a one-dimensional disordered SU(2)-symmetric Floquet model, where a many-body localized phase is prohibited by the non-abelian symmetry. Despite the absence of localization, we find an…

Disordered Systems and Neural Networks · Physics 2020-12-15 Zhi-Cheng Yang , Stuart Nicholls , Meng Cheng