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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…

统计力学 · 物理学 2018-05-23 Takashi Mori , Tatsuhiko N. Ikeda , Eriko Kaminishi , Masahito Ueda

This work is concerned with thermal quantum states of Hamiltonians on spin and fermionic lattice systems with short range interactions. We provide results leading to a local definition of temperature, thereby extending the notion of…

量子物理 · 物理学 2014-08-04 M. Kliesch , C. Gogolin , M. J. Kastoryano , A. Riera , J. Eisert

We investigate steady states of macroscopic quantum systems under dissipation not obeying the detailed balance condition. We argue that the Gibbs state at an effective temperature gives a good description of the steady state provided that…

统计力学 · 物理学 2020-04-17 Tatsuhiko Shirai , Takashi Mori

It is "conventional wisdom" that the uncertainty of local temperature measurements on equilibrium systems diverges exponentially fast as their temperature $T$ drops to zero. In contrast, some exactly solvable models showcase a more benign…

量子物理 · 物理学 2018-07-04 Karen V. Hovhannisyan , Luis A. Correa

The last decade has witnessed the remarkable progress in our understanding of thermalization in isolated quantum systems. Combining the eigenstate thermalization hypothesis with quantum measurement theory, we extend the framework of quantum…

统计力学 · 物理学 2018-10-31 Yuto Ashida , Keiji Saito , Masahito Ueda

The ultimate precision of any measurement of the temperature of a quantum system is the inverse of the local quantum thermal susceptibility [De Pasquale et al., Nature Communications 7, 12782 (2016)] of the subsystem with whom the…

量子物理 · 物理学 2017-05-24 Giacomo De Palma , Antonella De Pasquale , Vittorio Giovannetti

We establish some general dynamical properties of lattice many-body systems that are subject to a high-frequency periodic driving. We prove that such systems have a quasi-conserved extensive quantity $H_*$, which plays the role of an…

统计力学 · 物理学 2017-02-09 D. A. Abanin , W. De Roeck , W. W. Ho , F. Huveneers

Recent experimental and theoretical progress as well as the prospect of commercially viable quantum technologies have inspired great interest in the study of open quantum systems and their dynamics. Many open quantum systems are well…

统计力学 · 物理学 2022-06-10 Marvin Syed , Tilman Enss , Nicolò Defenu

It is well understood that many-body systems driven at high frequency heat up only exponentially slowly and exhibit a long prethermalization regime. We prove rigorously that a certain relevant class of systems heat very slowly under weak…

统计力学 · 物理学 2019-11-06 Wojciech De Roeck , Victor Verreet

Explaining quantum many-body dynamics is a long-held goal of physics. A rigorous operator algebraic theory of dynamics in locally interacting systems in any dimension is provided here in terms of time-dependent equilibrium (Gibbs)…

统计力学 · 物理学 2023-08-08 Berislav Buča

Simulating non-equilibrium phenomena in strongly-interacting quantum many-body systems, including thermalization, is a promising application of near-term and future quantum computation. By performing experiments on a digital quantum…

量子物理 · 物理学 2025-09-19 Niklas Mueller , Tianyi Wang , Or Katz , Zohreh Davoudi , Marko Cetina

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

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

We establish an analytical criterion for dynamical thermalization within harmonic systems, applicable to both classical and quantum models. Specifically, we prove that thermalization of various observables, such as particle energies in…

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…

量子物理 · 物理学 2020-09-08 Andreu Anglés-Castillo , Mari Carmen Bañuls , Armando Pérez , Inés De Vega

The locality of thermal quantum states has emerged as a key input for applications to thermalization, response theory, and efficient simulability. Locality is either captured by the decay of correlations or by local indistinguishability,…

数学物理 · 物理学 2026-01-22 Arka Adhikari , Joscha Henheik , Marius Lemm , Tom Wessel

Understanding the microscopic mechanisms of thermalization in closed quantum systems is among the key challenges in modern quantum many-body physics. We demonstrate a method to probe local thermalization in a large-scale many-body system by…

Ability of dynamical systems to relax to equilibrium has been investigated since the invention of statistical mechanics, which establishes the connection between dynamics of many-body Hamiltonian systems and phenomenological thermodynamics.…

统计力学 · 物理学 2019-07-01 K. S. Glavatskiy , V. L. Kulinskii

After a sudden disruption, weakly interacting quantum systems first relax to a prethermalized state that can be described by perturbation theory and a generalized Gibbs ensemble. Using these properties of the prethermalized state we…

强关联电子 · 物理学 2013-08-27 Michael Stark , Marcus Kollar

We study the scaling of entanglement in low-energy states of quantum many-body models on lattices of arbitrary dimensions. We allow for unbounded Hamiltonians such that systems with bosonic degrees of freedom are included. We show that if…

量子物理 · 物理学 2015-09-22 Fernando G. S. L. Brandao , Marcus Cramer