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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

Using a two-level moving probe, we address the temperature estimation of a static thermal bath modeled by a massless scalar field prepared in a thermal state. Different couplings of the probe to the field are discussed under various…

Quantum Physics · Physics 2023-01-10 Hossein Rangani Jahromi , Samira Ebrahimi Asl Mamaghani , Rosario Lo Franco

In this paper, we study the Feingold-Peres model as an example, which is a well-known paradigm of quantum chaos. Using semiclassical analysis and numerical simulations, we study the statistical properties of observables in few-body systems…

Statistical Mechanics · Physics 2025-06-11 Jiaozi Wang , Hua Yan , Robin Steinigeweg , Jochen Gemmer

Within the framework of relativistic quantum field theory, a novel method is established which allows to distinguish non-equilibrium states admitting locally a thermodynamic interpretation. The basic idea is to compare these states with…

High Energy Physics - Phenomenology · Physics 2015-06-25 Detlev Buchholz , Izumi Ojima , Hansjoerg Roos

Thermal equilibrium states are exponentially hard to distinguish at very low temperatures, making equilibrium quantum thermometry in this regime a formidable task. We present a thermometric scheme that circumvents this limitation, by using…

Quantum Physics · Physics 2021-10-07 Ivan Henao , Karen V. Hovhannisyan , Raam Uzdin

Thermalization in closed quantum systems can be explained either by means of the eigenstate thermalization hypothesis or the concept of canonical typicality. Both concepts are based on quantum mechanical formalism such as spectral…

Quantum Gases · Physics 2015-08-11 Jayson G. Cosme , Oleksandr Fialko

Quantum simulators offer a new opportunity for the experimental exploration of non-equilibrium quantum many-body dynamics, which have traditionally been characterized through expectation values or entanglement measures, based on density…

Quantum Physics · Physics 2025-06-27 Zhiguang Yan , Zi-Yong Ge , Rui Li , Yu-Ran Zhang , Franco Nori , Yasunobu Nakamura

We review methods that allow one to detect and characterise quantum correlations in many-body systems, with a special focus on approaches which are scalable. Namely, those applicable to systems with many degrees of freedom, without…

Quantum Physics · Physics 2023-09-28 Irénée Frérot , Matteo Fadel , Maciej Lewenstein

We study the prethermalization and thermalization dynamics of local observables in weakly perturbed nonintegrable systems, with Hamiltonians of the form $\hat{H}_0+g\hat{V}$, where $\hat{H}_0$ is nonintegrable and $g\hat{V}$ is a…

Statistical Mechanics · Physics 2021-11-19 Krishnanand Mallayya , Marcos Rigol

Deriving conditions under which a macroscopic system thermalizes directly from the underlying quantum many-body dynamics of its microscopic constituents is a long-standing challenge in theoretical physics. The well-known eigenstate…

Statistical Mechanics · Physics 2022-02-02 Lennart Dabelow , Patrick Vorndamme , Peter Reimann

Prethermalization refers to the transient phenomenon where a system thermalizes according to a Hamiltonian that is not the generator of its evolution. We provide here a rigorous framework for quantum spin systems where prethermalization is…

Mathematical Physics · Physics 2017-07-11 Dmitry Abanin , Wojciech De Roeck , Wen Wei Ho , Francois Huveneers

Proving thermalization from the unitary evolution of a closed quantum system is one of the oldest questions that is still nowadays only partially resolved. Several efforts have led to various formulations of what is called the eigenstate…

Quantum Physics · Physics 2025-07-24 Christian Bertoni , Clara Wassner , Giacomo Guarnieri , Jens Eisert

We present numerical results demonstrating the possibility of thermalization of single-particle observables in a one-dimensional integrable system (a quasicondensate of ultra-cold, weakly-interacting bosonic atoms being studied as a…

Quantum Gases · Physics 2011-12-01 Pjotrs Grisins , Igor E. Mazets

Deep thermalization refers to the emergence of Haar-like randomness from quantum systems upon partial measurements. As a generalization of quantum thermalization, it is often associated with high complexity and entanglement. Here, we…

Quantum Physics · Physics 2025-11-24 Shantanav Chakraborty , Soonwon Choi , Soumik Ghosh , Tudor Giurgică-Tiron

Estimating physical properties of quantum states from measurements is one of the most fundamental tasks in quantum science. In this work, we identify conditions on states under which it is possible to infer the expectation values of all…

Quantum Physics · Physics 2024-05-01 Cambyse Rouzé , Daniel Stilck França

Thermalization in highly excited quantum many-body system does not necessarily mean a complete memory loss of the way the system was formed. This effect may pave a way for a quantum computing, with a large number of qubits $n\simeq…

Quantum Physics · Physics 2008-12-19 M. Bienert , J. Flores , S. Yu. Kun , T. H. Seligman

In an isolated quantum many-body system undergoing unitary evolution, we study the thermalization of a subsystem, treating the rest of the system as a bath. In this setting, the eigenstate thermalization hypothesis (ETH) was proposed to…

Statistical Mechanics · Physics 2023-11-30 Aram W. Harrow , Yichen Huang

The thermalization of isolated quantum many-body systems is deeply related to fundamental questions of quantum information theory. While integrable or many-body localized systems display non-ergodic behavior due to extensively many…

Quantum many-body scar (QMBS) in kinetically constrained quantum systems challenges the conventional eigenstate thermalization hypothesis (ETH). We develop an effective open-system description for constrained dynamics and introduce the…

Quantum Physics · Physics 2026-03-09 Jia-wei Wang , Xiang-Fa Zhou , Guang-Can Guo , Zheng-Wei Zhou

We study the thermalization of an ensemble of $N$ elementary, arbitrarily-complex, quantum systems, mutually noninteracting but coupled as electric or magnetic dipoles to a blackbody radiation. The elementary systems can be all the same or…

Quantum Physics · Physics 2017-06-22 Massimo Ostilli , Carlo Presilla
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