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We verify that the eigenstate thermalization hypothesis (ETH) holds universally for locally interacting quantum many-body systems. Introducing random-matrix ensembles with interactions, we numerically obtain a distribution of maximum…

Statistical Mechanics · Physics 2021-03-31 Shoki Sugimoto , Ryusuke Hamazaki , Masahito Ueda

Quantum error correction, thermalization, and quantum chaos are fundamental aspects of quantum many-body physics that have each developed largely independently, despite their deep conceptual overlap. In this work, we establish a precise…

Quantum Physics · Physics 2025-10-31 Shozab Qasim , Jason Pollack

In this work, we develop a self-consistent Hartree-Fock approach to theoretically study the far-from-equilibrium quantum dynamics of interacting fermions, and apply this approach to explore the onset of many-body localization (MBL) in these…

Disordered Systems and Neural Networks · Physics 2018-12-31 Simon A. Weidinger , Sarang Gopalakrishnan , Michael Knap

Recent work has shown that the entanglement of finite-temperature eigenstates in chaotic quantum many-body local Hamiltonians can be accurately described by an ensemble of random states with an internal $U(1)$ symmetry. We build upon this…

Quantum Physics · Physics 2025-09-18 Angelo Russotto , Filiberto Ares , Pasquale Calabrese

We study heating rates in strongly interacting quantum lattice systems in the thermodynamic limit. Using a numerical linked cluster expansion, we calculate the energy as a function of the driving time and find a robust exponential regime.…

Statistical Mechanics · Physics 2019-12-16 Krishnanand Mallayya , Marcos Rigol

The eigenstate thermalization hypothesis (ETH) is a successful theory that provides sufficient criteria for ergodicity in quantum many-body systems. Most studies were carried out for Hamiltonians relevant for ultracold quantum gases and…

Strongly Correlated Electrons · Physics 2019-04-29 David Jansen , Jan Stolpp , Lev Vidmar , Fabian Heidrich-Meisner

Classical arguments for thermalization of isolated systems do not apply in a straightforward way to the quantum case. Recently, there has been interest in diagnostics of quantum chaos in many- body systems. In the classical case, chaos is a…

Statistical Mechanics · Physics 2019-06-26 Yuri D. Lensky , Xiao-Liang Qi

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,…

Strongly Correlated Electrons · Physics 2019-09-11 Andrew Hallam , James Morley , Andrew G. Green

We study the thermalization of a composite quantum system consisting of several subsystems, where only a small one of the subsystem contacts with a heat bath in equilibrium, while the rest of the composite system is contact free. We show…

Quantum Physics · Physics 2014-03-24 Sheng-Wen Li , D. Z. Xu , X. F. Liu , C. P. Sun

Thermalization and its breakdown in interacting quantum many-body systems are governed by mid-spectrum eigenstates, which are typically accessible only in small system sizes amenable to exact diagonalization. Here we demonstrate that the…

Strongly Correlated Electrons · Physics 2026-03-31 Andrew Hallam , Jared Jeyaretnam , Zlatko Papić

We investigate the onset of thermalization and quantum chaos in finite one-dimensional gapped systems of hard-core bosons. Integrability in these systems is broken by next-nearest-neighbor repulsive interactions, which also generate a…

Statistical Mechanics · Physics 2010-07-12 Marcos Rigol , Lea F. Santos

The decay rate for a particle in a metastable cubic potential is investigated in the quantum regime by the Euclidean path integral method in semiclassical approximation. The imaginary time formalism allows one to monitor the system as a…

Statistical Mechanics · Physics 2008-04-22 Marco Zoli

The quantum dynamics of correlated fermionic or bosonic many-body systems following external excitation can be successfully studied using nonequilibrium Green functions (NEGF) or reduced density matrix methods. Approximations are introduced…

Strongly Correlated Electrons · Physics 2023-12-27 Erik Schroedter , Björn Jakob Wurst , Jan-Philip Joost , Michael Bonitz

We report an example of a many-body system, derived from the double kicked top (DKT), with non-chaotic yet mean-ergodic dynamics that displays \textit{strong} eigenstate thermalization hypothesis (ETH) in the quantum regime. The analysis…

Statistical Mechanics · Physics 2026-05-26 Avadhut V. Purohit , Harshit Sharma , Udaysinh T. Bhosale

A novel formalism, called H-theory, is applied to the problem of statistical equilibrium of a hierarchical complex system with multiple time and length scales. In this approach, the system is formally treated as being composed of a small…

Statistical Mechanics · Physics 2019-05-06 Giovani L. Vasconcelos , Domingos S. P. Salazar , A. M. S. Macêdo

We propose a generalized thermodynamics in which quasi-homogeneity of the thermodynamic potentials plays a fundamental role. This thermodynamic formalism arises from a generalization of the approach presented in paper [1], and it is based…

General Relativity and Quantum Cosmology · Physics 2015-06-25 F. Belgiorno

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…

Quantum Physics · Physics 2025-09-19 Niklas Mueller , Tianyi Wang , Or Katz , Zohreh Davoudi , Marko Cetina

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)…

Statistical Mechanics · Physics 2023-08-08 Berislav Buča

A quantum many-body scar is an eigenstate of a chaotic many-body Hamiltonian that exhibits two seemingly incongruous properties: its energy eigenvalue corresponds to a high temperature, yet its entanglement structure resembles that of…

Quantum Physics · Physics 2025-10-16 Phillip C. Burke , Shane Dooley

We study many-body chaos in a (2+1)D relativistic scalar field theory at high temperatures in the classical statistical approximation, which captures the quantum critical regime and the thermal phase transition from an ordered to a…

Statistical Mechanics · Physics 2019-08-21 Alexander Schuckert , Michael Knap