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We test the eigenstate thermalization hypothesis (ETH) in 1+1-dimensional SU(2) lattice gauge theory (LGT) with one flavor of dynamical fermions. Using the loop-string-hadron framework of the LGT with a bosonic cut-off, we exactly…

高能物理 - 理论 · 物理学 2026-05-28 Diptarka Das , Lukas Ebner , Saurabh V. Kadam , Indrakshi Raychowdhury , Andreas Schäfer , Xiaojun Yao

The strong eigenstate thermalization hypothesis (ETH) provides a sufficient condition for thermalization and equilibration. Although it is expected to be hold in a wide class of highly chaotic theories, there are only a few analytic…

高能物理 - 理论 · 物理学 2026-01-19 Taishi Kawamoto

The Eigenstate Thermalization Hypothesis (ETH) implies a form for the matrix elements of local operators between eigenstates of the Hamiltonian, expected to be valid for chaotic systems. Another signal of chaos is a positive Lyapunov…

统计力学 · 物理学 2019-05-01 Laura Foini , Jorge Kurchan

Having analytical instances of the Eigenstate Thermalization Hypothesis (ETH) is of obvious interest, both for fundamental and applied reasons. This is generically a hard task, due to the belief that non-linear interactions are basic…

量子物理 · 物理学 2016-08-01 Javier M. Magan

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

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…

统计力学 · 物理学 2026-05-26 Avadhut V. Purohit , Harshit Sharma , Udaysinh T. Bhosale

Under unitary time evolution, expectation values of physically reasonable observables often evolve towards the predictions of equilibrium statistical mechanics. The eigenstate thermalization hypothesis (ETH) states that this is also true…

统计力学 · 物理学 2018-04-19 Fabio Anza , Christian Gogolin , Marcus Huber

We present a generalization of the ETH conjecture. Using this generalization we are able to derive the fact that an arbitrary eigenstate of a general many body system may be used to represent microcanonical ensemble in any many body…

统计力学 · 物理学 2014-08-18 Garry Goldstein , Natan Andrei

Ergodic isolated quantum many-body systems satisfy the eigenstate thermalization hypothesis (ETH), i.e., the expectation values of local observables in the system's eigenstates approach the predictions of the microcanonical ensemble.…

无序系统与神经网络 · 物理学 2025-11-25 Adith Sai Aramthottil , Ali Emami Kopaei , Piotr Sierant , Lev Vidmar , Jakub Zakrzewski

We investigate a weak version of subsystem eigenstate thermalization hypothesis (ETH) for a two-dimensional large central charge conformal field theory by comparing the local equivalence of high energy state and thermal state of canonical…

高能物理 - 理论 · 物理学 2017-11-22 Song He , Feng-Li Lin , Jia-ju Zhang

Many phases of matter, including superconductors, fractional quantum Hall fluids and spin liquids, are described by gauge theories with constrained Hilbert spaces. However, thermalization and the applicability of quantum statistical…

统计力学 · 物理学 2016-12-09 A. Chandran , M. D. Schulz , F. J. Burnell

Matrix elements of observables in eigenstates of generic Hamiltonians are described by the Srednicki ansatz within the eigenstate thermalization hypothesis (ETH). We study a quantum chaotic spin-fermion model in a one-dimensional lattice,…

统计力学 · 物理学 2021-09-28 C. Schönle , D. Jansen , F. Heidrich-Meisner , L. Vidmar

The eigenstate thermalization hypothesis (ETH) underpins much of our modern understanding of the thermalization of closed quantum many-body systems. Here, we investigate the statistical properties of observables in the eigenbasis of the…

统计力学 · 物理学 2026-01-19 Gabriel Almeida , Pedro Ribeiro , Masudul Haque , Lucas Sá

According to the eigenstate thermalization hypothesis (ETH), the eigenstate-to-eigenstate fluctuations of expectation values of local observables should decrease with increasing system size. In approaching the thermodynamic limit - the…

统计力学 · 物理学 2021-04-14 Goran Nakerst , Masudul Haque

The eigenstate thermalization hypothesis (ETH) is a conjecture on the nature of isolated quantum systems that guarantees the thermal behavior of subsystems when it is satisfied. ETH has been tested in various forms on a number of local…

统计力学 · 物理学 2019-09-18 Masudul Haque , Paul McClarty

The so-called eigenstate thermalization hypothesis (ETH), which has been tested in various manybody models by numerical simulations, supplies a way of understanding eventual thermalization and is believed to be important for understanding…

统计力学 · 物理学 2024-10-17 Xiao Wang , Wen-ge Wang

The Eigenstate Thermalization Hypothesis (ETH) has been established as a cornerstone for understanding thermalization in quantum many-body systems. Recently, there has been growing interest in the full ETH, which extends the framework of…

统计力学 · 物理学 2026-05-12 Merlin Füllgraf , Jochen Gemmer , Jiaozi Wang

We consider the set of all initial states within a microcanonical energy shell of an isolated many-body quantum system, which exhibit the same, arbitrary but fixed non-equilibrium expectation value for some given observable $A$. On…

统计力学 · 物理学 2018-07-04 Peter Reimann

Even though foundations of the eigenstate thermalization hypothesis (ETH) are based on random matrix theory, physical Hamiltonians and observables substantially differ from random operators. One of the major challenges is to embed local…

统计力学 · 物理学 2020-02-05 Marcin Mierzejewski , Lev Vidmar

The eigenstate thermalization hypothesis (ETH) provides a cornerstone for understanding thermalization in isolated quantum systems, linking quantum chaos with statistical mechanics. In this work, we extend the ETH framework to open quantum…

量子物理 · 物理学 2025-05-27 Filippo Ferrari , Vincenzo Savona , Fabrizio Minganti