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相关论文: Strong Eigenstate Thermalization from Mean-Ergodic…

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The eigenstate thermalization hypothesis (ETH), which asserts that every eigenstate of a many-body quantum system is indistinguishable from a thermal ensemble, plays a pivotal role in understanding thermalization of isolated quantum…

统计力学 · 物理学 2025-05-27 Shoki Sugimoto , Ryusuke Hamazaki , Masahito Ueda

We consider a minimal model for quantum thermalization of coupled chaotic subsystems. The route towards ergodicity is explored as a function of the coupling strength. The results are contrasted with the predictions of standard Random Matrix…

统计力学 · 物理学 2025-12-23 Amichay Vardi , Doron Cohen

The Eigenstate Thermalization Hypothesis (ETH) has played a major role in understanding thermodynamic phenomena in closed quantum systems. However, its connection to the timescale of thermalization for open system dynamics has remained…

量子物理 · 物理学 2023-03-30 Chi-Fang Chen , Fernando G. S. L. Brandão

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…

统计力学 · 物理学 2021-03-31 Shoki Sugimoto , Ryusuke Hamazaki , Masahito Ueda

A plausible mechanism of thermalization in isolated quantum systems is based on the strong version of the eigenstate thermalization hypothesis (ETH), which states that all the energy eigenstates in the microcanonical energy shell have…

统计力学 · 物理学 2018-05-23 Toru Yoshizawa , Eiki Iyoda , Takahiro Sagawa

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…

统计力学 · 物理学 2022-02-02 Lennart Dabelow , Patrick Vorndamme , Peter Reimann

The thermalizing dynamics of many-body systems is often described through the lens of the Eigenstate Thermalization Hypothesis (ETH). ETH postulates that the statistical properties of observables, when expressed in the energy eigenbasis,…

统计力学 · 物理学 2026-04-01 Jiaozi Wang , Ruchira Mishra , Tian-Hua Yang , Luca V. Delacrétaz , Silvia Pappalardi

Using the ergodicity principle for the expectation values of several types of observables, we investigate the thermalization process in isolated fermionic systems. These are described by the two-body random ensemble, which is a paradigmatic…

统计力学 · 物理学 2015-05-27 V. K. B. Kota , A. Relaño , J. Retamosa , Manan Vyas

The eigenstate thermalisation hypothesis (ETH) is a statistical characterisation of eigen-energies, eigenstates and matrix elements of local operators in thermalising quantum systems. We develop an ETH-like ansatz of a partially…

量子物理 · 物理学 2022-08-01 Philip JD Crowley , Anushya Chandran

The eigenstate thermalization hypothesis (ETH) is a successful theory that establishes the criteria for ergodicity and thermalization in isolated quantum many-body systems. In this work, we investigate the thermalization properties of…

The eigenstate thermalization hypothesis (ETH) postulates that the energy eigenstates of an isolated many-body system are thermal, i.e., each of them already yields practically the same expectation values as the microcanonical ensemble at…

统计力学 · 物理学 2015-05-29 Peter Reimann

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 eigenstate thermalization hypothesis (ETH) provides a fundamental mechanism for emergent statistical mechanics in isolated chaotic quantum systems, asserting that individual energy eigenstates behave as pseudorandom vectors within an…

量子物理 · 物理学 2026-05-27 Ning Sun , Yanting Cheng

The eigenstate thermalization hypothesis (ETH) attempts to bridge the gap between quantum mechanical and statistical mechanical descriptions of isolated quantum systems. Here, we define unbiased measures for how well the ETH works in…

统计力学 · 物理学 2016-05-04 Pavan Hosur , Xiao-Liang Qi

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…

统计力学 · 物理学 2012-03-15 Marcos Rigol , Mark Srednicki

The eigenstate thermalization hypothesis (ETH) is the leading interpretation in our current understanding of quantum thermalization. Recent results uncovered strong connections between quantum correlations in thermalizing systems and the…

统计力学 · 物理学 2025-12-23 Gabriel O. Alves , Felix Fritzsch , Pieter W. Claeys

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 eigenstate thermalization hypothesis (ETH), which dictates that all diagonal matrix elements within a small energy shell be almost equal, is a major candidate to explain thermalization in isolated quantum systems. According to the…

统计力学 · 物理学 2018-02-27 Ryusuke Hamazaki , Masahito Ueda

The Eigenstate-Thermalization-Hypothesis (ETH) has been established as the general framework to understand quantum statistical mechanics. Only recently has the attention been paid to so-called full ETH, which accounts for higher-order…

统计力学 · 物理学 2025-04-10 Silvia Pappalardi , Felix Fritzsch , Tomaž Prosen

Under the Eigenstate Thermalization Hypothesis (ETH), quantum-quenched systems equilibrate towards canonical, thermal ensembles. While at first glance the ETH might seem a very strong hypothesis, we show that it is indeed not only…

量子物理 · 物理学 2016-02-03 Giacomo De Palma , Alessio Serafini , Vittorio Giovannetti , Marcus Cramer