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相关论文: Chaos and Thermalization in the Spin-Boson Dicke M…

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Local observables in generic periodically driven closed quantum systems are known to relax to values described by periodic infinite temperature ensembles. At the same time, ergodic static systems exhibit anomalous thermalization of local…

无序系统与神经网络 · 物理学 2018-08-15 Sthitadhi Roy , Yevgeny Bar Lev , David J. Luitz

We study how the proximity to an integrable point or to localization as one approaches the atomic limit, as well as the mixing of symmetries in the chaotic domain, may affect the onset of thermalization in finite one-dimensional systems. We…

统计力学 · 物理学 2013-02-06 Lea F. Santos , Marcos Rigol

The eigenstate thermalization hypothesis (ETH) is foundational to modern discussions of thermalization in closed quantum systems. In this work, we expand on traditional explanations for the prevalence of ETH by emphasizing the role of…

量子物理 · 物理学 2025-02-10 Stefan Eccles

If and how an isolated quantum system thermalizes despite its unitary time evolution is a long-standing, open problem of many-body physics. The eigenstate thermalization hypothesis (ETH) postulates that thermalization happens at the level…

量子气体 · 物理学 2018-11-06 Anna Posazhennikova , Mauricio Trujillo-Martinez , Johann Kroha

The eigenstate thermalization hypothesis is a compelling conjecture which strives to explain the apparent thermal behavior of generic observables in closed quantum systems. Although we are far from a complete analytic understanding, quantum…

高能物理 - 理论 · 物理学 2018-02-27 Nicholas Hunter-Jones , Junyu Liu , Yehao Zhou

The postulates of the eigenstate thermalization hypothesis (ETH) express that thermalization occurs due to the individual eigenstate of the system's Hamiltonian. But the ETH put no light on the dynamics that lead toward thermalization. In…

量子气体 · 物理学 2022-11-02 Javed Akram , Asad Hussain , Muhammad Nouman , Jameel Hussain

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

We consider a chaotic many-body system (i.e., one that satisfies the eigenstate thermalization hypothesis) that is split into two subsystems, with an interaction along their mutual boundary, and study the entanglement properties of an…

统计力学 · 物理学 2019-11-11 Chaitanya Murthy , Mark Srednicki

In their seminal work, Fermi, Pasta, Ulam and Tsingou explored the connection between statistical mechanics and dynamical properties, such as chaos and ergodicity. Even today, seventy years later, the topic is not fully understood: while…

This work aims at understanding the interplay between the Eigenstate Thermalization Hypothesis (ETH), initial state independent equilibration and quantum chaos in systems that do not have a direct classical counterpart. It is based on…

量子物理 · 物理学 2016-04-20 Abdellah Khodja , Daniel Schmidtke , Jochen Gemmer

The eigenstate thermalization hypothesis (ETH) plays a major role in explaining thermalization of isolated quantum many-body systems. However, there has been no proof of the ETH in realistic systems due to the difficulty in the theoretical…

统计力学 · 物理学 2024-10-25 Yuuya Chiba , Yasushi Yoneta

Many-body quantum chaos has immense potential as a tool to accelerate the preparation of entangled states and overcome challenges due to decoherence and technical noise. Here, we study how chaos in the paradigmatic Dicke model, which…

量子气体 · 物理学 2024-10-08 Yicheng Zhang , Juan Zuniga Castro , Robert J. Lewis-Swan

In classical systems, chaos is clearly defined via the behavior of trajectories. In quantum systems with a classical analogue one finds that the transition from regular to chaotic dynamics is signified by a change in the spectral…

统计力学 · 物理学 2026-03-24 Fotis I. Giasemis

We numerically study a Bose-Hubbard ring of finite size with disorder containing a finite number of bosons that are subject to an on-site two-body interaction. Our results show that moderate interactions induce dynamical thermalization in…

量子气体 · 物理学 2016-01-27 Peter Schlagheck , Dima L. Shepelyansky

Weakly perturbed integrable many-body systems are typically chaotic, and thermal at late times. However, there are distinct relationships between the timescales for thermalization and chaos. The typical relationship is confined chaos: when…

统计力学 · 物理学 2025-08-19 Hyeongjin Kim , Robin Schäfer , David M. Long , Anatoli Polkovnikov , Anushya Chandran

The eigenstate thermalization hypothesis (ETH) describes the properties of diagonal and off-diagonal matrix elements of local operators in the eigenenergy basis. In this work, we propose a relation between (i) the singular behaviour of the…

量子物理 · 物理学 2025-03-18 Luca Capizzi , Jiaozi Wang , Xiansong Xu , Leonardo Mazza , Dario Poletti

The eigenstate thermalization hypothesis (ETH) and the theory of linear response (LRT) are celebrated cornerstones of our understanding of the physics of many-body quantum systems out of equilibrium. While the ETH provides a generic…

统计力学 · 物理学 2019-05-29 Jonas Richter , Jochen Gemmer , Robin Steinigeweg

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

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

The Eigenstate Thermalization Hypothesis (ETH) was developed as a framework for understanding how the principles of statistical mechanics emerge in the long-time limit of isolated quantum many-body systems. Since then, ETH has shifted the…

统计力学 · 物理学 2025-12-01 Elisa Vallini , Laura Foini , Silvia Pappalardi