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相关论文: Eigenstate thermalization in the Sachdev-Ye-Kitaev…

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In this work, we study a generalization of the coupled Sachdev-Ye-Kitaev (SYK) model with $U(1)$ charge conservations. The model contains two copies of the complex SYK model at different chemical potentials, coupled by a direct hopping…

高能物理 - 理论 · 物理学 2020-11-30 Pengfei Zhang

We derive semiclassical analytical solutions for both the diagonal and off-diagonal functions in the eigenstate thermalization hypothesis (ETH) in a quarter-stadium quantum billiard. For a representative observable, we obtain an explicit…

量子物理 · 物理学 2025-10-15 Yaoqi Ye , Chengkai Lin , Xiao Wang

Eigenstate thermalization hypothesis (ETH) represents a breakthrough in many-body physics since it allows to link thermalization of physical observables with the applicability of random matrix theory (RMT). Recent years were also extremely…

统计力学 · 物理学 2024-08-06 Maksymilian Kliczkowski , Rafał Świętek , Miroslav Hopjan , Lev Vidmar

The phenomenon of quantum many-body scars (QMBS) has been studied both theoretically and experimentally, due to its unusual violation of the eigenstate thermalization hypothesis (ETH). In this paper, we extend the ETH to a new description…

量子物理 · 物理学 2026-03-09 Jia-wei Wang , Xiang-Fa Zhou , Guang-Can Guo , Zheng-Wei Zhou

In both canonical ensemble and grand canonical ensemble, the thermodynamic stability and phase structure of Einstein-Euler-Heisenberg-AdS black hole are studied. We derive the Hawking temperature, Helmholtz free energy, Gibbs potential,…

高能物理 - 理论 · 物理学 2025-01-24 Yinan Zhao , Hongbo Cheng

It is commonly believed that quantum isolated systems satisfying the eigenstate thermalization hypothesis (ETH) are diffusive. We show that this assumption is too restrictive, since there are systems that are asymptotically in a thermal…

统计力学 · 物理学 2016-10-25 David J. Luitz , Yevgeny Bar Lev

We consider the Sachdev-Ye-Kitaev (SYK) model as an effective theory arising at the zero-dimensional boundary of a many-body localized, Fermionic symmetry protected topological (SPT) phase in one spatial dimension. The Fermions at the…

强关联电子 · 物理学 2017-04-05 Yi-Zhuang You , Andreas W. W. Ludwig , Cenke Xu

We extend the notion of the Eigenstate Thermalization Hypothesis (ETH) to Open Quantum Systems governed by the Gorini-Kossakowski-Lindblad-Sudarshan (GKLS) Master Equation. We present evidence that the eigenstates of non-equilibrium steady…

统计力学 · 物理学 2019-07-10 Sanjay Moudgalya , Trithep Devakul , D. P. Arovas , S. L. Sondhi

In this paper, we study the thermodynamic behavior of charged AdS black holes in a conformal holographic extended thermodynamic. Our setup is constructed using a new dictionary that relates AdS black hole quantities to the corresponding…

高能物理 - 理论 · 物理学 2024-03-26 Yahya Ladghami , Taoufik Ouali

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

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 propose a generalization of the eigenstate thermalization hypothesis accounting for the emergence of symmetry-breaking phases. It consists of two conditions that any system with a degenerate spectrum must fulfill in order to thermalize.…

量子物理 · 物理学 2025-06-17 Sebastián Gómez , Ángel L. Corps , Armando Relaño

The Sachdev-Ye-Kitaev (SYK) model describes Majorana fermions with random interaction, which displays many interesting properties such as non-Fermi liquid behavior, quantum chaos, emergent conformal symmetry and holographic duality. Here we…

高能物理 - 理论 · 物理学 2017-09-13 Yiming Chen , Hui Zhai , Pengfei Zhang

Holographic quantum matter exhibits an intriguing connection between quantum black holes and more conventional (albeit strongly interacting) quantum many-body systems. This connection is manifested in the study of their…

强关联电子 · 物理学 2018-08-03 M. Franz , M. Rozali

System of Majorana zero modes with random infinite range interactions -- the Sachdev-Ye-Kitaev (SYK) model -- is thought to exhibit an intriguing relation to the horizons of extremal black holes in two-dimensional anti-de Sitter (AdS$_2$)…

无序系统与神经网络 · 物理学 2017-07-18 D. I. Pikulin , M. Franz

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

We investigate the non-equilibrium dynamics of complex Sachdev-Ye-Kitaev (SYK) models in the $q\rightarrow\infty$ limit, where $q/2$ denotes the order of the random Dirac fermion interaction. We extend previous results by Eberlein et al.…

强关联电子 · 物理学 2022-02-17 Jan C. Louw , Stefan Kehrein

We study eigenstate thermalization and related signatures of quantum chaos in the one-dimensional ferromagnetic transverse-field Ising model with power-law interactions. The presence of long-range interactions allows for a…

统计力学 · 物理学 2017-06-13 Keith R. Fratus , Mark Srednicki

We study the matrix elements of local and nonlocal operators in the single-particle eigenstates of two paradigmatic quantum-chaotic quadratic Hamiltonians; the quadratic Sachdev-Ye-Kitaev (SYK2) model and the three-dimensional Anderson…

统计力学 · 物理学 2021-12-15 Patrycja Łydżba , Yicheng Zhang , Marcos Rigol , Lev Vidmar

We show that a non-Hermitian two coupled Sachdev-Ye-Kitaev (SYK) model can provide thermodynamic structure equivalent to Hermitian two coupled SYK model. The energy spectrum, the entanglement degree of the ground states and the low energy…

高能物理 - 理论 · 物理学 2022-11-21 Wenhe Cai , Sizheng Cao , Xian-Hui Ge , Masataka Matsumoto , Sang-Jin Sin