Extended eigenstate thermalization and the role of FZZT branes in the Schwarzian theory
Sign Up to like & getrecommendations! Published in 2020 at "Journal of High Energy Physics"
DOI: 10.1007/jhep03(2020)168
Abstract: In this paper we provide a universal description of the behavior of the basic operators of the Schwarzian theory in pure states. When the pure states are energy eigenstates, expectation values of non-extensive operators are… read more here.
Keywords: eigenstate thermalization; schwarzian theory; role fzzt; fzzt branes ... See more keywords
Eigenstate thermalization hypothesis in quantum dimer models
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review B"
DOI: 10.1103/physrevb.96.115140
Abstract: We use exact diagonalization to study the eigenstate thermalization hypothesis (ETH) in the quantum dimer model on the square and triangular lattices. Due to the nonergodicity of the local plaquette-ip dynamics, the Hilbert space, which… read more here.
Keywords: dimer models; quantum dimer; dimer; thermalization hypothesis ... See more keywords
Eigenstate thermalization hypothesis and out of time order correlators.
Sign Up to like & getrecommendations! Published in 2019 at "Physical review. E"
DOI: 10.1103/physreve.99.042139
Abstract: 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… read more here.
Keywords: eigenstate thermalization; thermalization hypothesis; time order; order correlators ... See more keywords
Dynamical Typicality Approach to Eigenstate Thermalization.
Sign Up to like & getrecommendations! Published in 2018 at "Physical review letters"
DOI: 10.1103/physrevlett.120.230601
Abstract: We consider the set of all initial states within a microcanonical energy shell of an isolated many-body quantum system, which exhibit an arbitrary but fixed nonequilibrium expectation value for some given observable A. On the… read more here.
Keywords: typicality approach; thermalization; eigenstate thermalization; dynamical typicality ... See more keywords
Generalized Eigenstate Thermalization Hypothesis in 2D Conformal Field Theories.
Sign Up to like & getrecommendations! Published in 2019 at "Physical review letters"
DOI: 10.1103/physrevlett.123.111602
Abstract: Infinite-dimensional conformal symmetry in two dimensions leads to integrability of 2D conformal field theories (CFTs) by giving rise to an infinite tower of local conserved quantum Korteweg-de Vries (qKdV) charges in involution. We discuss how… read more here.
Keywords: eigenstate thermalization; field theories; generalized eigenstate; conformal field ... See more keywords
Eigenstate Thermalization and Rotational Invariance in Ergodic Quantum Systems.
Sign Up to like & getrecommendations! Published in 2019 at "Physical review letters"
DOI: 10.1103/physrevlett.123.260601
Abstract: Generic rotationally invariant matrix models satisfy a simple relation: the probability distribution of half the difference between any two diagonal elements and the one of off-diagonal elements are the same. In the spirit of the… read more here.
Keywords: rotational invariance; eigenstate thermalization; thermalization; invariance ergodic ... See more keywords
Eigenstate Thermalization in a Locally Perturbed Integrable System.
Sign Up to like & getrecommendations! Published in 2020 at "Physical review letters"
DOI: 10.1103/physrevlett.125.070605
Abstract: Eigenstate thermalization is widely accepted as the mechanism behind thermalization in generic isolated quantum systems. Using the example of a single magnetic defect embedded in the integrable spin-1/2 XXZ chain, we show that locally perturbing… read more here.
Keywords: integrable system; locally perturbed; thermalization locally; eigenstate thermalization ... See more keywords
Eigenstate Thermalization Hypothesis and Free Probability.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review letters"
DOI: 10.1103/physrevlett.129.170603
Abstract: Quantum thermalization is well understood via the eigenstate thermalization hypothesis (ETH). The general form of ETH, describing all the relevant correlations of matrix elements, may be derived on the basis of a "typicality" argument of… read more here.
Keywords: eigenstate thermalization; free probability; thermalization; thermalization hypothesis ... See more keywords
Non-Abelian Eigenstate Thermalization Hypothesis.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review letters"
DOI: 10.1103/physrevlett.130.140402
Abstract: The eigenstate thermalization hypothesis (ETH) explains why nonintegrable quantum many-body systems thermalize internally if the Hamiltonian lacks symmetries. If the Hamiltonian conserves one quantity ("charge"), the ETH implies thermalization within a charge sector-in a microcanonical… read more here.
Keywords: thermalization; thermodynamics; thermalization hypothesis; eigenstate thermalization ... See more keywords
Hydrodynamics and the Eigenstate Thermalization Hypothesis
Sign Up to like & getrecommendations! Published in 2024 at "Physical Review X"
DOI: 10.1103/physrevx.15.011059
Abstract: 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 behavior of the off-diagonal… read more here.
Keywords: hydrodynamics; hydrodynamics eigenstate; thermalization hypothesis; eigenstate thermalization ... See more keywords
Trade-off between diagonal and off-diagonal elements in the eigenstate thermalization hypothesis.
Sign Up to like & getrecommendations! Published in 2024 at "Physical review. E"
DOI: 10.1103/zq9c-8w5t
Abstract: To bypass the reliance on local observables in verifying the eigenstate thermalization hypothesis (ETH), we introduce an observable-independent measure of distinguishability based on the variance of a rescaled local operator. We establish a universal trade-off… read more here.
Keywords: trade; eigenstate thermalization; diagonal elements; thermalization ... See more keywords