Eigenstate Thermalisation Hypothesis for Translation Invariant Spin Systems
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Published:2023-07-21
Issue:7
Volume:190
Page:
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ISSN:1572-9613
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Container-title:Journal of Statistical Physics
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language:en
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Short-container-title:J Stat Phys
Author:
Sugimoto ShokiORCID, Henheik JoschaORCID, Riabov VolodymyrORCID, Erdős LászlóORCID
Abstract
AbstractWe prove the Eigenstate Thermalisation Hypothesis (ETH) for local observables in a typical translation invariant system of quantum spins with L-body interactions, where L is the number of spins. This mathematically verifies the observation first made by Santos and Rigol (Phys Rev E 82(3):031130, 2010, https://doi.org/10.1103/PhysRevE.82.031130) that the ETH may hold for systems with additional translational symmetries for a naturally restricted class of observables. We also present numerical support for the same phenomenon for Hamiltonians with local interaction.
Funder
Japan Society for the Promotion of Science HORIZON EUROPE European Research Council
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Statistical and Nonlinear Physics
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