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arXiv · 2304.04213

Eigenstate Thermalisation Hypothesis for Translation Invariant Spin Systems

Shoki Sugimoto·Joscha Henheik·Volodymyr Riabov·László Erdős
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Abstract

We prove the Eigenstate Thermalisation Hypothesis (ETH) for local observables in a typical translation invariant system of quantum spins with mean field interaction. This mathematically verifies the observation made in [L.Santos and M.Rigol, Phys.Rev.E 82, 031130 (2010, https://journals.aps.org/pre/abstract/10.1103/PhysRevE.82.031130)] that ETH may hold for systems with additional translation symmetries for a naturally restricted class of observables. We also present numerical support for the same phenomenon for Hamiltonians with local interactions.

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Shoki Sugimoto, Joscha Henheik, Volodymyr Riabov, László Erdős. 2023-04-09. Eigenstate Thermalisation Hypothesis for Translation Invariant Spin Systems. https://doi.org/10.1007/s10955-023-03132-4

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