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Eigenstate Thermalisation on Average

Quantum Physics 2021-09-01 v2 Statistical Mechanics

Abstract

We consider conditions under which an isolated quantum system approaches a microcanonical equilibrium state. A key component is the eigenstate thermalisation hypothesis, which proposes that all energy eigenstates appear thermal. We introduce a weaker version of this requirement, applying only to the average distinguishability of eigenstates from the thermal state, and investigate its necessity and sufficiency for thermalisation.

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Cite

@article{arxiv.2104.14940,
  title  = {Eigenstate Thermalisation on Average},
  author = {Joe Dunlop and Oliver Cohen and Anthony J. Short},
  journal= {arXiv preprint arXiv:2104.14940},
  year   = {2021}
}

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9 pages