Subsystem eigenstate thermalization hypothesis

Anatoly Dymarsky, Nima Lashkari, Hong Liu

Research output: Contribution to journalArticlepeer-review

107 Scopus citations

Abstract

Motivated by the qualitative picture of canonical typicality, we propose a refined formulation of the eigenstate thermalization hypothesis (ETH) for chaotic quantum systems. This formulation, which we refer to as subsystem ETH, is in terms of the reduced density matrix of subsystems. This strong form of ETH outlines the set of observables defined within the subsystem for which it guarantees eigenstate thermalization. We discuss the limits when the size of the subsystem is small or comparable to its complement. In the latter case we outline the way to calculate the leading volume-proportional contribution to the von Neumann and Renyi entanglment entropies. Finally, we provide numerical evidence for the proposal in the case of a one-dimensional Ising spin chain.

Original languageEnglish
Article number012140
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume97
Issue number1
DOIs
StatePublished - Jan 25 2018

Bibliographical note

Publisher Copyright:
© 2018 American Physical Society.

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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