Subsystem eigenstate thermalization hypothesis
Name
PhysRevE.97.012140.pdf
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804.91 KB
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Author(s)
Dymarsky, Anatoly
Lashkari, Nima
Liu, Hong
Date Issued
January 2018
Journal
Physical Review E
Publisher
American Physical Society
Citation
Dymarsky, Anatoly et al. "Subsystem eigenstate thermalization hypothesis." Physical Review E 97, 1 (January 2018): 012140 © 2018 American Physical Society
Version
Final published version
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.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevE.97.012140
