Extension of the eigenstate thermalization hypothesis to nonequilibrium steady states

Moudgalya, Sanjay; Devakul, Trithep; Arovas, D. P.; Sondhi, S. L.

doi:10.1103/physrevb.100.045112

Extension of the eigenstate thermalization hypothesis to nonequilibrium steady states

Journal Article · Tue Jul 09 00:00:00 EDT 2019 · Physical Review B

DOI:https://doi.org/10.1103/physrevb.100.045112· OSTI ID:1612442

Moudgalya, Sanjay ^[1]; Devakul, Trithep ^[2]; Arovas, D. P. ^[3]; Sondhi, S. L. ^[4]

Princeton Univ., NJ (United States); DOE/OSTI
Princeton Univ., NJ (United States); Univ. of California, Santa Barbara, CA (United States)
Univ. of California at San Diego, La Jolla, CA (United States)
Princeton Univ., NJ (United States)

We extend the notion of the eigenstate thermalization hypothesis (ETH) to open quantum systems governed by the Gorini-Kossakowski-Lindblad-Sudarshan (GKLS) master equation. We present evidence that the eigenstates of nonequilibrium steady-state (NESS) density matrices obey a generalization of ETH in boundary-driven systems when the bulk Hamiltonian is nonintegrable, just as eigenstates of Gibbs density matrices are conjectured to do in equilibrium. Furthermore, this generalized ETH, which we call NESS ETH, can be used to obtain representative pure states that reproduce the expectation values of few-body operators in the NESS. The density matrices of these representative pure states can be further interpreted as weak solutions of the GKLS master equation. Additionally, we explore the validity and breakdown of NESS-ETH in the presence of symmetries, integrability, and many-body localization in the bulk Hamiltonian.

View Accepted Manuscript (DOE)

Research Organization:: Princeton Univ., NJ (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC)

Grant/Contract Number:: SC0016244

OSTI ID:: 1612442

Alternate ID(s):: OSTI ID: 1546453

Journal Information:: Physical Review B, Journal Name: Physical Review B Journal Issue: 4 Vol. 100; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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