Characterizing the many-body localization transition using the entanglement spectrum

Geraedts, S. D.; Regnault, N.; Nandkishore, R. M.

doi:10.1088/1367-2630/aa93a5

Title: Characterizing the many-body localization transition using the entanglement spectrum

Journal Article · Wed Nov 01 00:00:00 EDT 2017 · New Journal of Physics

DOI:https://doi.org/10.1088/1367-2630/aa93a5· OSTI ID:1437755

Geraedts, S. D.; Regnault, N.; Nandkishore, R. M.

We numerically explore the many body localization (MBL) transition through the lens of the entanglement spectrum. While a direct transition from localization to thermalization is believed to be obtained in the thermodynamic limit (the exact details of which remain an open problem), in finite system sizes there exists an intermediate 'quantum critical' regime. Previous numerical investigations have explored the crossover from thermalization to criticality, and have used this to place a numerical lower bound on the critical disorder strength for MBL. Here a careful analysis of the high energy part of the entanglement spectrum (which contains universal information about the critical point) allows us to study the crossover from criticality to MBL, and we find evidence for such a crossover which could allow us to place a numerical upper bound on the critical disorder strength for MBL.

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

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0002140

OSTI ID:: 1437755

Alternate ID(s):: OSTI ID: 1500096

Journal Information:: New Journal of Physics, Journal Name: New Journal of Physics Vol. 19 Journal Issue: 11; ISSN 1367-2630

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United Kingdom

Language:: English

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Cited by: 37 works

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