Local Integrals of Motion in Anderson and Many-Body Localized Phases

ORAL

Abstract

We discuss general bounds for the growth of local operators under Hamiltonian dynamics. We point out fundamental differences between the case of an Anderson localized phase and the putative case of many-body localization. Our results are consistent with recent findings that localization does not occur in the many-body case.

* Funding by the Discovery grant program (NSERC) and by the Research Unit FOR 2316 (German Research Council) is acknowledged.

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Publication: 1) M. Kiefer-Emmanouilidis, R. Unanyan, M. Fleischhauer, J. Sirker, SciPost Phys. 12, 034 (2022).
2) M. Kiefer-Emmanouilidis, R. Unanyan, M. Fleischhauer, J. Sirker, Ann. Phys. (N.Y) 435, 168481 (2021).

Presenters

  • Jesko Sirker

    University of Manitoba

Authors

  • Jesko Sirker

    University of Manitoba

  • Alexander Weisse

    Max-Planck Institute for Mathematics

  • Robert Gerstner

    Western University