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Extracting many body localization lengths with an imaginary vector potential

Heußen, Sascha and White, Christopher David and Refael, Gil (2020) Extracting many body localization lengths with an imaginary vector potential. . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20200518-153736634

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Abstract

One challenge of studying the many-body localization transition is defining the length scale that diverges upon the transition to the ergodic phase. In this manuscript we explore the localization properties of a ring with onsite disorder subject to an imaginary magnetic flux. We connect the imaginary flux which delocalizes single-particle orbitals of an Anderson-localized ring with the localization length of an open chain. We thus identify the delocalizing imaginary flux per site with the inverse localization length. We put this intuition to use by exploring the phase diagram of a disordered interacting chain, and find that the inverse imaginary flux per bond provides an accessible description of the transition and its diverging localization length.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/2003.09430arXivDiscussion Paper
Additional Information:We thank Bernd Rosenow, Sarang Gopalakrishnan, and Vadim Oganesyan for many helpful conversations. GR is grateful for funding from NSF grant 1839271 as well as to the Simons Foundation, the Packard Foundation, and the IQIM, an NSF frontier center partially funded by the Gordon and Betty Moore Foundation. The authors thank FAU Erlangen-Nürnberg's Prof. Dr. Kai P. Schmidt for setting up and accompanying the team of researchers involved in this work. We gratefully acknowledge funding received by the German Academic Exchange Service. This work is partially supported by the U.S. Department of Energy (DOE), Office of Science, Office of Advanced Scientific Computing Research (ASCR) Quantum Computing Application Teams program, under fieldwork proposal number ERKJ347.
Group:UNSPECIFIED, Institute for Quantum Information and Matter
Funders:
Funding AgencyGrant Number
NSFDMR-1839271
Simons FoundationUNSPECIFIED
David and Lucile Packard FoundationUNSPECIFIED
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Deutscher Akademischer Austauschdienst (DAAD)UNSPECIFIED
Department of Energy (DOE)ERKJ347
Record Number:CaltechAUTHORS:20200518-153736634
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200518-153736634
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:103292
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:18 May 2020 23:10
Last Modified:04 Jun 2020 10:35

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