Purification and Many-Body Localization in Cold Atomic Gases

Felix Andraschko, Tilman Enss, and Jesko Sirker
Phys. Rev. Lett. 113, 217201 – Published 17 November 2014
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Abstract

We propose to observe many-body localization in cold atomic gases by realizing a Bose-Hubbard chain with binary disorder and studying its nonequilibrium dynamics. In particular, we show that measuring the difference in occupation between even and odd sites, starting from a prepared density-wave state, provides clear signatures of localization. Furthermore, we confirm as hallmarks of the many-body localized phase a logarithmic increase of the entanglement entropy in time and Poissonian level statistics. Our numerical density-matrix renormalization group calculations for infinite system size are based on a purification approach; this allows us to perform the disorder average exactly, thus producing data without any statistical noise and with maximal simulation times of up to a factor 10 longer than in the clean case.

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  • Received 16 July 2014

DOI:https://doi.org/10.1103/PhysRevLett.113.217201

© 2014 American Physical Society

Authors & Affiliations

Felix Andraschko1,2, Tilman Enss3, and Jesko Sirker1,2

  • 1Department of Physics and Research Center OPTIMAS, Technical University Kaiserslautern, D-67663 Kaiserslautern, Germany
  • 2Department of Physics and Astronomy, University of Manitoba, Winnipeg R3T 2N2, Canada
  • 3Institut für Theoretische Physik, Universität Heidelberg, D-69120 Heidelberg, Germany

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Issue

Vol. 113, Iss. 21 — 21 November 2014

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