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arXiv · 1407.4251

Purification and many-body localization in cold atomic gases

F. Andraschko·T. Enss·J. Sirker
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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 non-equilibrium 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. As hallmarks of the many-body localized phase we confirm, furthermore, 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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F. Andraschko, T. Enss, J. Sirker. 2014-11-18. Purification and many-body localization in cold atomic gases. https://doi.org/10.1103/physrevlett.113.217201

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