Evidence for unbounded growth of the number entropy in many-body localized phases

2020/03/24 by Maximilian Kiefer-Emmanouilidis, Razmik Unanyan, Michael Fleischhauer +1 · 1 citation
Physics and Astronomy · #cond-mat.dis-nn #cond-mat.quant-gas #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.124.243601

published as Phys. Rev. Lett. 124, 243601 (2020)

arxiv created 2020/03/24 · arxiv updated 2020/06/18

Abstract

We investigate the number entropy S_N---which characterizes particle-number fluctuations between subsystems---following a quench in one-dimensional interacting many-body systems with potential disorder. We find evidence that in the regime which is expected to show many-body localization (MBL) and where the entanglement entropy grows as S∼ ln t as function of time t, the number entropy grows as S_N∼lnln t, indicating continuing particle transport at a very slow rate. We demonstrate that this growth is consistent with a relation between entanglement and number entropy recently established for non-interacting systems.

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