Absence of slow particle transport in the many-body localized phase

David J. Luitz, Yevgeny Bar Lev

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Abstract

We analyze the saturation value of the bipartite entanglement and number entropy starting from a random product state deep in the MBL phase. By studying the probability distributions of these entropies we find that the growth of the saturation value of the entanglement entropy stems from a significant reshuffling of the weight in the probability distributions from the bulk to the exponential tails. In contrast, the probability distributions of the saturation value of the number entropy are converged with system size, and exhibit a sharp cut-off for values of the number entropy which correspond to one particle fluctuating across the boundary between the two halves of the system. Our results therefore rule out slow particle transport deep in the MBL phase and confirm that the slow entanglement entropy production stems uniquely from configurational entanglement.
Original languageEnglish GB
Article number100202
JournalPhysical Review B
Volume102
Issue number10
DOIs
StatePublished - 27 Jul 2020

Keywords

  • cond-mat.dis-nn
  • cond-mat.quant-gas

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