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arXiv · 1803.02874

Entanglement in a dephasing model and many-body localization

Marko Znidaric
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Abstract

We study entanglement dynamics in a diagonal dephasing model in which the strength of interaction decays exponentially with distance -- the so-called l-bit model of many-body localization. We calculate the exact expression for entanglement growth with time, finding in addition to a logarithmic growth, a sublogarithmic correction. Provided the l-bit picture correctly describes the many-body localized phase this implies that the entanglement in such systems does not grow (just) as a logarithm of time, as believed so far.

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Marko Znidaric. 2018-06-05. Entanglement in a dephasing model and many-body localization. https://doi.org/10.1103/physrevb.97.214202

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