Bath-induced decay of Stark many-body localization

Ling-Na Wu; André Eckardt

doi:10.1103/physrevlett.123.030602

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arXiv · 1903.07338

Bath-induced decay of Stark many-body localization

Ling-Na Wu·André Eckardt

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Abstract

We investigate the relaxation dynamics of an interacting Stark-localized system coupled to a dephasing bath, and compare its behavior to the conventional disorder-induced many body localized system. Specifically, we study the dynamics of population imbalance between even and odd sites, and the growth of the von Neumann entropy. For a large potential gradient, the imbalance is found to decay on a time scale that grows quadratically with the Wannier-Stark tilt. For the non-interacting system, it shows an exponential decay, which becomes a stretched exponential decay in the presence of finite interactions. This is different from a system with disorder-induced localization, where the imbalance exhibits a stretched exponential decay also for vanishing interactions. As another clear qualitative difference, we do not find a logarithmically slow growth of the von-Neumann entropy as it is found for the disordered system. Our findings can immediately be tested experimentally with ultracold atoms in optical lattices.

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Ling-Na Wu, André Eckardt. 2019-03-18. Bath-induced decay of Stark many-body localization. https://doi.org/10.1103/physrevlett.123.030602

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