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arXiv · 2110.07384

Dynamics of Negativity of a Wannier-Stark Many-Body Localized System Coupled to a Bath

Elisabeth Wybo·Michael Knap·Frank Pollmann
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Abstract

An interacting system subjected to a strong linear potential can host a many-body localized (MBL) phase when being slightly perturbed. This so-called Wannier-Stark or `tilted-field' MBL phase inherits many properties from the well-investigated disordered MBL phase, and provides an alternative route to experimentally engineer interacting localized systems without quenched disorder. In this work, we investigate the dynamics of entanglement in a Wannier-Stark MBL system coupled to a dephasing environment. As an accessible entanglement proxy, we use the third R\'{e}nyi negativity $R_3$, which reduces to the third R\'{e}nyi entropy in case the system is isolated from the environment. This measure captures the characteristic logarithmic growth of interacting localized phases in the intermediate-time regime, where the effects of the coupling to the environment are not yet dominating the dynamics. Thus it forms a tool to distinguish Wannier-Stark MBL from non-interacting Wannier-Stark localization up to intermediate time-scales, and to quantify quantum correlations in mixed-state dynamics.

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Elisabeth Wybo, Michael Knap, Frank Pollmann. 2021-10-14. Dynamics of Negativity of a Wannier-Stark Many-Body Localized System Coupled to a Bath. https://doi.org/10.1002/pssb.202100161

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