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arXiv · 2110.10529

Scrambling and Many-Body Localization in the XXZ-Chain

Niklas Bölter·Stefan Kehrein
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Abstract

The tripartite information is an observable-independent measure for scrambling and delocalization of information. Therefore one can expect that the tripartite information is a good observable-independent indicator for distinguishing between many-body localized and delocalized regimes, which we confirm for the XXZ-chain in a random field. Specifically, we find that the tripartite information signal spreads inside a lightcone that only grows logarithmically in time in the many-body localized regime similar to the entanglement entropy. We also find that the tripartite information eventually reaches a plateau with an asymptotic value that is suppressed by strong disorder.

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Niklas Bölter, Stefan Kehrein. 2021-10-20. Scrambling and Many-Body Localization in the XXZ-Chain. https://doi.org/10.1103/physrevb.105.104202

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