Scrambling and Many-Body Localization in the XXZ-Chain
Disordered Systems and Neural Networks
2022-03-10 v3 Strongly Correlated Electrons
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.
Keywords
Cite
@article{arxiv.2110.10529,
title = {Scrambling and Many-Body Localization in the XXZ-Chain},
author = {Niklas Bölter and Stefan Kehrein},
journal= {arXiv preprint arXiv:2110.10529},
year = {2022}
}
Comments
Accepted version