{ "id": "2110.10529", "version": "v3", "published": "2021-10-20T12:33:28.000Z", "updated": "2022-03-04T11:02:34.000Z", "title": "Scrambling and Many-Body Localization in the XXZ-Chain", "authors": [ "Niklas Bölter", "Stefan Kehrein" ], "comment": "Accepted version", "categories": [ "cond-mat.dis-nn", "cond-mat.str-el" ], "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.", "revisions": [ { "version": "v3", "updated": "2022-03-04T11:02:34.000Z" } ], "analyses": { "keywords": [ "many-body localization", "tripartite information signal spreads inside", "many-body localized regime similar", "scrambling", "tripartite information eventually reaches" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }