{ "id": "2311.14188", "version": "v1", "published": "2023-11-23T20:14:06.000Z", "updated": "2023-11-23T20:14:06.000Z", "title": "Slow propagation of information on the random XXZ quantum spin chain", "authors": [ "Alexander Elgart", "Abel Klein" ], "comment": "20 pages, no figures", "categories": [ "math-ph", "cond-mat.dis-nn", "math.MP" ], "abstract": "The random XXZ quantum spin chain manifests localization (in the form of quasi-locality) in any fixed energy interval, as previously proved by the authors. In this article it is shown that this property implies slow propagation of information, one of the putative signatures of many-body localization, in the same energy interval.", "revisions": [ { "version": "v1", "updated": "2023-11-23T20:14:06.000Z" } ], "analyses": { "subjects": [ "82B44", "82C44", "81Q10", "47B80", "60H25" ], "keywords": [ "random xxz quantum spin chain", "slow propagation", "quantum spin chain manifests localization", "xxz quantum spin chain manifests" ], "note": { "typesetting": "TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable" } } }