{ "id": "1803.02874", "version": "v1", "published": "2018-03-07T21:01:45.000Z", "updated": "2018-03-07T21:01:45.000Z", "title": "Entanglement in a dephasing model and many-body localization", "authors": [ "Marko Znidaric" ], "comment": "9 pages", "categories": [ "cond-mat.dis-nn", "cond-mat.str-el" ], "abstract": "We study entanglement dynamics in a diagonal dephasing model in which the strength of interaction decays exponentially with distance -- the so-called l-bit model of many-body localization. We calculate the exact expression for entanglement growth with time, finding in addition to a logarithmic growth, a sub-logarithmic correction. Provided the l-bit picture correctly describes the many-body localized phase this implies that the entanglement in such systems does not grow (just) as a logarithm of time, as believed so far.", "revisions": [ { "version": "v1", "updated": "2018-03-07T21:01:45.000Z" } ], "analyses": { "keywords": [ "many-body localization", "study entanglement dynamics", "diagonal dephasing model", "interaction decays", "l-bit model" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }