{ "id": "0705.4176", "version": "v2", "published": "2007-05-29T10:10:38.000Z", "updated": "2007-10-17T08:37:18.000Z", "title": "Bipartite entanglement entropy in fractional quantum Hall states", "authors": [ "O. S. Zozulya", "M. Haque", "K. Schoutens", "E. H. Rezayi" ], "comment": "12 pages, 7 figures, small corrections to table III and references added", "journal": "Physical Review B76, 125310 (2007)", "doi": "10.1103/PhysRevB.76.125310", "categories": [ "cond-mat.mes-hall" ], "abstract": "We present a detailed analysis of bipartite entanglement entropies in fractional quantum Hall (FQH) states, considering both abelian (Laughlin) and non-abelian (Moore-Read) states. We derive upper bounds for the entanglement between two subsets of the particles making up the state. We also consider the entanglement between spatial regions supporting a FQH state. Using the latter, we show how the so-called topological entanglement entropy of a FQH state can be extracted from wavefunctions for a limited number of particles.", "revisions": [ { "version": "v2", "updated": "2007-10-17T08:37:18.000Z" } ], "analyses": { "subjects": [ "73.43.-f", "03.67.Mn", "71.10.-w" ], "keywords": [ "fractional quantum hall states", "bipartite entanglement entropy", "fqh state", "derive upper bounds", "spatial regions" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review B", "year": 2007, "month": "Sep", "volume": 76, "number": 12, "pages": 125310 }, "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007PhRvB..76l5310Z" } } }