{ "id": "1209.3898", "version": "v2", "published": "2012-09-18T10:06:06.000Z", "updated": "2012-11-28T20:51:35.000Z", "title": "Entanglement, fractional magnetization and long-range interactions", "authors": [ "Andrea Cadarso", "Mikel Sanz", "Michael M. Wolf", "J. Ignacio Cirac", "David Perez-Garcia" ], "comment": "11 pages, 1 figure", "journal": "Phys. Rev. B 87, 035114 (2013)", "doi": "10.1103/PhysRevB.87.035114", "categories": [ "quant-ph", "cond-mat.str-el", "math-ph", "math.MP" ], "abstract": "Based on the theory of Matrix Product States, we give precise statements and complete analytical proofs of the following claim: a large fractionalization in the magnetization or the need of long-range interactions imply large entanglement in the state of a quantum spin chain.", "revisions": [ { "version": "v2", "updated": "2012-11-28T20:51:35.000Z" } ], "analyses": { "subjects": [ "03.67.Mn", "03.65.Ud", "75.10.Pq", "71.27.+a" ], "keywords": [ "fractional magnetization", "long-range interactions imply large entanglement", "matrix product states", "quantum spin chain", "precise statements" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review B", "year": 2013, "month": "Jan", "volume": 87, "number": 3, "pages": "035114" }, "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013PhRvB..87c5114C" } } }