{ "id": "0809.5113", "version": "v3", "published": "2008-09-30T04:45:13.000Z", "updated": "2009-03-05T05:59:44.000Z", "title": "Mutual Information and Boson Radius in c=1 Critical Systems in One Dimension", "authors": [ "Shunsuke Furukawa", "Vincent Pasquier", "Jun'ichi Shiraishi" ], "comment": "4.1 pages, 5 figures", "journal": "Phys. Rev. Lett. 102, 170602 (2009)", "doi": "10.1103/PhysRevLett.102.170602", "categories": [ "cond-mat.stat-mech", "cond-mat.str-el", "hep-th", "quant-ph" ], "abstract": "We study the generic scaling properties of the mutual information between two disjoint intervals, in a class of one-dimensional quantum critical systems described by the c=1 bosonic field theory. A numerical analysis of a spin-chain model reveals that the mutual information is scale-invariant and depends directly on the boson radius. We interpret the results in terms of correlation functions of branch-point twist fields. The present study provides a new way to determine the boson radius, and furthermore demonstrates the power of the mutual information to extract more refined information of conformal field theory than the central charge.", "revisions": [ { "version": "v3", "updated": "2009-03-05T05:59:44.000Z" } ], "analyses": { "subjects": [ "03.67.Mn", "75.10.Pq", "05.70.Jk", "64.70.Tg" ], "keywords": [ "mutual information", "boson radius", "branch-point twist fields", "one-dimensional quantum critical systems", "conformal field theory" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review Letters", "year": 2009, "month": "May", "volume": 102, "number": 17, "pages": 170602 }, "note": { "typesetting": "TeX", "pages": 1, "language": "en", "license": "arXiv", "status": "editable", "inspire": 798104, "adsabs": "2009PhRvL.102q0602F" } } }