{ "id": "0806.0941", "version": "v1", "published": "2008-06-05T10:24:18.000Z", "updated": "2008-06-05T10:24:18.000Z", "title": "Photon localization and Dicke superradiance in atomic gases", "authors": [ "E. Akkermans", "A. Gero", "R. Kaiser" ], "comment": "4 pages, 5 figures", "journal": "Phys. Rev. Lett. 101, 103602 (2008)", "doi": "10.1103/PhysRevLett.101.103602", "categories": [ "cond-mat.mes-hall" ], "abstract": "Photon propagation in a gas of N atoms is studied using an effective Hamiltonian describing photon mediated atomic dipolar interactions. The density P(\\Gamma) of photon escape rates is determined from the spectrum of the N x N random matrix \\Gamma_{ij} = \\sin (x_{ij}) / x_{ij}, where x_{ij} is the dimensionless random distance between any two atoms. Varying disorder and system size, a scaling behavior is observed for the escape rates. It is explained using microscopic calculations and a stochastic model which emphasizes the role of cooperative effects in photon localization and provides an interesting relation with statistical properties of \"small world networks\".", "revisions": [ { "version": "v1", "updated": "2008-06-05T10:24:18.000Z" } ], "analyses": { "subjects": [ "42.50.Nn", "42.25.Dd", "72.15.Rn", "87.23.Ge" ], "keywords": [ "photon localization", "dicke superradiance", "atomic gases", "describing photon mediated atomic", "hamiltonian describing photon" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review Letters", "year": 2008, "month": "Sep", "volume": 101, "number": 10, "pages": 103602 }, "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008PhRvL.101j3602A" } } }