{ "id": "1404.3649", "version": "v2", "published": "2014-04-14T16:43:04.000Z", "updated": "2015-01-05T14:17:08.000Z", "title": "Many-body physics of slow light", "authors": [ "I. E. Mazets" ], "comment": "9 pages, 4 figures", "journal": "Phys. Rev. A 90, 063837 (2014)", "doi": "10.1103/PhysRevA.90.063837", "categories": [ "quant-ph" ], "abstract": "We present a quantum theory of slow light beyond the weak probe pulse approximation. By reduction of the full Hamiltonian of the system to an effective Hamiltonian for a single quantum field we demonstrate that the concept of dark-state polaritons can be introduced even if the linearized approach is no longer valid. The developed approach allows us to study the evolution of non-classical quantum states of the polariton field.", "revisions": [ { "version": "v1", "updated": "2014-04-14T16:43:04.000Z", "abstract": "We study the properties of slow light propagating under the electromagnetically induced transparency condition in a medium consisting of a mesoscopic number of atoms (~100). This system can be mapped onto the generalized Tavis-Cummings model. The exact diagonalization of the latter's Hamiltonian yields the spectrum of dark polaritons. These fully quantum results are found to be in a good agreement with the mean-field approach.", "comment": "5 pages, 4 figures", "journal": null, "doi": null }, { "version": "v2", "updated": "2015-01-05T14:17:08.000Z" } ], "analyses": { "subjects": [ "42.50.Gy", "03.65.Aa" ], "keywords": [ "slow light", "many-body physics", "latters hamiltonian yields", "mesoscopic number", "generalized tavis-cummings model" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review A", "year": 2014, "month": "Dec", "volume": 90, "number": 6, "pages": "063837" }, "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014PhRvA..90f3837M" } } }