{ "id": "1109.2456", "version": "v2", "published": "2011-09-12T13:19:00.000Z", "updated": "2011-12-08T10:49:11.000Z", "title": "Phase transitions and dark-state physics in two-color superradiance", "authors": [ "Mathias Hayn", "Clive Emary", "Tobias Brandes" ], "comment": "9 pages, 6 figures", "journal": "Phys. Rev. A 84, 053856 (2011)", "doi": "10.1103/PhysRevA.84.053856", "categories": [ "quant-ph" ], "abstract": "We theoretically study an extension of the Dicke model, where the single-particle Hamiltonian has three energy levels in Lambda-configuration, i.e. the excited state is coupled to two non-degenerate ground states via two independent quantized light fields. The corresponding many-body Hamiltonian can be diagonalized in the thermodynamic limit with the help of a generalized Holstein--Primakoff transformation. Analyzing the ground-state energy and the excitation energies, we identify one normal and two superradiant phases, separated by phase transitions of both first and second order. A phase with both superradiant states coexisting is not stable. In addition, in the limit of two degenerate ground states a dark state emerges, which seems to be analogous to the dark state appearing in the well known stimulated Raman adiabatic passage scheme.", "revisions": [ { "version": "v2", "updated": "2011-12-08T10:49:11.000Z" } ], "analyses": { "subjects": [ "42.50.Nn", "05.30.Rt", "32.80.Qk", "32.90.+a" ], "keywords": [ "phase transitions", "dark-state physics", "two-color superradiance", "stimulated raman adiabatic passage scheme", "independent quantized light fields" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review A", "year": 2011, "month": "Nov", "volume": 84, "number": 5, "pages": "053856" }, "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011PhRvA..84e3856H" } } }