{ "id": "cond-mat/0207290", "version": "v3", "published": "2002-07-11T13:20:36.000Z", "updated": "2003-03-06T11:12:29.000Z", "title": "Quantum Chaos Triggered by Precursors of a Quantum Phase Transition: The Dicke Model", "authors": [ "C. Emary", "T. Brandes" ], "comment": "4 pages, 5 figures, minor changes, Journal ref. added", "journal": "Phys.Rev.Lett.90:044101,2003", "doi": "10.1103/PhysRevLett.90.044101", "categories": [ "cond-mat.mes-hall", "cond-mat.dis-nn", "quant-ph" ], "abstract": "We consider the Dicke Hamiltonian, a simple quantum-optical model which exhibits a zero-temperature quantum phase transition. We present numerical results demonstrating that at this transition the system changes from being quasi-integrable to quantum chaotic. By deriving an exact solution in the thermodynamic limit we relate this phenomenon to a localisation-delocalisation transition in which a macroscopic superposition is generated. We also describe the classical analogues of this behaviour.", "revisions": [ { "version": "v3", "updated": "2003-03-06T11:12:29.000Z" } ], "analyses": { "subjects": [ "73.43.Nq", "42.50.Fx", "05.45.Mt" ], "keywords": [ "quantum chaos", "dicke model", "precursors", "zero-temperature quantum phase transition", "system changes" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. Lett." }, "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "inspire": 808227 } } }