{ "id": "1611.03127", "version": "v1", "published": "2016-11-09T22:49:30.000Z", "updated": "2016-11-09T22:49:30.000Z", "title": "Toward a phenomenological theory of thermalization for quantum many-body systems. A Lindblad-based approach", "authors": [ "Massimo Ostilli", "Carlo Presilla" ], "categories": [ "quant-ph", "cond-mat.stat-mech", "math-ph", "math.MP" ], "abstract": "On the base of the general Lindblad equation, we build a phenomenological theory of thermalization where, assigned the environment, the Lindblad operators are determined by exploiting a few basic thermodynamic principles. Here, we specialize this procedure to the case in which the environment is a blackbody radiation and the system is a set of $N$ noninteracting atoms. For such systems, degeneracies of the energy levels and/or of the energy gaps are unavoidable, even if the spectra of each atom are nondegenerate. We show that our phenomenological approach leads to a consistent scenario for the dissipation and decoherence times, resolving a number of serious pathologies present in the popular quantum optical master equation.", "revisions": [ { "version": "v1", "updated": "2016-11-09T22:49:30.000Z" } ], "analyses": { "keywords": [ "quantum many-body systems", "phenomenological theory", "lindblad-based approach", "thermalization", "popular quantum optical master equation" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }