{ "id": "1303.3366", "version": "v1", "published": "2013-03-14T07:21:59.000Z", "updated": "2013-03-14T07:21:59.000Z", "title": "Derivation of Lindblad master equation for the quantum Ising model interacting with a heat bath", "authors": [ "Peizhi Mai", "Shuai Yin" ], "categories": [ "cond-mat.stat-mech", "quant-ph" ], "abstract": "Starting from the Liouville-von Neumann equation, under a weak coupling limit we derive the Lindblad master equation for the one-dimensional quantum Ising model in a Markov approximation and a rotating wave approximation. We also prove that the steady solution of the Lindblad equation is the canonical distribution independent of the dissipation rate.", "revisions": [ { "version": "v1", "updated": "2013-03-14T07:21:59.000Z" } ], "analyses": { "keywords": [ "lindblad master equation", "quantum ising model interacting", "heat bath", "derivation", "liouville-von neumann equation" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1303.3366M" } } }