{ "id": "1207.2036", "version": "v4", "published": "2012-07-09T13:17:27.000Z", "updated": "2013-12-20T05:57:45.000Z", "title": "Non-Markovian dynamics in a spin star system: The failure of thermalization", "authors": [ "Zhihai Wang", "Yu Guo", "D. L. Zhou" ], "comment": "8 pages", "journal": "Eur. Phys. J. D (2013) 67: 218", "doi": "10.1140/epjd/e2013-40099-0", "categories": [ "quant-ph" ], "abstract": "In most cases, a small system weakly interacting with a thermal bath will finally reach the thermal state with the temperature of the bath. We show that this intuitive picture is not always true by a spin star model where non-Markov effect predominates in the whole dynamical process. The spin star system consists a central spin homogeneously interacting with an ensemble of identical noninteracting spins. We find that the correlation time of the bath is infinite, which implies that the bath has a perfect memory, and that the dynamical evolution of the central spin must be non- Markovian. A direct consequence is that the final state of the central spin is not the thermal state equilibrium with the bath, but a steady state which depends on its initial state.", "revisions": [ { "version": "v4", "updated": "2013-12-20T05:57:45.000Z" } ], "analyses": { "keywords": [ "non-markovian dynamics", "central spin", "spin star system consists", "thermalization", "spin star model" ], "tags": [ "journal article" ], "publication": { "journal": "European Physical Journal D", "year": 2013, "month": "Nov", "volume": 67, "number": 11, "pages": 218 }, "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013EPJD...67..218W" } } }