{ "id": "0802.1981", "version": "v2", "published": "2008-02-14T09:13:50.000Z", "updated": "2008-03-31T14:13:24.000Z", "title": "Exact stochastic simulation of dissipation and non-Markovian effects in open quantum systems", "authors": [ "Denis Lacroix" ], "comment": "accepted for publication in Physical Review E", "doi": "10.1103/PhysRevE.77.041126", "categories": [ "quant-ph", "cond-mat.stat-mech", "nucl-th" ], "abstract": "The exact dynamics of a system coupled to an environment can be described by an integro-differential stochastic equation of its reduced density. The influence of the environment is incorporated through a mean-field which is both stochastic and non-local in time and where the standard two-times correlation functions of the environment appear naturally. Since no approximation is made, the presented theory incorporates exactly dissipative and non-Markovian effects. Applications to the spin-boson model coupled to a heat-bath with various coupling regimes and temperature show that the presented stochastic theory can be a valuable tool to simulate exactly the dynamics of open quantum systems. Links with stochastic Schroedinger equation method and possible extensions to \"imaginary time\" propagation are discussed.", "revisions": [ { "version": "v2", "updated": "2008-03-31T14:13:24.000Z" } ], "analyses": { "subjects": [ "05.70.Ln", "03.65.Yz", "05.10.Gg" ], "keywords": [ "open quantum systems", "exact stochastic simulation", "non-markovian effects", "dissipation", "standard two-times correlation functions" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review E", "year": 2008, "month": "Apr", "volume": 77, "number": 4, "pages": "041126" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008PhRvE..77d1126L" } } }