{ "id": "quant-ph/0303027", "version": "v1", "published": "2003-03-05T17:00:50.000Z", "updated": "2003-03-05T17:00:50.000Z", "title": "About non-positive evolutions in open system dynamics", "authors": [ "F. Benatti", "R. Floreanini", "M. Piani" ], "comment": "13 pages, plain-TeX", "doi": "10.1103/PhysRevA.67.042110", "categories": [ "quant-ph" ], "abstract": "The long-time evolution of a system in interaction with an external environment is usually described by a family of linear maps g_t, generated by master equations of Block-Redfield type. These maps are in general non-positive; a widely adopted cure for this physical inconsistency is to restrict the domain of definition of the dynamical maps to those states for which g_t remains positive. We show that this prescription has to be modified when two systems are immersed in the same environment and evolve with the factorized dynamics g_t x g_t starting from an entangled initial state.", "revisions": [ { "version": "v1", "updated": "2003-03-05T17:00:50.000Z" } ], "analyses": { "keywords": [ "open system dynamics", "non-positive evolutions", "entangled initial state", "block-redfield type", "external environment" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. A" }, "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable" } } }