{ "id": "0912.1259", "version": "v2", "published": "2009-12-07T14:48:30.000Z", "updated": "2010-01-10T20:22:39.000Z", "title": "Non-Markovian quantum dynamics: local versus non-local", "authors": [ "Dariusz Chruscinski", "Andrzej Kossakowski" ], "comment": "4.5 pages; new examples are added", "journal": "Phys. Rev. Lett. 104, 070406 (2010)", "doi": "10.1103/PhysRevLett.104.070406", "categories": [ "quant-ph" ], "abstract": "We analyze non-Markovian evolution of open quantum systems. It is shown that any dynamical map representing evolution of such a system may be described either by non-local master equation with memory kernel or equivalently by equation which is local in time. These two descriptions are complementary: if one is simple the other is quite involved, or even singular, and vice versa. The price one pays for the local approach is that the corresponding generator keeps the memory about the starting point `t_0'. This is the very essence of non-Markovianity. Interestingly, this generator might be highly singular, nevertheless, the corresponding dynamics is perfectly regular. Remarkably, singularities of generator may lead to interesting physical phenomena like revival of coherence or sudden death and revival of entanglement.", "revisions": [ { "version": "v2", "updated": "2010-01-10T20:22:39.000Z" } ], "analyses": { "subjects": [ "03.65.Yz", "03.65.Ta", "42.50.Lc" ], "keywords": [ "non-markovian quantum dynamics", "non-local master equation", "open quantum systems", "analyze non-markovian evolution", "dynamical map representing evolution" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review Letters", "year": 2010, "month": "Feb", "volume": 104, "number": 7, "pages": "070406" }, "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010PhRvL.104g0406C" } } }