{ "id": "1311.3314", "version": "v1", "published": "2013-11-13T21:20:14.000Z", "updated": "2013-11-13T21:20:14.000Z", "title": "On time-local generators of quantum evolution", "authors": [ "Dariusz Chruściński" ], "comment": "Lecture presented at the school \"Open Quantum Systems\", Torun, June 20-24, 2012 (30 pages)", "categories": [ "quant-ph" ], "abstract": "We present a basic introduction to the dynamics of open quantum systems based on local-in-time master equations. We characterize the properties of time-local generators giving rise to legitimate completely positive trace preserving quantum evolutions. The analysis of Markovian and non-Markovian quantum dynamics is presented as well. The whole discussion is illustrated by the family of many instructive examples.", "revisions": [ { "version": "v1", "updated": "2013-11-13T21:20:14.000Z" } ], "analyses": { "keywords": [ "non-markovian quantum dynamics", "time-local generators giving rise", "positive trace preserving quantum evolutions", "open quantum systems", "local-in-time master equations" ], "tags": [ "lecture notes" ], "note": { "typesetting": "TeX", "pages": 30, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1311.3314C" } } }