{ "id": "1510.01985", "version": "v1", "published": "2015-10-07T15:27:15.000Z", "updated": "2015-10-07T15:27:15.000Z", "title": "Diagrammatic description of a quantum system coupled to strong noise", "authors": [ "Michael Marthaler", "Juha Leppäkangas" ], "comment": "8 pages", "categories": [ "cond-mat.mes-hall", "quant-ph" ], "abstract": "We study a system-bath description in the strong coupling regime, where it is not possible to derive a master equation for the reduced density matrix by a direct expansion in the system-bath coupling. A particular example is a bath with significant spectral weight at low frequencies. Through an unitary transformation it can be possible to find a more suitable small expansion parameter. Within this approach we construct a formally exact expansion of the master equation on the Keldysh contour. The lowest-order expansion is similar to the so-called $P(E)$-theory or non-interacting blip approximation (NIBA). The analysis of the higher-order contributions shows that there are two different classes of higher-order diagrams. We study how the form of the spectral function affects their convergence.", "revisions": [ { "version": "v1", "updated": "2015-10-07T15:27:15.000Z" } ], "analyses": { "keywords": [ "quantum system", "strong noise", "diagrammatic description", "master equation", "significant spectral weight" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv151001985M" } } }