{ "id": "1903.11881", "version": "v1", "published": "2019-03-28T10:23:33.000Z", "updated": "2019-03-28T10:23:33.000Z", "title": "Perturbed relaxation of quantum many-body systems", "authors": [ "Lennart Dabelow", "Peter Reimann" ], "comment": "10 pages, 6 figures + suppl. 29 pages, 1 figure", "categories": [ "cond-mat.stat-mech", "quant-ph" ], "abstract": "Dynamical systems with many degrees of freedom are relatively well understood if they exhibit particular symmetries and conservation laws, or if they are sufficiently far from any such special situation. However, many cases of interest are somewhere in between and therefore quite resistant to a satisfying theoretical description. Here, we propose a general theory of how an isolated many-body quantum system relaxes towards its thermal long-time limit, provided it is sufficiently close to a reference case whose temporal relaxation is known. Our predictions agree very well with numerical and experimental results from the literature, which could not be quantitatively explained by any other analytical theory so far. The universality and simplicity of our main finding is akin to other basic relations in statistical physics, but with the distinctive feature of pertaining to the far-from-equilibrium realm.", "revisions": [ { "version": "v1", "updated": "2019-03-28T10:23:33.000Z" } ], "analyses": { "keywords": [ "quantum many-body systems", "perturbed relaxation", "isolated many-body quantum system relaxes", "thermal long-time limit", "general theory" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable" } } }