{ "id": "1603.07049", "version": "v1", "published": "2016-03-23T02:20:43.000Z", "updated": "2016-03-23T02:20:43.000Z", "title": "Measuring lifetime of correspondence with classical decay of correlation in quantum chaos", "authors": [ "Fumihiro Matsui", "Hiroaki S. Yamada", "Kensuke S. Ikeda" ], "comment": "6 pages, 2 figures. arXiv admin note: text overlap with arXiv:1510.00199", "journal": "Europhysics Letters 113(2016)40008", "categories": [ "cond-mat.stat-mech" ], "abstract": "A very weakly coupled linear oscillator is proposed as a detector for observing time-irreversible characteristics of a quantum system, and it is used to measure the lifetime during which a classically chaotic quantum system shows decay of correlation. Except for a particular case where the lifetime agrees with the conventional Heisenberg time, which is proportional to the Hilbert space dimension $N$, it is in general much longer: the lifetime increases in proportion to the product of $N$ and the number of superposed eigenstates, and is proportional to $N^2$ in the case of full superposition.", "revisions": [ { "version": "v1", "updated": "2016-03-23T02:20:43.000Z" } ], "analyses": { "keywords": [ "quantum chaos", "classical decay", "measuring lifetime", "correlation", "correspondence" ], "tags": [ "journal article" ], "publication": { "doi": "10.1209/0295-5075/113/40008", "journal": "EPL (Europhysics Letters)", "year": 2016, "month": "Feb", "volume": 113, "number": 4, "pages": 40008 }, "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016EL....11340008M" } } }