{ "id": "1106.0276", "version": "v1", "published": "2011-06-01T18:31:02.000Z", "updated": "2011-06-01T18:31:02.000Z", "title": "Full counting statistics of energy fluctuations in a driven quantum resonator", "authors": [ "Aashish A. Clerk" ], "comment": "10 pages, 2 figures", "journal": "Phys. Rev. A 84, 043824 (2011)", "doi": "10.1103/PhysRevA.84.043824", "categories": [ "cond-mat.mes-hall", "quant-ph" ], "abstract": "We consider the statistics of time-integrated energy fluctuations of a driven bosonic resonator (as measured by a QND detector), using the standard Keldysh prescription to define higher moments. We find that due to an effective cascading of fluctuations, these statistics are surprisingly non-classical: the low-temperature, quantum probability distribution is not equivalent to the high-temperature classical distribution evaluated at some effective temperature. Moreover, for a sufficiently large drive detuning and low temperatures, the Keldysh-ordered quasi-probability distribution characterizing these fluctuations fails to be positive-definite; this is similar to the full counting statistics of charge in superconducting systems. We argue that this indicates a kind of non-classical behaviour akin to that tested by Leggett-Garg inequalities.", "revisions": [ { "version": "v1", "updated": "2011-06-01T18:31:02.000Z" } ], "analyses": { "subjects": [ "42.50.Lc", "72.70.+m" ], "keywords": [ "full counting statistics", "driven quantum resonator", "energy fluctuations", "quantum probability distribution", "define higher moments" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review A", "year": 2011, "month": "Oct", "volume": 84, "number": 4, "pages": "043824" }, "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011PhRvA..84d3824C" } } }