{ "id": "1003.3303", "version": "v2", "published": "2010-03-17T06:24:43.000Z", "updated": "2010-07-18T05:26:38.000Z", "title": "Quantum anomalies and linear response theory", "authors": [ "Itamar Sela", "James Aisenberg", "Tsampikos Kottos", "Doron Cohen" ], "comment": "8 pages, 2 figures, textual improvements (as in published version)", "journal": "J. Phys. A (FTC) 43, 332001 (2010)", "doi": "10.1088/1751-8113/43/33/332001", "categories": [ "quant-ph", "cond-mat.mes-hall" ], "abstract": "The analysis of diffusive energy spreading in quantized chaotic driven systems, leads to a universal paradigm for the emergence of a quantum anomaly. In the classical approximation a driven chaotic system exhibits stochastic-like diffusion in energy space with a coefficient $D$ that is proportional to the intensity $\\epsilon^2$ of the driving. In the corresponding quantized problem the coherent transitions are characterized by a generalized Wigner time $t_{\\epsilon}$, and a self-generated (intrinsic) dephasing process leads to non-linear dependence of $D$ on $\\epsilon^2$.", "revisions": [ { "version": "v2", "updated": "2010-07-18T05:26:38.000Z" } ], "analyses": { "keywords": [ "linear response theory", "quantum anomaly", "driven chaotic system", "quantized chaotic driven systems", "universal paradigm" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1003.3303S" } } }