{
  "id": "0708.2779",
  "version": "v2",
  "published": "2007-08-21T08:36:22.000Z",
  "updated": "2007-12-13T18:09:54.000Z",
  "title": "A Survey on the Classical Limit of Quantum Dynamical Entropies",
  "authors": [
    "Valerio Cappellini"
  ],
  "comment": "LaTeX, 21 pages, Presented at the 3rd Workshop on Quantum Chaos and Localization Phenomena, Warsaw, Poland, May 25-27, 2007",
  "journal": "Acta Phys. Polon. A 112(4), 589-605 (2007)",
  "categories": [
    "math-ph",
    "math.DS",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "We analyze the behavior of quantum dynamical entropies production from sequences of quantum approximants approaching their (chaotic) classical limit. The model of the quantized hyperbolic automorphisms of the 2-torus is examined in detail and a semi-classical analysis is performed on it using coherent states, fulfilling an appropriate dynamical localization property. Correspondence between quantum dynamical entropies and the Kolmogorov-Sinai invariant is found only over time scales that are logarithmic in the quantization parameter.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-12-13T18:09:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81Q50",
      "37N20",
      "46L99",
      "81Q20",
      "37D20",
      "81R30"
    ],
    "keywords": [
      "classical limit",
      "quantum dynamical entropies production",
      "appropriate dynamical localization property",
      "kolmogorov-sinai invariant",
      "quantum approximants"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Acta Physica Polonica A",
      "year": 2007,
      "month": "Oct",
      "volume": 112,
      "number": 4,
      "pages": 589
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007AcPPA.112..589C"
    }
  }
}