{
  "id": "math-ph/0412058",
  "version": "v3",
  "published": "2004-12-16T14:17:47.000Z",
  "updated": "2005-03-24T16:59:06.000Z",
  "title": "Quantum Variance and Ergodicity for the baker's map",
  "authors": [
    "Mirko Degli Esposti",
    "Stéphane Nonnenmacher",
    "Brian Winn"
  ],
  "journal": "Communications in Mathematical Physics 263, Number 2 (2006) 325 - 352",
  "doi": "10.1007/s00220-005-1397-3",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We prove a Egorov theorem, or quantum-classical correspondence, for the quantised baker's map, valid up to the Ehrenfest time. This yields a logarithmic upper bound for the decay of the quantum variance, and, as a corollary, a quantum ergodic theorem for this map.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2005-03-24T16:59:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.45.Mt"
    ],
    "keywords": [
      "quantum variance",
      "ergodicity",
      "quantum ergodic theorem",
      "logarithmic upper bound",
      "quantised bakers map"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "Commun. Math. Phys."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}