{
  "id": "cond-mat/0107552",
  "version": "v1",
  "published": "2001-07-26T15:44:15.000Z",
  "updated": "2001-07-26T15:44:15.000Z",
  "title": "From quantum disorder to quantum chaos",
  "authors": [
    "I. V. Gornyi",
    "A. D. Mirlin"
  ],
  "comment": "15 pages, no figures. Contribution to a special issue of J. Low Temp. Phys. dedicated to Peter Woelfle's 60th birthday",
  "journal": "J. Low Temp. Phys., 126, 1339 (2002)",
  "doi": "10.1023/A:1013848220378",
  "categories": [
    "cond-mat.mes-hall",
    "nlin.CD"
  ],
  "abstract": "We study the statistics of wave functions in a ballistic chaotic system. The statistical ensemble is generated by adding weak smooth random potential, which allows us to apply the ballistic $\\sigma$-model approach. We analyze conditions of applicability of the $\\sigma$-model, emphasizing the role played by the single-particle mean free path and the Lyapunov exponent due to the random potential. In particular, we present a resolution of the puzzle of repetitions of periodic orbits counted differently by the $\\sigma$-model and by the trace formula.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-07-26T15:44:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum chaos",
      "quantum disorder",
      "adding weak smooth random potential",
      "single-particle mean free path",
      "ballistic chaotic system"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "Low Temp. Phys."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001cond.mat..7552G"
    }
  }
}