{
  "id": "cond-mat/0310429",
  "version": "v1",
  "published": "2003-10-17T18:52:28.000Z",
  "updated": "2003-10-17T18:52:28.000Z",
  "title": "The Ehrenfest Oscillations in The Level Statistics of Chaotic Quantum Dots",
  "authors": [
    "Chushun Tian",
    "Anatoly I. Larkin"
  ],
  "comment": "20 pages, 4 figures, submitted to Phys. Rev. B",
  "doi": "10.1103/PhysRevB.70.035305",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We study a crossover from classical to quantum picture in the electron energy statistics in a system with broken time-reversal symmetry. The perturbative and nonperturbative parts of the two level correlation function, $R(\\omega)$ are analyzed. We find that in the intermediate region, $\\Delta\\ll\\omega\\sim t_E^{-1}\\ll t_{erg}^{-1}$, where $t_E$ and $t_{erg}$ are the Ehrenfest and ergodic times, respectively, $R(\\omega)$ consists of a series of oscillations with the periods depending on $t_E$, deviating from the universal Wigner-Dyson statistics. These Ehrenfest oscillations have the period dependence as $t_E^{-1}$ in the perturbative part. [For systems with time-reversal symmetry, this oscillation in the perturbative part of $R(\\omega)$ was studied in an earlier work (I. L. Aleiner and A. I. Larkin, Phys. Rev. E {\\bf 55}, R1243 (1997))]. In the nonperturbative part they have the period dependence as $(\\Delta^{-1}+\\alpha t_E)^{-1}$ with $\\alpha$ a universal numerical factor. The amplitude of the leading order Ehrenfest oscillation in the nonperturbative part is larger than that of the perturbative part.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-10-17T18:52:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "chaotic quantum dots",
      "level statistics",
      "nonperturbative part",
      "period dependence",
      "level correlation function"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}