{
  "id": "cond-mat/0408240",
  "version": "v2",
  "published": "2004-08-11T10:01:38.000Z",
  "updated": "2005-03-22T07:27:26.000Z",
  "title": "The twilight zone in the parametric evolution of eigenstates: beyond perturbation theory and semiclassics",
  "authors": [
    "J. A. Mendez-Bermudez",
    "Tsampikos Kottos",
    "Doron Cohen"
  ],
  "comment": "4 pages, 4 figures, improved version",
  "journal": "Phys. Rev. E 72, 027201 (2005)",
  "doi": "10.1103/PhysRevE.72.027201",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "Considering a quantized chaotic system, we analyze the evolution of its eigenstates as a result of varying a control parameter. As the induced perturbation becomes larger, there is a crossover from a perturbative to a non-perturbative regime, which is reflected in the structural changes of the local density of states. For the first time the {\\em full} scenario is explored for a physical system: an Aharonov-Bohm cylindrical billiard. As we vary the magnetic flux, we discover an intermediate twilight regime where perturbative and semiclassical features co-exist. This is in contrast with the {\\em simple} crossover from a Lorentzian to a semicircle line-shape which is found in random-matrix models.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-03-22T07:27:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "perturbation theory",
      "parametric evolution",
      "twilight zone",
      "eigenstates",
      "semiclassics"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}