{
  "id": "quant-ph/0112060",
  "version": "v1",
  "published": "2001-12-10T15:55:18.000Z",
  "updated": "2001-12-10T15:55:18.000Z",
  "title": "Sensitivity of Quantum Motion for Classically Chaotic Systems",
  "authors": [
    "Giuliano Benenti",
    "Giulio Casati"
  ],
  "comment": "revtex, 5 pages, 5 figures",
  "journal": "Phys. Rev. E 65, 066205 (2002)",
  "doi": "10.1103/PhysRevE.65.066205",
  "categories": [
    "quant-ph",
    "cond-mat",
    "nlin.CD"
  ],
  "abstract": "We discuss the behavior of fidelity for a classically chaotic quantum system in the metallic regime. We show the existence of a critical value of the perturbation below which the exponential decay of fidelity is determined by the width of the Breit-Wigner distribution and above which the quantum decay follows the classical one which is ruled by the Lyapunov exponent. The independence of the decay {\\it rate} from the perturbation strength derives from the similarity of the quantum and classical relaxation process inside the Heisenberg time scale.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-12-10T15:55:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "classically chaotic systems",
      "quantum motion",
      "sensitivity",
      "heisenberg time scale",
      "classical relaxation process inside"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}