{
  "id": "cond-mat/0608555",
  "version": "v2",
  "published": "2006-08-25T10:08:35.000Z",
  "updated": "2006-12-31T03:38:48.000Z",
  "title": "Critical Fidelity",
  "authors": [
    "Gim Seng Ng",
    "Joshua Bodyfelt",
    "Tsampikos Kottos"
  ],
  "comment": "4 pages, 3 figures. Revised and published in Phys. Rev. Lett",
  "journal": "Phys. Rev. Lett. 97, 256404 (2006)",
  "doi": "10.1103/PhysRevLett.97.256404",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.mes-hall",
    "nlin.CD"
  ],
  "abstract": "Using a Wigner Lorentzian Random Matrix ensemble, we study the fidelity, $F(t)$, of systems at the Anderson metal-insulator transition, subject to small perturbations that preserve the criticality. We find that there are three decay regimes as perturbation strength increases: the first two are associated with a gaussian and an exponential decay respectively and can be described using Linear Response Theory. For stronger perturbations $F(t)$ decays algebraically as $F(t)\\sim t^{-D_2}$, where $D_2$ is the correlation dimension of the critical eigenstates.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-12-31T03:38:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "critical fidelity",
      "anderson metal-insulator transition",
      "wigner lorentzian random matrix ensemble",
      "perturbation strength increases",
      "linear response theory"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}