{
  "id": "0805.0332",
  "version": "v2",
  "published": "2008-05-05T06:02:16.000Z",
  "updated": "2008-07-04T00:26:14.000Z",
  "title": "Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States",
  "authors": [
    "Hui Li",
    "F. D. M. Haldane"
  ],
  "comment": "4 pages, 3 figures",
  "journal": "Phys. Rev. Lett. 101, 010504 (2008)",
  "doi": "10.1103/PhysRevLett.101.010504",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We study the \"entanglement spectrum\" (a presentation of the Schmidt decomposition analogous to a set of \"energy levels\") of a many-body state, and compare the Moore-Read model wavefunction for the $\\nu$ = 5/2 fractional quantum Hall state with a generic 5/2 state obtained by finite-size diagonalization of the second-Landau-level-projected Coulomb interactions. Their spectra share a common \"gapless\" structure, related to conformal field theory. In the model state, these are the \\textit{only} levels, while in the \"generic\" case, they are separated from the rest of the spectrum by a clear \"entanglement gap\", which appears to remain finite in the thermodynamic limit. We propose that the low-lying entanglement spectrum can be used as a \"fingerprint\" to identify topological order.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-07-04T00:26:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.67.Mn",
      "05.30.Pr",
      "73.43.-f"
    ],
    "keywords": [
      "fractional quantum hall effect states",
      "non-abelian fractional quantum hall effect",
      "entanglement spectrum",
      "topological order",
      "entanglement entropy"
    ],
    "tags": [
      "journal article",
      "famous paper"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review Letters",
      "year": 2008,
      "month": "Jul",
      "volume": 101,
      "number": 1,
      "pages": "010504"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008PhRvL.101a0504L"
    }
  }
}