{
  "id": "1303.0741",
  "version": "v1",
  "published": "2013-03-04T15:56:22.000Z",
  "updated": "2013-03-04T15:56:22.000Z",
  "title": "Operator content of real-space entanglement spectra at conformal critical points",
  "authors": [
    "Andreas M. Läuchli"
  ],
  "comment": "6 pages, 5 figures",
  "categories": [
    "cond-mat.stat-mech",
    "hep-th",
    "quant-ph"
  ],
  "abstract": "We provide numerical evidence that the low-lying part of the entanglement spectrum of a real-space block (i.e. a single interval) of a one-dimensional quantum many body system at a conformal critical point corresponds to the energy spectrum of a boundary conformal field theory (CFT). This correspondence allows to uncover a subset of the operator content of a conformal field theory by inspection of the entanglement spectrum of a single wave function, thus providing important information on a CFT beyond its central charge. As a practical application we show that for many systems described by a compactified boson CFT, one can infer the compactification radius (governing e.g. the power law decay of correlation functions) of the theory in a simple way based on the entanglement spectrum.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-03-04T15:56:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.50.+q",
      "03.67.Mn",
      "71.10.Pm",
      "11.25.Hf"
    ],
    "keywords": [
      "entanglement spectrum",
      "real-space entanglement spectra",
      "operator content",
      "boundary conformal field theory",
      "conformal critical point corresponds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1222373,
      "adsabs": "2013arXiv1303.0741L"
    }
  }
}