{
  "id": "1011.0448",
  "version": "v2",
  "published": "2010-11-01T20:53:51.000Z",
  "updated": "2011-02-01T12:59:52.000Z",
  "title": "Corrections to scaling in entanglement entropy from boundary perturbations",
  "authors": [
    "Erik Eriksson",
    "Henrik Johannesson"
  ],
  "comment": "8 pages. Minor improvements and updated references. Published version",
  "journal": "J. Stat. Mech. (2011) P02008",
  "doi": "10.1088/1742-5468/2011/02/P02008",
  "categories": [
    "cond-mat.stat-mech",
    "quant-ph"
  ],
  "abstract": "We investigate the corrections to scaling of the Renyi entropies of a region of size l at the end of a semi-infinite one-dimensional system described by a conformal field theory when the corrections come from irrelevant boundary operators. The corrections from irrelevant bulk operators with scaling dimension x have been studied by Cardy and Calabrese (2010), and they found not only the expected corrections of the form l^(4-2x) but also unusual corrections that could not have been anticipated by finite-size scaling arguments alone. However, for the case of perturbations from irrelevant boundary operators we find that the only corrections that can occur to leading order are of the form l^(2-2x_b) for boundary operators with scaling dimension x_b < 3/2, and l^(-1) when x_b > 3/2. When x_b=3/2 they are of the form l^(-1)log(l). A marginally irrelevant boundary perturbation will give leading corrections going as log(l)^(-3). No unusual corrections occur when perturbing with a boundary operator.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-02-01T12:59:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "entanglement entropy",
      "irrelevant boundary operators",
      "marginally irrelevant boundary perturbation",
      "irrelevant bulk operators",
      "unusual corrections occur"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Statistical Mechanics: Theory and Experiment",
      "year": 2011,
      "month": "Feb",
      "volume": 2011,
      "number": 2,
      "pages": 2008
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011JSMTE..02..008E"
    }
  }
}