{
  "id": "1602.06542",
  "version": "v1",
  "published": "2016-02-21T15:54:03.000Z",
  "updated": "2016-02-21T15:54:03.000Z",
  "title": "Scrambling without chaos in RCFT",
  "authors": [
    "Pawel Caputa",
    "Tokiro Numasawa",
    "Alvaro Veliz-Osorio"
  ],
  "comment": "6 pages, 2 figures",
  "categories": [
    "hep-th",
    "cond-mat.str-el",
    "quant-ph"
  ],
  "abstract": "In this letter we investigate measures of chaos and entanglement scrambling in rational conformal field theories in 1+1 dimensions. First, we derive a formula for the late time value of the out-of-time-order correlators for these class of theories. Our universal result can be expressed as a particular combination of the modular S-matrix elements known as anyon monodromy scalar. Next, in the explicit setup of a $SU(N)_k$ WZW model, we compare the late time behaviour of the out-of-time correlators and the purity. Interestingly, in the large-c limit, the purity grows logarithmically but the out-of-time-order correlators remain constant. Therefore, we find that some systems may display entanglement scrambling in the absence of chaos.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-21T15:54:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "rational conformal field theories",
      "out-of-time-order correlators remain constant",
      "modular s-matrix elements",
      "late time value",
      "anyon monodromy scalar"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160206542C",
      "inspire": 1422814
    }
  }
}