{
  "id": "1704.04850",
  "version": "v1",
  "published": "2017-04-17T02:20:28.000Z",
  "updated": "2017-04-17T02:20:28.000Z",
  "title": "Scrambling of Quantum Information in Quantum Many-Body Systems",
  "authors": [
    "Eiki Iyoda",
    "Takahiro Sagawa"
  ],
  "comment": "14 pages, 13 figures",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.quant-gas",
    "hep-th",
    "quant-ph"
  ],
  "abstract": "We systematically investigate scrambling (or delocalizing) processes of quantum information encoded in quantum many-body systems by using numerical exact diagonalization. As a measure of scrambling, we adopt the tripartite mutual information (TMI) that becomes negative when quantum information is delocalized. We clarify that scrambling is an independent property of integrability of Hamiltonians; TMI can be negative or positive for both integrable and non-integrable systems. This implies that scrambling is a separate concept from conventional quantum chaos characterized by non-integrability. Furthermore, we calculate TMI in disordered systems such as many-body localized (MBL) systems and the Sachdev-Ye-Kitaev (SYK) model. We find that scrambling occurs but is slow in a MBL phase, while disorder in the SYK model does not make scrambling slower but makes it smoother.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-17T02:20:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum many-body systems",
      "quantum information",
      "scrambling",
      "tripartite mutual information",
      "conventional quantum chaos"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}