{
  "id": "1807.02360",
  "version": "v1",
  "published": "2018-07-06T11:24:40.000Z",
  "updated": "2018-07-06T11:24:40.000Z",
  "title": "Operator Noncommutativity and Irreversibility in Quantum Chaos",
  "authors": [
    "Ryusuke Hamazaki",
    "Kazuya Fujimoto",
    "Masahito Ueda"
  ],
  "comment": "6 pages, 4 figures (Supplemental Material: 10 pages, 3 figures)",
  "categories": [
    "cond-mat.stat-mech",
    "quant-ph"
  ],
  "abstract": "The degree of irreversibility of initially localized states in a time-reversal test is argued to be equivalent to the growth of noncommutativity of two unequal-time operators in quantum chaotic dynamics. This conjecture is tested for a quantum kicked rotor and interacting many-body systems. Our results show the dominance of three- rather than four-point out-of-time-ordered correlators for the growth of the squared commutator.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-06T11:24:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum chaos",
      "operator noncommutativity",
      "irreversibility",
      "quantum chaotic dynamics",
      "four-point out-of-time-ordered correlators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}