{
  "id": "1711.04768",
  "version": "v1",
  "published": "2017-11-13T19:00:00.000Z",
  "updated": "2017-11-13T19:00:00.000Z",
  "title": "Semiclassical Theory of Many-Body Quantum Chaos and its Bound",
  "authors": [
    "Thomas Scaffidi",
    "Ehud Altman"
  ],
  "comment": "6 pages, 3 figures",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn",
    "hep-th",
    "nlin.CD"
  ],
  "abstract": "We introduce a direct quantum-classical correspondence for the chaotic dynamics of quantum many-body systems. The bound on chaos is understood as a \"chaotic mobility edge\" in the classical Lyapunov spectrum, separating the lower part of the spectrum for which a classical chaos picture applies from the higher part of the spectrum for which quantum interference effects destroy classical chaos. The dominant chaotic mode in bound-saturating systems is exactly at the \"mobility edge\" and therefore inherits a universal critical behavior. We provide an explicit example by introducing a classical version of the Sachdev-Ye-Kitaev (SYK) model for which chaos can be understood as arising from diverging geodesics on a high-dimensional manifold with a random metric.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-13T19:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "many-body quantum chaos",
      "semiclassical theory",
      "quantum interference effects destroy",
      "interference effects destroy classical chaos",
      "chaotic mobility edge"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}