{
  "id": "2408.11123",
  "version": "v1",
  "published": "2024-08-20T18:24:52.000Z",
  "updated": "2024-08-20T18:24:52.000Z",
  "title": "Notes on solvable models of many-body quantum chaos",
  "authors": [
    "Shunyu Yao"
  ],
  "comment": "16pages + appendix",
  "categories": [
    "quant-ph",
    "cond-mat.stat-mech",
    "cond-mat.str-el",
    "hep-th"
  ],
  "abstract": "We study a class of many body chaotic models related to the Brownian Sachdev-Ye-Kitaev model. An emergent symmetry maps the quantum dynamics into a classical stochastic process. Thus we are able to study many dynamical properties at finite N on an arbitrary graph structure. A comprehensive study of operator size growth with or without spatial locality is presented. We will show universal behaviors emerge at large N limit, and compare them with field theory method. We also design simple stochastic processes as an intuitive way of thinking about many-body chaotic behaviors. Other properties including entanglement growth and other variants of this solvable models are discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-08-20T18:24:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "many-body quantum chaos",
      "solvable models",
      "design simple stochastic processes",
      "arbitrary graph structure",
      "body chaotic models"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}