{
  "id": "2212.14472",
  "version": "v1",
  "published": "2022-12-29T22:20:58.000Z",
  "updated": "2022-12-29T22:20:58.000Z",
  "title": "On propagation of information in quantum many-body systems",
  "authors": [
    "Israel Michael Sigal",
    "Jingxuan Zhang"
  ],
  "comment": "43 pages, 5 figures",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We prove bounds on the minimal time for quantum messaging, propagation/creation of correlations, and control of states for general discrete, long-range quantum many-body systems. The proofs are based on a maximal velocity bound, which states that the many-body evolution stays, up to small leaking probability tails, within a light cone of the support of the initial conditions. This estimate is used to prove the light-cone approximation of dynamics and Lieb-Robinson-type bound.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-29T22:20:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q40",
      "81P45"
    ],
    "keywords": [
      "propagation",
      "information",
      "long-range quantum many-body systems",
      "many-body evolution stays",
      "maximal velocity bound"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 43,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}