{
  "id": "2208.02416",
  "version": "v1",
  "published": "2022-08-04T02:53:39.000Z",
  "updated": "2022-08-04T02:53:39.000Z",
  "title": "Decay of multi-point correlation functions in $\\mathbb{Z}^d$",
  "authors": [
    "Rui Han",
    "Fan Yang"
  ],
  "comment": "Comments welcome!",
  "categories": [
    "math-ph",
    "cond-mat.stat-mech",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "We prove multi-point correlation bounds in $\\mathbb{Z}^d$ for arbitrary $d\\geq 1$ with symmetrized distances, answering open questions proposed by Sims-Warzel \\cite{SW} and Aza-Bru-Siqueira Pedra \\cite{ABP}. As applications, we prove multi-point correlation bounds for the Ising model on $\\mathbb{Z}^d$, and multi-point dynamical localization in expectation for uniformly localized disordered systems, which provides the first examples of this conjectured phenomenon by Bravyi-K\\\"onig \\cite{BK}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-08-04T02:53:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "multi-point correlation functions",
      "multi-point correlation bounds",
      "answering open questions",
      "aza-bru-siqueira pedra",
      "multi-point dynamical localization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}