{
  "id": "1903.04707",
  "version": "v1",
  "published": "2019-03-12T03:03:26.000Z",
  "updated": "2019-03-12T03:03:26.000Z",
  "title": "Perfect State Transfer in a Spin Chain without Mirror Symmetry",
  "authors": [
    "Gabriel Coutinho",
    "Luc Vinet",
    "Hanmeng Zhan",
    "Alexei Zhedanov"
  ],
  "comment": "6 pages",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We introduce an analytical $XX$ spin chain with asymmetrical transport properties. It has an even number $N+1$ of sites labeled by $n=0,\\cdots N$. It does not exhibit perfect state transfer (PST) from end-to-end but rather from the first site to the next to last one. In fact, PST of one-excitation states takes place between the even sites: $n\\leftrightarrow N-n-1$, $n=0,2,\\cdots, N-1$; while states localized at a single odd site undergo fractional revival (FR) over odd sites only. Perfect return is witnessed at double the PST/FR time. The couplings and local magnetic fields are related to the recurrence coefficients of the dual -1 Hahn polynomials.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-12T03:03:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81P45",
      "33C45"
    ],
    "keywords": [
      "perfect state transfer",
      "spin chain",
      "mirror symmetry",
      "odd site undergo fractional revival",
      "single odd site undergo fractional"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}