{
  "id": "2011.11977",
  "version": "v1",
  "published": "2020-11-24T09:14:44.000Z",
  "updated": "2020-11-24T09:14:44.000Z",
  "title": "Entanglement Entropy Bounds in the Higher Spin XXZ Chain",
  "authors": [
    "Christoph Fischbacher",
    "Oluwadara Ogunkoya"
  ],
  "comment": "27 pages, 4 figures",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider the Heisenberg XXZ spin-$J$ chain ($J\\in\\mathbb{N}/2$) with anisotropy parameter $\\Delta$. Assuming that $\\Delta>2J$, and introducing threshold energies $E_{K}:=K\\left(1-\\frac{2J}{\\Delta}\\right)$, we show that the bipartite entanglement entropy (EE) of states belonging to any spectral subspace with energy less than $E_{K+1}$ satisfy a logarithmically corrected area law with prefactor $(2\\lfloor K/J\\rfloor-2)$. This generalizes previous results by Beaud and Warzel as well as Abdul-Rahman, Stolz and one of the authors, who covered the spin-$1/2$ case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-24T09:14:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B20"
    ],
    "keywords": [
      "higher spin xxz chain",
      "entanglement entropy bounds",
      "bipartite entanglement entropy",
      "introducing threshold energies",
      "heisenberg xxz"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}