{
  "id": "2007.00735",
  "version": "v1",
  "published": "2020-07-01T20:26:57.000Z",
  "updated": "2020-07-01T20:26:57.000Z",
  "title": "Lower Bound to the Entanglement Entropy of the XXZ Spin Ring",
  "authors": [
    "Christoph Fischbacher",
    "Ruth Schulte"
  ],
  "comment": "40 pages",
  "categories": [
    "math-ph",
    "math.MP",
    "math.SP"
  ],
  "abstract": "We study the free XXZ quantum spin model defined on a ring of size $L$ and show that the bipartite entanglement entropy of eigenstates belonging to the first energy band above the vacuum ground state satisfies a logarithmically corrected area law. Along the way, we show a Combes-Thomas estimate for fiber operators which can also be applied to discrete many-particle Schr\\\"odinger operators on more general translation-invariant graphs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-01T20:26:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "xxz spin ring",
      "lower bound",
      "free xxz quantum spin model",
      "vacuum ground state satisfies",
      "bipartite entanglement entropy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 40,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}