{
  "id": "2305.00649",
  "version": "v1",
  "published": "2023-05-01T04:17:03.000Z",
  "updated": "2023-05-01T04:17:03.000Z",
  "title": "Entanglement Entropy Bounds for Droplet States of the XXZ Model on the Strip",
  "authors": [
    "Christoph Fischbacher",
    "Lee Fisher"
  ],
  "comment": "12 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "The scaling behavior of the entanglement entropy of droplet states in Heisenberg spin-1/2 XXZ model defined on a strip of width $M$ under the presence of a non-negative background magnetic field is investigated. Without any assumptions on $V$, a logarithmically corrected area law is shown. Assuming that the values of $V$ are i.i.d. random variables, an area law in expectation is obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-05-01T04:17:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B20"
    ],
    "keywords": [
      "entanglement entropy bounds",
      "droplet states",
      "xxz model",
      "non-negative background magnetic field",
      "logarithmically corrected area law"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}