{
  "annotation_id": "1538990c-6571-4b1d-9e4e-742253e55ad5",
  "date_created": "2026-03-02T18:02:00.220000Z",
  "date_modified": "2026-03-02T18:02:00.220000Z",
  "file_hash": "3ead29524079943df005bc97fa9d59b1b775002c6d6e6c9bd5f9cb338e15e52e",
  "private": false,
  "record": {
    "abstract": "Motivated by recent development in quantum entanglement, we study relations\namong concurrence $C$, SU$_q$(2) algebra, quantum phase transition and\ncorrelation length at the zero temperature for the XXZ chain. We find that at\nthe SU(2) point, the ground state possess the maximum concurrence. When the\nanisotropic parameter $\\Delta$ is deformed, however, its value decreases. Its\ndependence on $\\Delta$ scales as $C=C_0-C_1(\\Delta-1)^2$ in the XY metallic\nphase and near the critical point (i.e. $1\u003c\\Delta\u003c1.3$) of the Ising-like\ninsulating phase. We also study the dependence of $C$ on the correlation length\n$\\xi$, and show that it satisfies $C=C_0-1/2\\xi$ near the critical point. For\ndifferent size of the system, we show that there exists a universal scaling\nfunction of $C$ with respect to the correlation length $\\xi$.",
    "arxiv_id": "quant-ph/0307131",
    "authors": [
      "Shi-Jian Gu",
      "Hai-Qing Lin",
      "You-Quan Li"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.str-el"
    ],
    "doi": "10.1103/PhysRevA.68.042330",
    "journal_ref": "Phys. Rev. A 68, 042330(2003)",
    "title": "Entanglement, quantum phase transition and scaling in XXZ chain",
    "url": "https://arxiv.org/abs/quant-ph/0307131"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ee56e22c-9232-40ae-8a7f-534fdec8dea6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}