{
  "annotation_id": "100bab18-c701-4280-b18e-b5fab7c9dadf",
  "date_created": "2026-03-02T18:02:13.081000Z",
  "date_modified": "2026-03-02T18:02:13.081000Z",
  "file_hash": "9dbd71d5e4754d9b6c06c8f42f50090d35099898a2da91d77251a1cc02e61485",
  "private": false,
  "record": {
    "abstract": "We study the pairwise concurrences, a measure of entanglement, of the ground\nstates for the frustrated Heisenberg ring to explore the relation between\nentanglement and quantum phase transition associated with the momentum jump.\nThe groundstate concurrences between any two sites are obtained analytically\nand numerically. It shows that the summation of all possible pairwise\nconcurrences is an appropriate candidate to depict the phase transition. We\nalso investigate the role that the momentum takes in the jump of concurrence at\nthe critical points. We find that an abrupt momentum change rusults in the\nmaximal concurrence difference of two degenerate ground states.",
    "arxiv_id": "quant-ph/0502121",
    "authors": [
      "Xiao-Feng Qian",
      "Tao Shi",
      "Ying Li",
      "Zhi Song",
      "Chang-Pu Sun"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.str-el"
    ],
    "doi": "10.1103/PhysRevA.72.012333",
    "journal_ref": "Phys. Rev. A 72, 012333 (2005)",
    "title": "Characterizing entanglement by momentum-jump in the frustrated   Heisenberg ring at quantum phase transition",
    "url": "https://arxiv.org/abs/quant-ph/0502121"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9db8abab-88c4-4c37-a96f-a6aea7ce7637",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}