{
  "annotation_id": "35bd324b-6776-47be-bf38-3d2af2d8c89a",
  "date_created": "2026-03-02T18:02:02.269000Z",
  "date_modified": "2026-03-02T18:02:02.269000Z",
  "file_hash": "29d6000061dd306998b98fae445801cf760d334f7f3dd2af717028f13e80a0d0",
  "private": false,
  "record": {
    "abstract": "We study the mode entanglement in the one-dimensional Frenkel-Kontorova\nmodel, and found that behaviors of quantum entanglement are distinct before and\nafter the transition by breaking of analyticity. We show that the more extended\nthe electron is, the more entangled the corresponding state. Finally, a\nquantitative relation is given between the average square of the concurrence\nquantifying the degree of entanglement and the participation ratio\ncharacterizing the degree of localization.",
    "arxiv_id": "quant-ph/0308118",
    "authors": [
      "Xiaoguang Wang",
      "Haibin Li",
      "Bambi Hu"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.69.054303",
    "journal_ref": "Phys. Rev. A 69, 054303 (2004)",
    "title": "Mode entanglement of electrons in the one-dimensional Frenkel-Kontorova   model",
    "url": "https://arxiv.org/abs/quant-ph/0308118"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d2131852-58d4-40d6-80c9-33c13b0b5aba",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}