{
  "annotation_id": "d63701d4-c5b8-44d3-9b81-cf5f467944e2",
  "date_created": "2026-03-02T18:02:06.513000Z",
  "date_modified": "2026-03-02T18:02:06.513000Z",
  "file_hash": "771ff5abbebd5b483f3849a68e92c5a0a079323c453a74c8ce20b0ad3eb3a20a",
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  "record": {
    "abstract": "The geometric phases of cyclic evolutions for mixed states are discussed in\nthe framework of unitary evolution. A canonical one-form is defined whose line\nintegral gives the geometric phase which is gauge invariant. It reduces to the\nAharonov and Anandan phase in the pure state case. Our definition is consistent\nwith the phase shift in the proposed experiment [Phys. Rev. Lett. \\textbf{85},\n2845 (2000)] for a cyclic evolution if the unitary transformation satisfies the\nparallel transport condition. A comprehensive geometric interpretation is also\ngiven. It shows that the geometric phases for mixed states share the same\ngeometric sense with the pure states.",
    "arxiv_id": "quant-ph/0403070",
    "authors": [
      "Li-Bin Fu",
      "Jing-Ling Chen"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/37/11/011",
    "journal_ref": "J. Phys. A: Math. and Gen. 37, 3699 (2004)",
    "title": "Geometric Phases for Mixed States during Cyclic Evolutions",
    "url": "https://arxiv.org/abs/quant-ph/0403070"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5ab7d152-3711-4a94-b8c5-a28914fb94c6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}