{
  "annotation_id": "d5a41fbb-879f-4402-af63-5e3d1130ea9b",
  "date_created": "2026-03-02T18:02:31.050000Z",
  "date_modified": "2026-03-02T18:02:31.050000Z",
  "file_hash": "98e621f10d28721b7bce8f631cde187e92f210aaafd73a8f5d3fb90872125248",
  "private": false,
  "record": {
    "abstract": "The gauge invariance of geometric phases for mixed states is analyzed by\nusing the hidden local gauge symmetry which arises from the arbitrariness of\nthe choice of the basis set defining the coordinates in the functional space.\nThis approach gives a reformulation of the past results of adiabatic,\nnon-adiabatic and mixed state geometric phases. The geometric phases are\nidentified uniquely as the holonomy associated with the hidden local gauge\nsymmetry which is an exact symmetry of the Schr\\\"{o}dinger equation. The\npurification and its inverse in the description of de-coherent mixed states are\nconsistent with the hidden local gauge symmetry. A salient feature of the\npresent formulation is that the total phase and visibility in the mixed state,\nwhich are directly observable in the interference experiment, are manifestly\ngauge invariant.",
    "arxiv_id": "quant-ph/0610170",
    "authors": [
      "Kazuo Fujikawa"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.mes-hall",
      "hep-th"
    ],
    "doi": "10.1016/j.aop.2006.10.003",
    "journal_ref": "AnnalsPhys.322:1500-1517,2007",
    "title": "Geometric phases for mixed states and decoherence",
    "url": "https://arxiv.org/abs/quant-ph/0610170"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a3b74b6e-440f-4707-84f8-d56659ee224a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}