{
  "annotation_id": "42200b8d-e9c7-4379-a1ed-390c9101b515",
  "date_created": "2026-03-02T18:02:41.735000Z",
  "date_modified": "2026-03-02T18:02:41.735000Z",
  "file_hash": "73a2ccd95a498eff441d30d7a31c6dc38924730cfea74dfe7bc18d3b6daa6a99",
  "private": false,
  "record": {
    "abstract": "We establish a fluctuation-correlation theorem by relating the quantum\nfluctuations in the generator of the parameter change to the time integral of\nthe quantum correlation function between the projection operator and force\noperator of the ``fast\u0027\u0027 system. By taking a cue from linear response theory we\nrelate the quantum fluctuation in the generator to the generalised\nsusceptibility. Relation between the open-path geometric phase, diagonal\nelements of the quantum metric tensor and the force-force correlation function\nis provided and the classical limit of the fluctuation-correlation theorem is\nalso discussed.",
    "arxiv_id": "quant-ph/9804003",
    "authors": [
      "Arun K. Pati"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.60.121",
    "title": "Fluctuation, time-correlation function and geometric Phase",
    "url": "https://arxiv.org/abs/quant-ph/9804003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ec93cd7b-258f-445b-ba67-e50713920d02",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}