{
  "annotation_id": "fc4f2267-817c-4af3-8a4e-69560ecd673b",
  "date_created": "2026-03-02T18:02:40.983000Z",
  "date_modified": "2026-03-02T18:02:40.983000Z",
  "file_hash": "add4252accd17dd4776840a62f67fec0d19311c7e6e1da06cf9b4368c8c726d7",
  "private": false,
  "record": {
    "abstract": "We present a new theoretical method to study a trapped gas of bosonic\ntwo-level atoms interacting with a single mode of a microwave cavity. This\ninteraction is described by a trilinear Hamiltonian which is formally\ncompletely equivalent to the one describing parametric down-conversion in\nquantum optics. A system of differential equations describing the evolution,\nincluding the long-time behaviour, of not only the mean value but also the\nvariance of the number of excited atoms is derived and solved analytically. For\ndifferent initial states the mean number of excited atoms exhibits periodically\nreappearing dips, with an accompanying peak in the variance, or fractional\ncollapses and revivals. Closed expressions for the period and the revival time\nare obtained.",
    "arxiv_id": "quant-ph/9708001",
    "authors": [
      "Karl-Peter Marzlin",
      "J\"urgen Audretsch"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.57.1333",
    "journal_ref": "Phys.Rev. A57 (1998) 1333",
    "title": "Collapse and revival of ultracold atoms in a microwave cavity and of   photons in parametric down-conversion",
    "url": "https://arxiv.org/abs/quant-ph/9708001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3e5ca6a4-b788-4299-b54d-f9edb4396c29",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}