{
  "annotation_id": "aa54a195-f1ec-44bb-9c4b-4272335410ab",
  "date_created": "2026-03-02T18:01:56.610000Z",
  "date_modified": "2026-03-02T18:01:56.610000Z",
  "file_hash": "e701b2f320ed84c9f1a795e61fb9ffe1138cb78c007a737bb35497dd78bbf80e",
  "private": false,
  "record": {
    "abstract": "We study the general-setting quantum geometric phase acquired by a particle\nin a vibrating cavity. Solving the two-level theory with the rotating-wave\napproximation and the SU(2) method, we obtain analytic formulae that give\nexcellent descriptions of the geometric phase, energy, and wavefunction of the\nresonating system. In particular, we observe a sudden $\\pi$-jump in the\ngeometric phase when the system is in resonance. We found similar behaviors in\nthe geometric phase of a spin-1/2 particle in a rotating magnetic field, for\nwhich we developed a geometrical model to help visualize its evolution.",
    "arxiv_id": "quant-ph/0210182",
    "authors": [
      "K. W. Yuen",
      "H. T. Fung",
      "K. M. Cheng",
      "M. -C. Chu",
      "K. Colanero"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/36/44/010",
    "title": "The quantum mechanical geometric phase of a particle in a resonant   vibrating cavity",
    "url": "https://arxiv.org/abs/quant-ph/0210182"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "42557663-1a49-4146-b7d2-8dfa822ccfb4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}