{
  "annotation_id": "7472c1e1-3e9e-4d60-93e2-82f398d805c0",
  "date_created": "2026-03-02T18:02:44.335000Z",
  "date_modified": "2026-03-02T18:02:44.335000Z",
  "file_hash": "cfe1ef838a4aa0c1580a33f72cde9395807f9f8a72e09a2ecd3c7c35025d21a9",
  "private": false,
  "record": {
    "abstract": "The geometric phases of the cyclic states of a generalized harmonic\noscillator with nonadiabatic time-periodic parameters are discussed in the\nframework of squeezed state. It is shown that the cyclic and quasicyclic\nsqueezed states correspond to the periodic and quasiperiodic solutions of an\neffective Hamiltonian defined on an extended phase space, respectively. The\ngeometric phase of the cyclic squeezed state is found to be a phase-space area\nswept out by a periodic orbit. Furthermore, a class of cyclic states are\nexpressed as a superposition of an infinte number of squeezed states. Their\ngeometric phases are found to be independent of $\\hbar$, and equal to\n$-(n+1/2)$ times the classical nonadiabatic Hannay angle.",
    "arxiv_id": "quant-ph/9806076",
    "authors": [
      "Jie Liu",
      "Bambi Hu",
      "Baowen Li"
    ],
    "categories": [
      "quant-ph",
      "chao-dyn",
      "cond-mat",
      "nlin.CD"
    ],
    "doi": "10.1103/PhysRevA.58.3448",
    "title": "Nonadiabatic geometric phase for the cyclic evolution of a   time-dependent Hamiltonian system",
    "url": "https://arxiv.org/abs/quant-ph/9806076"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e8135cfc-3f13-4a93-9a97-78bc9d8ac8b8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}