{
  "annotation_id": "3eee087c-e70a-488a-b7d2-cfd9a5659bb2",
  "date_created": "2026-03-02T18:01:49.502000Z",
  "date_modified": "2026-03-02T18:01:49.502000Z",
  "file_hash": "cac097d377c733645a86cd1d0bf337e773f3509a8570e39ca2a69eb5fa8ee8bc",
  "private": false,
  "record": {
    "abstract": "In this paper we generalize the Jaynes--Cummings Hamiltonian by making use of\nsome operators based on Lie algebras su(1,1) and su(2), and study a\nmathematical structure of Rabi floppings of these models in the strong coupling\nregime. We show that Rabi frequencies are given by matrix elements of\ngeneralized coherent operators (quant--ph/0202081) under the rotating--wave\napproximation.\n  In the first half we make a general review of coherent operators and\ngeneralized coherent ones based on Lie algebras su(1,1) and su(2). In the\nlatter half we carry out a detailed examination of Frasca (quant--ph/0111134)\nand generalize his method, and moreover present some related problems.\n  We also apply our results to the construction of controlled unitary gates in\nQuantum Computation. Lastly we make a brief comment on application to Holonomic\nQuantum Computation.",
    "arxiv_id": "quant-ph/0203135",
    "authors": [
      "Kazuyuki Fujii"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1088/0305-4470/36/8/309",
    "journal_ref": "J.Phys.A36:2109-2124,2003",
    "title": "Mathematical Structure of Rabi Oscillations in the Strong Coupling   Regime",
    "url": "https://arxiv.org/abs/quant-ph/0203135"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2b198315-87df-48a7-8e5e-f822e39f8c8a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}