{
  "annotation_id": "540ab643-49b4-4457-8983-1cfdbd2ab1c9",
  "date_created": "2026-03-02T18:02:30.763000Z",
  "date_modified": "2026-03-02T18:02:30.763000Z",
  "file_hash": "7c7c6a6346cfe8ce555d77df1910fe6234dd91216b566d6cb58d36cbf3c1112e",
  "private": false,
  "record": {
    "abstract": "In this paper, we generalize the ordinary two-photon Jaynes-Cummings model\n(TPJCM) by considering the atom (or ion) to be trapped in a simple harmonic\nwell. A typical setup would be an optical cavity containing a single ion in a\nPaul trap. Due to the inclusion of atomic vibrational motion, the atom-field\ncoupling becomes highly nonlinear what brings out quite different behaviors for\nthe system dynamics when compared to the ordinary TPJCM. In particular, we\nderive an effective two-photon Hamiltonian with dependence on the number\noperator of the ion\u0027s center-of-mass motion. This dependence occurs both in the\ncavity induced Stark-shifs and in the ion-field coupling, and its role in the\ndynamics is illustrated by showing the time evolution of the probability of\noccupation of the electronic levels for simple initial preparations of the\nstate of the system.",
    "arxiv_id": "quant-ph/0608193",
    "authors": [
      "F. L. Semi\u00e3o",
      "A. Vidiella-Barranco"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1140/epjd/e2006-00243-7",
    "journal_ref": "Eur. Phys. J. D 41, 417 (2007)",
    "title": "Two-photon interaction between trapped ions and cavity fields",
    "url": "https://arxiv.org/abs/quant-ph/0608193"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "13074e58-d1a0-4a43-9fa5-1aae0980b18c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}