{
  "annotation_id": "15781fb6-88ed-44d0-8197-63a516012bf5",
  "date_created": "2026-03-02T18:02:44.966000Z",
  "date_modified": "2026-03-02T18:02:44.966000Z",
  "file_hash": "8fa9d50b8e91f8bada74cb77ff6cbb97ef8050e0c80c25e4c8b507b533be6c7d",
  "private": false,
  "record": {
    "abstract": "We study the counterpart to the multi-photon down conversion in the quantised\nmotion of a trapped atom. The Lamb-Dicke approximation leads to a divergence of\nthe mean motional excitation in a finite interaction time for k-quantum down\nconversions with k\u003e=3, analogous to the situation in the parametric\napproximation of nonlinear optics. We show that, in contrast to the Lamb-Dicke\napproximation, the correct treatment of the overlap of the atomic\ncenter-of-mass wave function and the driving laser waves leads to a proper\ndynamics without any divergence problem. That is, the wavy nature of both\nmatter and light is an important physical property which cannot be neglected\nfor describing the motional dynamics of a trapped atom, even for small\nLamb-Dicke parameters.",
    "arxiv_id": "quant-ph/9809049",
    "authors": [
      "S. Wallentowitz",
      "W. Vogel",
      "P. L. Knight"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.59.531",
    "title": "High-order nonlinearities in the motion of a trapped atom",
    "url": "https://arxiv.org/abs/quant-ph/9809049"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8fb03444-dd19-4645-a783-85f0d5a6fe4a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}