{
  "annotation_id": "6a0c8614-486f-4731-a135-7f0e516cf5e2",
  "date_created": "2026-03-02T18:02:10.067000Z",
  "date_modified": "2026-03-02T18:02:10.067000Z",
  "file_hash": "717fc93c032e46b79f95bd7a10204ad4f28a03a515cc4cdf656efa491f7aebf8",
  "private": false,
  "record": {
    "abstract": "Complete description of the classical and quantum dynamics of a particle in\nan anisotropic, rotating, harmonic trap is given. The problem is studied in\nthree dimensions and no restrictions on the geometry are imposed. In the\ngeneric case, for an arbitrary orientation of the rotation axis, there are two\nregions of instability with different characteristics. The analysis of the\nquantum-mechanical problem is made simple due to a direct connection between\nthe classical mode vectors and the quantum-mechanical wave functions. This\nconnection is obtained via the matrix Riccati equation that governs the time\nevolution of squeezed states of the harmonic oscillator. It is also shown that\nthe inclusion of gravity leads to a resonant behavior -- the particles are\nexpelled from the trap.",
    "arxiv_id": "quant-ph/0409070",
    "authors": [
      "Tomasz Sowinski",
      "Iwo Bialynicki-Birula"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Harmonic oscillator in a rotating trap: Complete solution in 3D",
    "url": "https://arxiv.org/abs/quant-ph/0409070"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3ecaec8b-ee03-475c-98ba-ab789a6defd8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}