{
  "annotation_id": "68390ba5-f3e7-44d7-ae32-36bbc5477a6a",
  "date_created": "2026-03-02T18:02:37.248000Z",
  "date_modified": "2026-03-02T18:02:37.248000Z",
  "file_hash": "87d4c05dfb556987f51803e1b0a85c82c1c0cc2976210a23ba688dbb73032647",
  "private": false,
  "record": {
    "abstract": "The coherent state representations of the group $G = W_1 \\otimes G_0$ (where\n$G_0 = SU(2), SU(1,1)$) are used in computer simulation of the dynamics of\nsingle two-level atom $(G_0 = SU(2))$ interacting with a quantized photon\ncavity mode - the Jaynes - Cummings model (JCM) without the rotating wave\napproximation and, in general, nonlinear in photon variables). The second case\n(hyperbolic Jaynes - Cummings model (HJCM), $G_0 = SU(1,1))$ corresponds to the\nquantum dynamics of quadratic nonlinear coupled oscillators (the parametric\nresonance on double field frequency and a three - wave parametric processes of\nnonlinear optics). Quasiclassical dynamical equations for parameters of\napproximately factorizable coherent states for these models are derived and\nregimes of motion for \"atom\" and field variables are analyzed.",
    "arxiv_id": "quant-ph/9702016",
    "authors": [
      "Alexander V. Gorokhov",
      "Elena V. Rogacheva",
      "Alexander V. Shiryaev"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Regular and Chaotic Coherent State Dynamics of Several Quantum Optical   Models",
    "url": "https://arxiv.org/abs/quant-ph/9702016"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "470c5f28-c1d2-4336-befc-a30a777a2598",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}