{
  "annotation_id": "de650d30-6317-4276-8db7-8a9b7241477a",
  "date_created": "2026-03-02T18:01:49.074000Z",
  "date_modified": "2026-03-02T18:01:49.074000Z",
  "file_hash": "b5bbe97a3b9c6c6b849f115804ebe5be21308bab498362eeb7d162cdbf134920",
  "private": false,
  "record": {
    "abstract": "We construct a class of systems for which quantum dynamics can be expanded\naround a mean field approximation with essentially classical content.\n  The modulus of the quantum overlap of mean field states naturally introduces\na classical distance between classical phase points. Using this fact we\nanalytically show that the time rate of change (trc) of two neighbouring\nclassical trajectories is directly proportional to the trc of quantum\ncorrelations. Coherence loss and nonlocality effects appear as corrections to\nmean field dynamics and we show that they can be given in terms of classical\ntrajectories and generalized actions. This result is a first step in the\nconnection between quantum and classically chaotic dynamics in the same sense\nof semiclassical expansions for the density of states. We apply the results to\nthe nonintegrable (classically chaotic) version of the N-atom Jaynes-Cummings\nmodel.",
    "arxiv_id": "quant-ph/0201072",
    "authors": [
      "K. M. Fonseca-Romero",
      "M. C. Nemes",
      "J. G. Peixoto de Faria",
      "A. F. R. de Toledo Piza"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/j.physleta.2004.04.070",
    "journal_ref": "Physics Letters A 327, 129 (2004)",
    "title": "Sensitivity to Initial Conditions in Quantum Dynamics: an Analytical   Semiclassical Expansion",
    "url": "https://arxiv.org/abs/quant-ph/0201072"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2e4aba10-16e6-4ee0-a117-a221ee77043c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}