{
  "annotation_id": "ef80413d-c556-4a44-bb72-7d11f8211098",
  "date_created": "2026-03-02T18:02:20.702000Z",
  "date_modified": "2026-03-02T18:02:20.702000Z",
  "file_hash": "55b6f63282e58a79a6503be8c245788f80cab4ecbb5164a97471031938aafaf5",
  "private": false,
  "record": {
    "abstract": "We study the dynamics of a two-level quantum system interacting with an\nexternal electromagnetic field periodic and quasiperiodic in time. The quantum\nevolution is described exactly by the classical equations of motion of a\ngyromagnet in a time-dependent magnetic field. We prove that this classical\nsystem is integrable as a consequence of the underlying unitary quantum\ndynamics. As a consequence, for the periodic case: i) rigorous assessment of\nthe validity of the rotating-wave approximation (RWA) becomes possible even\nbeyond the assumptions of resonance and weak coupling (the latter conditions\nare also shown to follow from the method of averaging); ii) we determine\nconditions for the realization of the quantum NOT operation beyond the RWA, by\nmeans of classical stroboscopic maps. The results bear upon areas as diverse as\nquantum optics, nuclear magnetic resonance, and quantum computation.",
    "arxiv_id": "quant-ph/0509148",
    "authors": [
      "Renato M. Angelo",
      "Walter F. Wreszinski"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.72.034105",
    "journal_ref": "Physical Review A 72, 034105 (2005)",
    "title": "Two-level quantum dynamics, integrability and unitary NOT gates",
    "url": "https://arxiv.org/abs/quant-ph/0509148"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "fc8d351b-299b-428c-a4a6-915169350d37",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}