{
  "annotation_id": "70f0db88-ca32-48fd-b25d-68c2688a36ee",
  "date_created": "2026-03-02T18:01:45.777000Z",
  "date_modified": "2026-03-02T18:01:45.777000Z",
  "file_hash": "aede58bf32fa9c4d0f6052c07931eded156c271b87f1bfae53c949e994a4901e",
  "private": false,
  "record": {
    "abstract": "In this review, we compare different descriptions of photon-number statistics\nin harmonic generation processes within quantum, classical and semiclassical\napproaches. First, we study the exact quantum evolution of the harmonic\ngeneration by applying numerical methods including those of Hamiltonian\ndiagonalization and global characteristics. We show explicitly that the\nharmonic generations can indeed serve as a source of nonclassical light. Then,\nwe demonstrate that the quasi-stationary sub-Poissonian light can be generated\nin these quantum processes under conditions corresponding to the so-called\nno-energy-transfer regime known in classical nonlinear optics. By applying\nmethod of classical trajectories, we demonstrate that the analytical\npredictions of the Fano factors are in good agreement with the quantum results.\nOn comparing second and higher harmonic generations in the no-energy-transfer\nregime, we show that the highest noise reduction is achieved in third-harmonic\ngeneration with the Fano-factor of the third harmonic equal to 13/16.",
    "arxiv_id": "quant-ph/0109075",
    "authors": [
      "Jiri Bajer",
      "Adam Miranowicz"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Advances in Chemical Physics, Vol. 119 (Wiley, New York, 2001),\n  pp. 493-515",
    "title": "Quantum, classical and semiclassical analyses of photon statistics in   harmonic generation",
    "url": "https://arxiv.org/abs/quant-ph/0109075"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9da494af-0916-403a-8861-1321121f0689",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}