{
  "annotation_id": "6b25fc29-8292-4cd8-914d-d829b3361785",
  "date_created": "2026-03-02T18:01:52.996000Z",
  "date_modified": "2026-03-02T18:01:52.996000Z",
  "file_hash": "3ff4aa7a50b10ba0099d82d12ee2b5a19c7a514955bef267bc08eec8bc0e8257",
  "private": false,
  "record": {
    "abstract": "We present a full quantum analysis of resonant forward four-wave mixing based\non electromagnetically induced transparency (EIT). In particular, we study the\nregime of efficient nonlinear conversion with low-intensity fields that has\nbeen predicted from a semiclassical analysis. We derive an effective nonlinear\ninteraction Hamiltonian in the adiabatic limit. In contrast to conventional\nnonlinear optics this Hamiltonian does not have a power expansion in the fields\nand the conversion length increases with the input power. We analyze the\nstationary wave-mixing process in the forward scattering configuration using an\nexact numerical analysis for up to $10^3$ input photons and compare the results\nwith a mean-field approach. Due to quantum effects, complete conversion from\nthe two pump fields into the signal and idler modes is achieved only\nasymptotically for large coherent pump intensities or for pump fields in\nfew-photon Fock states. The signal and idler fields are perfectly quantum\ncorrelated which has potential applications in quantum communication schemes.\nWe also discuss the implementation of a single-photon phase gate for continuous\nquantum computation.",
    "arxiv_id": "quant-ph/0206115",
    "authors": [
      "Mattias T. Johnsson",
      "Michael Fleischhauer"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.66.043808",
    "title": "Quantum theory of resonantly enhanced four-wave mixing: mean-field and   exact numerical solutions",
    "url": "https://arxiv.org/abs/quant-ph/0206115"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "386a7a12-98ee-405b-a8ca-c269a34c7475",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}