{
  "annotation_id": "d9087f5b-5751-441a-9645-96d26176ae96",
  "date_created": "2026-03-02T18:02:10.230000Z",
  "date_modified": "2026-03-02T18:02:10.230000Z",
  "file_hash": "437e5846d89ebdbe42d374c0a3e280529e9bd8d542fb738a1be215957ccaf0d8",
  "private": false,
  "record": {
    "abstract": "We apply techniques of subriemannian geometry on Lie groups and of optimal\nsynthesis on 2-D manifolds to the population transfer problem in a three-level\nquantum system driven by two laser pulses, of arbitrary shape and frequency. In\nthe rotating wave approximation, we consider a nonisotropic model i.e. a model\nin which the two coupling constants of the lasers are different. The aim is to\ninduce transitions from the first to the third level, minimizing 1) the time of\nthe transition (with bounded laser amplitudes),\n  2) the energy of lasers (with fixed final time). After reducing the problem\nto real variables, for the purpose 1) we develop a theory of time optimal\nsyntheses for distributional problem on 2-D-manifolds, while for the purpose 2)\nwe use techniques of subriemannian geometry on 3-D Lie groups. The complete\noptimal syntheses are computed.",
    "arxiv_id": "quant-ph/0409022",
    "authors": [
      "Ugo Boscain",
      "Thomas Chambrion",
      "Gregoire Charlot"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Nonisotropic 3-level Quantum Systems: Complete Solutions for Minimum   Time and Minimum Energy",
    "url": "https://arxiv.org/abs/quant-ph/0409022"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c51dc610-4d4d-403b-ae9d-8898d603bdca",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}