{
  "annotation_id": "897211a2-21c2-47c8-a7a5-58908f76459f",
  "date_created": "2026-03-02T18:02:47.508000Z",
  "date_modified": "2026-03-02T18:02:47.508000Z",
  "file_hash": "3272fcec245259d118f280edf96f33365a94f70f8cb3d35d97b9680a1d30053a",
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  "record": {
    "abstract": "We study the nonstationary solutions of Fokker-Planck equations associated to\neither stationary or nonstationary quantum states. In particular we discuss the\nstationary states of quantum systems with singular velocity fields. We\nintroduce a technique that allows to realize arbitrary evolutions ruled by\nthese equations, to account for controlled quantum transitions. The method is\nillustrated by presenting the detailed treatment of the transition\nprobabilities and of the controlling time-dependent potentials associated to\nthe transitions between the stationary, the coherent, and the squeezed states\nof the harmonic oscillator. Possible extensions to anharmonic systems and mixed\nstates are briefly discussed and assessed.",
    "arxiv_id": "quant-ph/9910070",
    "authors": [
      "N. Cufaro Petroni",
      "S. De Martino",
      "S. De Siena",
      "F. Illuminati"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/32/43/305",
    "journal_ref": "J. Phys. A 32, 7489-7508 (1999)",
    "title": "Controlled quantum evolutions and transitions",
    "url": "https://arxiv.org/abs/quant-ph/9910070"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "10b96769-ae81-4709-bccc-6eaa27e34ca0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}