{
  "annotation_id": "43ce5886-60f7-4a2a-ae52-0c934684cc80",
  "date_created": "2026-03-02T18:02:45.078000Z",
  "date_modified": "2026-03-02T18:02:45.078000Z",
  "file_hash": "75219640b7121c0d12e9a26cc966f7ab17ff50db4c99c3fe25e3f363c2c51e18",
  "private": false,
  "record": {
    "abstract": "This paper presents analytic formulas for various transition times in the\nLandau-Zener model. Considerable differences are found between the transition\ntimes in the diabatic and adiabatic bases, and between the jump time (the time\nfor which the transition probability rises to the region of its asymptotic\nvalue) and the relaxation time (the characteristic damping time of the\noscillations which appear in the transition probability after the crossing).\nThese transition times have been calculated by using the exact values of the\ntransition probabilities and their derivatives at the crossing point and\napproximations to the time evolutions of the transition probabilities in the\ndiabatic basis, derived earlier \\protect{[}N. V. Vitanov and B. M. Garraway,\nPhys. Rev. A {\\bf 53}, 4288 (1996)\\protect{]}, and similar results in the\nadiabatic basis, derived in the present paper.",
    "arxiv_id": "quant-ph/9811066",
    "authors": [
      "N. V. Vitanov"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.59.988",
    "title": "Transition times in the Landau-Zener model",
    "url": "https://arxiv.org/abs/quant-ph/9811066"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "09616bfa-57ad-4d61-91e0-78626573ffd6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}