{
  "annotation_id": "5d1da9dc-405a-41f6-b3a2-51ac7baf171d",
  "date_created": "2026-03-02T18:02:03.667000Z",
  "date_modified": "2026-03-02T18:02:03.667000Z",
  "file_hash": "2489439503310035ad5cb5e25afb9e879ae8ad09e4afedecc6f6c899e64364d2",
  "private": false,
  "record": {
    "abstract": "The nonadiabatic transition probabilities in the two-level systems are\ncalculated analytically by using the monodromy matrix determining the global\nfeature of the underlying differential equation. We study the time-dependent\n2x2 Hamiltonian with the tanh-type plus sech-type energy difference and with\nconstant off-diagonal elements as an example to show the efficiency of the\nmonodromy approach. The application of this method to multi-level systems is\nalso discussed.",
    "arxiv_id": "quant-ph/0309075",
    "authors": [
      "T. Kato",
      "K. Nakamura",
      "M. Lakshmanan"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/36/21/309",
    "journal_ref": "J. Phys. A: Math. Gen. 36 (2003) 5803-5815",
    "title": "Analytic calculation of nonadiabatic transition probabilities from   monodromy of differential equations",
    "url": "https://arxiv.org/abs/quant-ph/0309075"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "55399531-b027-4348-a8cc-e4c13406cbcb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}