{
  "annotation_id": "7b5d2323-3576-455b-b0e9-222d7c430c01",
  "date_created": "2026-03-02T18:02:33.563000Z",
  "date_modified": "2026-03-02T18:02:33.563000Z",
  "file_hash": "f9efd806f70ee0e67a14d83b6dea6680b601086cd3d0a678d9e26f03a2340a51",
  "private": false,
  "record": {
    "abstract": "In this paper we show how to calculate explicitly the exponential of certain\nmatrices, which are evolution operators governing the interaction of the four\nlevel system of atoms and the radiation, etc. We present a consistent method in\nterms of the magic matrix by Makhlin.\n  As a closely related subject, we derive a closed form expression of the\nBaker-Campbell-Hausdorff formula for a class of matrices in SU(4), by use of\nthe method developed by the present authors in quant-ph/0610009.",
    "arxiv_id": "quant-ph/0701092",
    "authors": [
      "Kazuyuki Fujii"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "journal_ref": "Yokohama Math. J. 54(2007) 31-44",
    "title": "Exponentiation of certain Matrices related to the Four Level System by   use of the Magic Matrix",
    "url": "https://arxiv.org/abs/quant-ph/0701092"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "39855f82-2a5d-4dbe-9988-81b67fb76542",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}