{
  "annotation_id": "853ae706-f00c-475b-91d0-4dcc6183e27e",
  "date_created": "2026-03-02T18:02:44.415000Z",
  "date_modified": "2026-03-02T18:02:44.415000Z",
  "file_hash": "ae529b2ea0fc90622f2fa54446bb203bc21ff8701b82a4ad9ed2d3061ddafd99",
  "private": false,
  "record": {
    "abstract": "For a periodic Hamiltonian, periodic dynamical invariants may be used to\nobtain non-degenerate cyclic states. This observation is generalized to the\ndegenerate cyclic states, and the relation between the periodic dynamical\ninvariants and the Floquet decompositions of the time-evolution operator is\nelucidated. In particular, a necessary condition for the occurrence of cyclic\nnon-adiabatic non-Abelian geometrical phase is derived. Degenerate cyclic\nstates are obtained for a magnetic dipole interacting with a precessing\nmagnetic field.",
    "arxiv_id": "quant-ph/9810064",
    "authors": [
      "Ali Mostafazadeh"
    ],
    "categories": [
      "quant-ph",
      "hep-th"
    ],
    "doi": "10.1088/0305-4470/31/49/015",
    "journal_ref": "J.Phys.A31:9975-9982,1998",
    "title": "Non-Abelian Geometric Phase, Floquet Theory, and Periodic Dynamical   Invariants",
    "url": "https://arxiv.org/abs/quant-ph/9810064"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7d1c0859-f02c-4909-8d5b-029ab3cd1159",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}