{
  "annotation_id": "0cda2667-bcde-44bd-8159-2a4ac65610df",
  "date_created": "2026-03-02T18:01:46.033000Z",
  "date_modified": "2026-03-02T18:01:46.033000Z",
  "file_hash": "597064fdd3d31a6abd5c6f2bbbde9144ea9fc775ed7ee8df8d8ff98811c3b7cf",
  "private": false,
  "record": {
    "abstract": "We consider a class of general spin Hamiltonians of the form\n$H_s(t)=H_0(t)+H\u0027(t)$ where $H_0(t)$ and $H\u0027(t)$ describe the dipole\ninteraction of the spins with an arbitrary time-dependent magnetic field and\nthe internal interaction of the spins, respectively. We show that if $H\u0027(t)$ is\nrotationally invariant, then $H_s(t)$ admits the same dynamical invariant as\n$H_0(t)$. A direct application of this observation is a straightforward\nrederivation of the results of Yan et al [Phys. Lett. A, Vol: 251 (1999) 289\nand Vol: 259 (1999) 207] on the Heisenberg spin system in a changing magnetic\nfield.",
    "arxiv_id": "quant-ph/0107063",
    "authors": [
      "Ali Mostafazadeh"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0375-9601(01)00476-5",
    "journal_ref": "Phys. Lett. A 287 (2001) 187-189",
    "title": "On the Dynamical Invariants and the Geometric Phases for a General Spin   System in a Changing Magnetic Field",
    "url": "https://arxiv.org/abs/quant-ph/0107063"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8d1176fd-70bc-4cd3-9bb7-c61f156f2986",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}