{
  "annotation_id": "cbc3ec97-f01e-47fd-b9f2-bc612c0dd38d",
  "date_created": "2026-03-02T18:01:49.153000Z",
  "date_modified": "2026-03-02T18:01:49.153000Z",
  "file_hash": "3ea35cb13110d9a98b2afe43028144191b51f52cd7c48c822264c91f95a103fd",
  "private": false,
  "record": {
    "abstract": "The problem of identifying the dynamical Lie algebras of finite-level quantum\nsystems subject to external control is considered, with special emphasis on\nsystems that are not completely controllable. In particular, it is shown that\nthe dynamical Lie algebra for an N-level system with equally spaced energy\nlevels and uniform transition dipole moments, is a subalgebra for $so(N)$ if\n$N=2\\ell+1$, and a subalgebra of $sp(\\ell)$ if $N=2\\ell$. General conditions\nfor obtaining either $so(2\\ell+1)$ or $sp(\\ell)$ are established.",
    "arxiv_id": "quant-ph/0203104",
    "authors": [
      "S. G. Schirmer",
      "I. C. H. Pullen",
      "A. I. Solomon"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/35/9/319",
    "journal_ref": "J. Phys. A, 35 (2002), 2327",
    "title": "Identification of dynamical Lie algebras for finite-level quantum   control systems",
    "url": "https://arxiv.org/abs/quant-ph/0203104"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e852f408-31ba-4b66-9b32-17aa47b367b3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}