{
  "annotation_id": "1140878d-d5cb-4009-b170-d7602abb3902",
  "date_created": "2026-03-02T18:02:37.839000Z",
  "date_modified": "2026-03-02T18:02:37.839000Z",
  "file_hash": "df56c14af6aa77f2960cdd392d5c515ce4451bb76080529ec383c5b903fe824a",
  "private": false,
  "record": {
    "abstract": "Diagonalization of uncertainty matrix and minimization of Robertson\ninequality for n observables are considered. It is proved that for even n this\nrelation is minimized in states which are eigenstates of n/2 independent\ncomplex linear combinations of the observables. In case of canonical\nobservables this eigenvalue condition is also necessary. Such minimizing states\nare called Robertson intelligent states (RIS).\n  The group related coherent states (CS) with maximal symmetry (for semisimple\nLie groups) are particular case of RIS for the quadratures of Weyl generators.\nExplicit constructions of RIS are considered for operators of su(1,1), su(2),\nh_N and sp(N,R) algebras. Unlike the group related CS, RIS can exhibit strong\nsqueezing of group generators. Multimode squared amplitude squeezed states are\nnaturally introduced as sp(N,R) RIS. It is shown that the uncertainty matrices\nfor quadratures of q-deformed boson operators a_{q,j} (q \u003e 0) and of any k\npower of a_j = a_{1,j} are positive definite and can be diagonalized by\nsymplectic linear transformations. PACS numbers: 03.65.Fd, 42.50.Dv",
    "arxiv_id": "quant-ph/9701018",
    "authors": [
      "D. A. Trifonov"
    ],
    "categories": [
      "quant-ph",
      "cond-mat",
      "nucl-th"
    ],
    "doi": "10.1088/0305-4470/30/17/006",
    "journal_ref": "J.Phys.A30:5941-5957,1997",
    "title": "Robertson Intelligent States",
    "url": "https://arxiv.org/abs/quant-ph/9701018"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "207b5e1c-07b0-4a0f-a742-7da3c79e19b0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}