{
  "annotation_id": "f5b10739-4e46-4519-8d80-42ccf961066f",
  "date_created": "2026-03-02T18:02:40.649000Z",
  "date_modified": "2026-03-02T18:02:40.649000Z",
  "file_hash": "a8468df7dead9c960ceaa6d980946eea395e4f9e68abd99cec2cb9277280b9c7",
  "private": false,
  "record": {
    "abstract": "It is shown that any two Hamiltonians H(t) and H\u0027(t) of N dimensional quantum\nsystems can be related by means of time-dependent canonical transformations\n(CT). The dynamical symmetry group of system with Hamiltonian H(t) coincides\nwith the invariance group of H(t). Quadratic Hamiltonians can be diagonalized\nby means of linear time-dependent CT. The diagonalization can be explicitly\ncarried out in the case of stationary and some nonstationary quadratic H.\nLinear CT can diagonalize the uncertainty matrix \\sigma(\\rho) for canonical\nvariables p_k, q_j in any state \\rho, i.e., \\sigma(\\rho) is symplectically\ncongruent to a diagonal uncertainty matrix. For multimode squeezed canonical\ncoherent states (CCS) and squeezed Fock states with equal photon numbers in\neach mode \\sigma is symplectic itself. It is proved that the multimode\nRobertson uncertainty relation is minimized only in squeezed CCS.",
    "arxiv_id": "quant-ph/9801015",
    "authors": [
      "D. A. Trifonov"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Canonical equivalence of quantum systems, multimode squeezed states and   Robertson relation",
    "url": "https://arxiv.org/abs/quant-ph/9801015"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bbd833a3-a76e-449b-a464-25b0203fd652",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}