{
  "annotation_id": "a9379730-e13d-4088-89af-ef3b0d5e6683",
  "date_created": "2026-03-02T18:01:45.525000Z",
  "date_modified": "2026-03-02T18:01:45.525000Z",
  "file_hash": "497b5639206131066873e32c26b7279e902e7b43bea57720ebfb7902e44d9b1a",
  "private": false,
  "record": {
    "abstract": "Conditions sufficient for a quantum dynamical semigroup (QDS) to be unital\nare proved for a class of problems in quantum optics with Hamiltonians which\nare self-adjoint polynomials of any finite order in creation and annihilation\noperators. The order of the Hamiltonian may be higher than the order of\ncompletely positive part of the formal generator of a QDS.\n  The unital property of a minimal quantum dynamical semigroup implies the\nuniqueness of the solution of the corresponding Markov master equation in the\nclass of quantum dynamical semigroups and, in the corresponding representation,\nit ensures preservation of the trace or unit operator. We recall that only in\nthe unital case the formal generator of MME determines uniquely the\ncorresponding QDS.",
    "arxiv_id": "quant-ph/0106094",
    "authors": [
      "Alexander Chebotarev",
      "Julio Garcia",
      "Roberto Quezada"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Interaction representation method for Markov master equations in quantum   optics",
    "url": "https://arxiv.org/abs/quant-ph/0106094"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4ba84971-526f-40bc-99c7-7eb3b8155058",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}