{
  "annotation_id": "537d8c61-f009-4758-8807-7e1f659d7d93",
  "date_created": "2026-03-02T18:02:13.508000Z",
  "date_modified": "2026-03-02T18:02:13.508000Z",
  "file_hash": "c7983cbde95d11ab258efc74d3516e977e0e473e79f11a60f6c5100bb926aafd",
  "private": false,
  "record": {
    "abstract": "It is shown that for a given Hermitian Hamiltonian possessing supersymmetry,\nthere is alwayas a non-hermitian Jaynes-Cummings-type Hamiltonian(JCTH)\nadmitting entirely real spectra. The parent supersymmetric Hamiltonian and the\ncorresponding non-hermitian JCTH are simultaneously diagonalizable. The exact\neigenstates of these non-hermitian Hamiltonians are constructed algebraically\nfor certain shape-invariant potentials, including a non-hermitian version of\nthe standard Jaynes-Cummings model for which the parent supersymmetric\nHamiltonian is the superoscillator. The positive-definite metric operator in\nthe Hilbert space is constructed explicitly along with the introduction of a\nnew inner product structure, so that the eigenstates form a complete set of\northonormal vectors and the time-evolution is unitary.",
    "arxiv_id": "quant-ph/0501087",
    "authors": [
      "Pijush K. Ghosh"
    ],
    "categories": [
      "quant-ph",
      "hep-th"
    ],
    "doi": "10.1088/0305-4470/38/33/007",
    "journal_ref": "J.Phys. A38 (2005) 7313-7324",
    "title": "Exactly solvable non-Hermitian Jaynes-Cummings-type Hamiltonian   admitting entirely real spectra from supersymmetry",
    "url": "https://arxiv.org/abs/quant-ph/0501087"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "420e7faa-dc0e-4fd0-b358-58346fe39e9b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}