{
  "annotation_id": "0193d296-341a-4818-83eb-ee3b300c1af0",
  "date_created": "2026-03-02T18:02:27.560000Z",
  "date_modified": "2026-03-02T18:02:27.560000Z",
  "file_hash": "2a29c1b986ffd0cfdb3eb247031cd09eb0bc4bf36ba9eb7184a3f1e8b54f7def",
  "private": false,
  "record": {
    "abstract": "We provide time-evolution operators, gauge transformations and a perturbative\ntreatment for non-Hermitian Hamiltonian systems, which are explicitly\ntime-dependent. We determine various new equivalence pairs for Hermitian and\nnon-Hermitian Hamiltonians, which are therefore pseudo-Hermitian and in\naddition in some cases also invariant under PT-symmetry. In particular, for the\nharmonic oscillator perturbed by a cubic non-Hermitian term, we evaluate\nexplicitly various transition amplitudes, for the situation when these systems\nare exposed to a monochromatic linearly polarized electric field.",
    "arxiv_id": "quant-ph/0604014",
    "authors": [
      "Carla Figueira de Morisson Faria",
      "Andreas Fring"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1088/0305-4470/39/29/018",
    "journal_ref": "J. Phys. A 39 (2006) 9269-9289",
    "title": "Time evolution of non-Hermitian Hamiltonian systems",
    "url": "https://arxiv.org/abs/quant-ph/0604014"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a9859d6d-db56-4359-b76c-b81291ed0d90",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}