{
  "annotation_id": "bebc7019-195b-4fb1-aecc-9e6324790cd2",
  "date_created": "2026-03-02T18:01:52.679000Z",
  "date_modified": "2026-03-02T18:01:52.679000Z",
  "file_hash": "f9ab63f8eaed9fe71ba7bf0430db3533306ab961081a5d028a76de15143f27dc",
  "private": false,
  "record": {
    "abstract": "We study a two-level model coupled to the electromagnetic vacuum and to an\nexternal classic electric field with fixed frequency. The amplitude of the\nexternal electric field is supposed to vary very slow in time. Garrison and\nWright [{\\it Phys. Lett.} {\\bf A128} (1988) 177] used the non-hermitian\nHamiltonian approach to study the adiabatic limit of this model and obtained\nthat the probability of this two-level system to be in its upper level has an\nimaginary geometric phase. Using the master equation for describing the time\nevolution of the two-level system we obtain that the imaginary phase due to\ndissipative effects is time dependent, in opposition to Garrison and Wright\nresult. The present results show that the non-hermitian hamiltonian method\nshould not be used to discuss the nature of the imaginary phases in open\nsystems.",
    "arxiv_id": "quant-ph/0207038",
    "authors": [
      "A. C. Aguiar Pinto",
      "M. T. Thomaz"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/36/26/316",
    "journal_ref": "J.Phys.A36:7461-7467,2003",
    "title": "Imaginary Phases in Two-Level Model with Spontaneous Decay",
    "url": "https://arxiv.org/abs/quant-ph/0207038"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3abd68b8-17f8-48ae-ac78-5621efca4bfb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}