{
  "annotation_id": "608a8c14-c0fe-48e2-8ebe-a32120b002da",
  "date_created": "2026-03-02T18:02:48.304000Z",
  "date_modified": "2026-03-02T18:02:48.304000Z",
  "file_hash": "e1ac6c26529f37292b51a4e5211d9375773c85c3f59b19040019454cf12f2b7e",
  "private": false,
  "record": {
    "abstract": "For a T-periodic non-Hermitian Hamiltonian H(t), we construct a class of\nadiabatic cyclic states of period T which are not eigenstates of the initial\nHamiltonian H(0). We show that the corresponding adiabatic geometric phase\nangles are real and discuss their relationship with the conventional complex\nadiabatic geometric phase angles. We present a detailed calculation of the new\nadiabatic cyclic states and their geometric phases for a non-Hermitian analog\nof the spin 1/2 particle in a precessing magnetic field.",
    "arxiv_id": "quant-ph/9911003",
    "authors": [
      "Ali Mostafazadeh"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0375-9601(99)00790-2",
    "journal_ref": "Phys. Lett. A 264 (1999) 11-17",
    "title": "A New Class of Adiabatic Cyclic States and Geometric Phases for   Non-Hermitian Hamiltonians",
    "url": "https://arxiv.org/abs/quant-ph/9911003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "448ae62e-ef26-4957-accb-b654892dbeb4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}