{
  "annotation_id": "d2352ac6-4c7b-4fa7-b0bb-15b892690c03",
  "date_created": "2026-03-02T18:02:37.844000Z",
  "date_modified": "2026-03-02T18:02:37.844000Z",
  "file_hash": "eaaf2075022ac39969dbddab378a106d8cf8bf061e6ed2450f78d3b1ebdf9ee7",
  "private": false,
  "record": {
    "abstract": "Recently Bender, Brody, Jones and Meister found that in the quantum\nbrachistochrone problem the passage time needed for the evolution of certain\ninitial states into specified final states can be made arbitrarily small, when\nthe time-evolution operator is taken to be non-Hermitian but PT-symmetric. Here\nwe demonstrate that such phenomena can also be obtained for non-Hermitian\nHamiltonians for which PT-symmetry is completely broken, i.e. dissipative\nsystems. We observe that the effect of a tunable passage time can be achieved\nby projecting between orthogonal eigenstates by means of a time-evolution\noperator associated to a non-Hermitian Hamiltonian. It is not essential that\nthis Hamiltonian is PT-symmetric.",
    "arxiv_id": "quant-ph/0703254",
    "authors": [
      "Paulo E. G. Assis",
      "Andreas Fring"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1088/1751-8113/41/24/244002",
    "journal_ref": "J.Phys.A41:244002,2008",
    "title": "The quantum brachistochrone problem for non-Hermitian Hamiltonians",
    "url": "https://arxiv.org/abs/quant-ph/0703254"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2ef83cb1-c765-4d8e-a9b2-a7709c61f7dd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}