{
  "annotation_id": "05d37fbf-1053-4867-858b-e866cad98612",
  "date_created": "2026-03-02T18:02:13.557000Z",
  "date_modified": "2026-03-02T18:02:13.557000Z",
  "file_hash": "8a9d4a058ecc175f1afa340b2dc8590c6a3d9c7ace343faecc7e1f201ccb4e2e",
  "private": false,
  "record": {
    "abstract": "We study the spectrum in such a PT-symmetric square well of a diameter L\nwhere the \"strength of the non-Hermiticity\" is controlled by the two\nparameters, viz., by an imaginary coupling ig and by the distance d of its\nonset from the origin. We solve this problem and confirm that the spectrum is\ndiscrete and real in a non-empty interval of g. Surprisingly, a specific\ndistinction between the bound states is found in their asymptotic\nstability/instability with respect to an unlimited growth of g. In our model,\nall of the low-lying levels remain asymptotically unstable at the small d and\nfinite L while only the stable levels survive for d near L or in the purely\nimaginary well with infinite L. In between these two extremes, an unusual and\ntunable, variable pattern of the interspersed \"robust\" and \"fragile\" subspectra\nof the real levels is obtained.",
    "arxiv_id": "quant-ph/0410196",
    "authors": [
      "Miloslav Znojil"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.1925249",
    "journal_ref": "J.Math.Phys. 46 (2005) 062109",
    "title": "Solvable PT-symmetric model with a tunable interspersion of non-merging   levels",
    "url": "https://arxiv.org/abs/quant-ph/0410196"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9629e464-eaea-4c48-ac48-1bdf39be59cb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}