{
  "annotation_id": "dcbf0ff7-cb40-468e-bc12-064c9cd73751",
  "date_created": "2026-03-02T18:02:24.141000Z",
  "date_modified": "2026-03-02T18:02:24.141000Z",
  "file_hash": "764e9225576d59e635263ef0628200c534d80d45978010e706878663c369cc95",
  "private": false,
  "record": {
    "abstract": "A fundamental problem in the theory of PT-invariant quantum systems is to\ndetermine whether a given system `respects\u0027 this symmetry or not. If not, the\nsystem usually develops non-real eigenvalues. It is shown in this contribution\nhow to algorithmically detect the existence of complex eigenvalues for a given\nPT-symmetric matrix. The procedure uses classical results from stability theory\nwhich qualitatively locate the zeros of real polynomials in the complex plane.\nThe interest and value of the present approach lies in the fact that it avoids\ndiagonalization of the Hamiltonian at hand.",
    "arxiv_id": "quant-ph/0602141",
    "authors": [
      "Stefan Weigert"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/39/32/S22",
    "journal_ref": "J. Phys. A 39 (2006) 10239",
    "title": "Detecting Broken PT-Symmetry",
    "url": "https://arxiv.org/abs/quant-ph/0602141"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b601d2f9-5bd2-4e2e-b8ba-b39049eeed51",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}