{
  "annotation_id": "4f606148-c72f-4ac2-9189-d8f3847e269a",
  "date_created": "2026-03-02T18:02:48.419000Z",
  "date_modified": "2026-03-02T18:02:48.419000Z",
  "file_hash": "67f18097142f1a973341b8ff0ec9864cbfeabbfd7471887a5f2941a760821f49",
  "private": false,
  "record": {
    "abstract": "Level repulsion is associated with exceptional points which are square root\nsingularities of the energies as functions of a (complex) interaction\nparameter. This is also valid for resonance state energies. Using this concept\nit is argued that level anti-crossing (crossing) must imply crossing\n(anti-crossing) of the corresponding widths of the resonance states. Further,\nitis shown that an encircling of an exceptional point induces a phase change of\none wave function but not of the other. An experimental setup is discussed\nwhere this phase behaviour which differs from the one encountered at a diabolic\npoint can be observed.",
    "arxiv_id": "quant-ph/9909047",
    "authors": [
      "W. D. Heiss"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevE.61.929",
    "title": "Repulsion of Resonance States and Exceptional Points",
    "url": "https://arxiv.org/abs/quant-ph/9909047"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "77015f71-649e-4d9c-95cd-887699ca4166",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}