{
  "annotation_id": "9649fe83-5f25-4f25-a00c-95dee44723bd",
  "date_created": "2026-03-02T18:02:23.771000Z",
  "date_modified": "2026-03-02T18:02:23.771000Z",
  "file_hash": "f4b4f47a899774287329bc41b105e0f0b7861788886e87361f648162e4a45499",
  "private": false,
  "record": {
    "abstract": "We present a characterization of quantum phase transitions in terms of the\nthe overlap function between two ground states obtained for two different\nvalues of external parameters. On the examples of the Dicke and XY models, we\nshow that the regions of criticality of a system are marked by the extremal\npoints of the overlap and functions closely related to it. Further, we discuss\nthe connections between this approach and the Anderson orthogonality\ncatastrophe as well as with the dynamical study of the Loschmidt echo for\ncritical systems.",
    "arxiv_id": "quant-ph/0512249",
    "authors": [
      "Paolo Zanardi",
      "Nikola Paunkovi\u0107"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevE.74.031123",
    "journal_ref": "Phys. Rev. E 74, 031123 (2006)",
    "title": "Ground state overlap and quantum phase transitions",
    "url": "https://arxiv.org/abs/quant-ph/0512249"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "db6fd834-01c3-4943-b54c-b6e66579eda9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}