{
  "annotation_id": "f52aec96-0d30-4344-a4b0-25745edcd726",
  "date_created": "2026-03-02T18:02:10.168000Z",
  "date_modified": "2026-03-02T18:02:10.168000Z",
  "file_hash": "1d7ddb89efea6d9d397eab9f7ede4bcc6a9b55c5ee754e772b5185eadc60fff8",
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  "record": {
    "abstract": "We develop a general theory of the relation between quantum phase transitions\n(QPTs) characterized by nonanalyticities in the energy and bipartite\nentanglement. We derive a functional relation between the matrix elements of\ntwo-particle reduced density matrices and the eigenvalues of general two-body\nHamiltonians of $d$-level systems. The ground state energy eigenvalue and its\nderivatives, whose non-analyticity characterizes a QPT, are directly tied to\nbipartite entanglement measures. We show that first-order QPTs are signalled by\ndensity matrix elements themselves and second-order QPTs by the first\nderivative of density matrix elements. Our general conclusions are illustrated\nvia several quantum spin models.",
    "arxiv_id": "quant-ph/0407056",
    "authors": [
      "Lian-Ao Wu",
      "Marcelo S. Sarandy",
      "Daniel A. Lidar"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.stat-mech"
    ],
    "doi": "10.1103/PhysRevLett.93.250404",
    "journal_ref": "Phys. Rev. Lett. 93, 250404 (2004)",
    "title": "Quantum Phase Transitions and Bipartite Entanglement",
    "url": "https://arxiv.org/abs/quant-ph/0407056"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "687e5f45-833c-4652-bf0f-b50302da0249",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}