{
  "annotation_id": "207f6209-31bf-4863-819b-06db8a61a067",
  "date_created": "2026-03-02T18:02:16.417000Z",
  "date_modified": "2026-03-02T18:02:16.417000Z",
  "file_hash": "dbb4189f68a74b09859a1999e5dea3868299863928ddcf26fe50d91d95100ee7",
  "private": false,
  "record": {
    "abstract": "We compute the entropy of entanglement between the first $N$ spins and the\nrest of the system in the ground states of a general class of quantum\nspin-chains. We show that under certain conditions the entropy can be expressed\nin terms of averages over ensembles of random matrices. These averages can be\nevaluated, allowing us to prove that at critical points the entropy grows like\n$\\kappa\\log_2 N + {\\tilde \\kappa}$ as $N\\to\\infty$, where $\\kappa$ and ${\\tilde\n\\kappa}$ are determined explicitly. In an important class of systems, $\\kappa$\nis equal to one-third of the central charge of an associated Virasoro algebra.\nOur expression for $\\kappa$ therefore provides an explicit formula for the\ncentral charge.",
    "arxiv_id": "quant-ph/0504179",
    "authors": [
      "J. P. Keating",
      "F. Mezzadri"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1103/PhysRevLett.94.050501",
    "journal_ref": "Phys.Rev.Lett. 94 (2005) 050501",
    "title": "Entanglement in Quantum Spin Chains, Symmetry Classes of Random   Matrices, and Conformal Field Theory",
    "url": "https://arxiv.org/abs/quant-ph/0504179"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "65f67b03-971e-49e2-a573-e1bfbb8d0e0d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}