{
  "annotation_id": "bdb64287-250d-47f9-901c-d91c8b488aaf",
  "date_created": "2026-03-02T18:01:59.934000Z",
  "date_modified": "2026-03-02T18:01:59.934000Z",
  "file_hash": "5695622ce11009e0ef4f5231b0df550c48629fd731ad7f37abf11f03b882f42e",
  "private": false,
  "record": {
    "abstract": "What correlations are present in the ground state of a many-body Hamiltonian?\nWe study the relationship between ground-state correlations, especially\nentanglement, and the energy gap between the ground and first excited states.\nWe prove several general inequalities which show quantitatively that\nground-state correlations between systems not directly coupled by the\nHamiltonian necessarily imply a small energy gap.",
    "arxiv_id": "quant-ph/0308083",
    "authors": [
      "Henry L. Haselgrove",
      "Michael A. Nielsen",
      "Tobias J. Osborne"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.69.032303",
    "journal_ref": "Phys. Rev. A 69 (3), 032303 (2004)",
    "title": "Entanglement, correlations, and the energy gap in many-body quantum   systems",
    "url": "https://arxiv.org/abs/quant-ph/0308083"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b503d53e-4c89-48c7-999d-001012df2dc3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}