{
  "annotation_id": "127f4247-4701-4165-93ef-ec33b6185fe0",
  "date_created": "2026-03-02T18:02:06.406000Z",
  "date_modified": "2026-03-02T18:02:06.406000Z",
  "file_hash": "37c7c73b8760b7af0df9ddf599240cb060026c7f7f61fb52c0f7d7edea7ef505",
  "private": false,
  "record": {
    "abstract": "We revisit the question of the relation between entanglement, entropy, and\narea for harmonic lattice Hamiltonians corresponding to discrete versions of\nreal free Klein-Gordon fields. For the ground state of the d-dimensional cubic\nharmonic lattice we establish a strict relationship between the surface area of\na distinguished hypercube and the degree of entanglement between the hypercube\nand the rest of the lattice analytically, without resorting to numerical means.\nWe outline extensions of these results to longer ranged interactions, finite\ntemperatures and for classical correlations in classical harmonic lattice\nsystems. These findings further suggest that the tools of quantum information\nscience may help in establishing results in quantum field theory that were\npreviously less accessible.",
    "arxiv_id": "quant-ph/0405142",
    "authors": [
      "M. B. Plenio",
      "J. Eisert",
      "J. Dreissig",
      "M. Cramer"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.stat-mech",
      "gr-qc"
    ],
    "doi": "10.1103/PhysRevLett.94.060503",
    "journal_ref": "Phys. Rev. Lett. 94, 060503 (2005)",
    "title": "Entropy, entanglement, and area: analytical results for harmonic lattice   systems",
    "url": "https://arxiv.org/abs/quant-ph/0405142"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e2f19348-d42a-4da3-8029-7bceab0d96bc",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}