{
  "annotation_id": "e287c8a9-e70c-4357-ace8-0cd6d94271bf",
  "date_created": "2026-03-02T18:02:17.086000Z",
  "date_modified": "2026-03-02T18:02:17.086000Z",
  "file_hash": "94ed289edda50ca8aacd51d738ca498d22a72f4f13cb615650154bc69c1635b5",
  "private": false,
  "record": {
    "abstract": "We discuss the relation between entanglement and criticality in\ntranslationally invariant harmonic lattice systems with non-randon,\nfinite-range interactions. We show that the criticality of the system as well\nas validity or break-down of the entanglement area law are solely determined by\nthe analytic properties of the spectral function of the oscillator system,\nwhich can easily be computed. In particular for finite-range couplings we find\na one-to-one correspondence between an area-law scaling of the bi-partite\nentanglement and a finite correlation length. This relation is strict in the\none-dimensional case and there is strog evidence for the multi-dimensional\ncase. We also discuss generalizations to couplings with infinite range.\nFinally, to illustrate our results, a specific 1D example with nearest and\nnext-nearest neighbor coupling is analyzed.",
    "arxiv_id": "quant-ph/0506169",
    "authors": [
      "R. G. Unanyan",
      "M. Fleischhauer"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevLett.95.260604",
    "title": "Entanglement and criticality in translational invariant harmonic lattice   systems with finite-range interactions",
    "url": "https://arxiv.org/abs/quant-ph/0506169"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "736d9082-737b-48a9-b3e4-dfa078216418",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}