{
  "annotation_id": "688ba0b3-4b43-4e7c-82d6-d61807196be5",
  "date_created": "2026-03-02T18:02:07.127000Z",
  "date_modified": "2026-03-02T18:02:07.127000Z",
  "file_hash": "7beae5c6cec583e916a2cf45a6c4f482ef8c2aa7ee8fcdf473dc5747da4fcf9c",
  "private": false,
  "record": {
    "abstract": "We study the structure of vacuum entanglement for two complimentary segments\nof a linear harmonic chain, applying the modewise decomposition of entangled\ngaussian states discussed in \\cite {modewise}. We find that the resulting\nentangled mode shape hierarchy shows a distinctive layered structure with well\ndefined relations between the depth of the modes, their characteristic\nwavelength, and their entanglement contribution. We re-derive in the strong\ncoupling (diverging correlation length) regime, the logarithmic dependence of\nentanglement on the segment size predicted by conformal field theory for the\nboson universality class, and discuss its relation with the mode structure. We\nconjecture that the persistence of vacuum entanglement between arbitrarily\nseparated finite size regions is connected with the localization of the highest\nfrequency innermost modes.",
    "arxiv_id": "quant-ph/0403233",
    "authors": [
      "Alonso Botero",
      "Benni Reznik"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.70.052329",
    "journal_ref": "Phys. Rev. A 70, 052329 (2004)",
    "title": "Spatial structures and localization of vacuum entanglement in the linear   harmonic chain",
    "url": "https://arxiv.org/abs/quant-ph/0403233"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "cdff94e9-5d2b-4192-bf12-110b3e2b4a23",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}