{
  "annotation_id": "a7658f3f-0344-4eab-83d0-963100760da4",
  "date_created": "2026-03-02T18:02:27.407000Z",
  "date_modified": "2026-03-02T18:02:27.407000Z",
  "file_hash": "7f313658be74a79293962992a0b57dafe360544a3bf3f39a1792437f4c9e7d6d",
  "private": false,
  "record": {
    "abstract": "In this paper we discuss the entanglement properties of a thermal\nnon-relativistic free bosonic field. We demonstrate how to formally construct\nspatial modes in order to use a continuous variable separability criterion and\nshow that the construction of the modes plays a significant role in the way the\nentanglement manifests itself. For instance the presence of entanglement\ndepends on the shape of the modes and their separation. The temperature of the\ngas is another crucial factor and for one choice of modes we show that\nentanglement can be found at arbitrarily high temperatures as long as we can\nzoom in on suitably small regions in space. Moreover, we show that the\nentanglement here is useful as it can be extracted to a pair of localised\nsystems.",
    "arxiv_id": "quant-ph/0607069",
    "authors": [
      "L. Heaney",
      "J. Anders",
      "V. Vedral"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Spatial Entanglement of a Free Bosonic Field",
    "url": "https://arxiv.org/abs/quant-ph/0607069"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "322a1b2f-1d38-4552-8026-078b3a9c49f4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}