{
  "annotation_id": "f01d5ea4-8da3-4a84-8a31-931a71b11f58",
  "date_created": "2026-03-02T18:02:07.051000Z",
  "date_modified": "2026-03-02T18:02:07.051000Z",
  "file_hash": "cebd1ce7166d4c060003d75874af235f33882fc2be581632f23452acef440346",
  "private": false,
  "record": {
    "abstract": "We demonstrate, in an elementary manner, that given a partition of the single\nparticle Hilbert space into orthogonal subspaces, a Fermi sea may be factored\ninto pairs of entangled modes, similar to a BCS state. We derive expressions\nfor the entropy and for the particle number fluctuations of a subspace of a\nfermi sea, at zero and finite temperatures, and relate these by a lower bound\non the entropy. As an application we investigate analytically and numerically\nthese quantities for electrons in the lowest Landau level of a quantum Hall\nsample.",
    "arxiv_id": "quant-ph/0406068",
    "authors": [
      "Israel Klich"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.stat-mech",
      "hep-th"
    ],
    "doi": "10.1088/0953-4075/39/1/009",
    "journal_ref": "J.Phys. A39 (2006) L85-L92",
    "title": "Lower entropy bounds and particle number fluctuations in a Fermi sea",
    "url": "https://arxiv.org/abs/quant-ph/0406068"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "30787020-d0db-4d1a-aa73-e9c5a71fc201",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}