{
  "annotation_id": "e2c4f0e2-f379-4d9e-800b-731b2d657e4f",
  "date_created": "2026-03-02T18:02:19.341000Z",
  "date_modified": "2026-03-02T18:02:19.341000Z",
  "file_hash": "9a294cb6fc270007b15e99d7caad076a37586442893e3d9ed9a5882c60111504",
  "private": false,
  "record": {
    "abstract": "Whereas boson coherent states with complex parametrization provide an\nelegant, and intuitive representation, there is no counterpart for fermions\nusing complex parametrization. However, a complex parametrization provides a\nvaluable way to describe amplitude and phase of a coherent beam. Thus we pose\nthe question of whether a fermionic beam can be described, even approximately,\nby a complex-parametrized coherent state and define, in a natural way,\napproximate complex-parametrized fermion coherent states. Then we identify four\nappealing properties of boson coherent states (eigenstate of annihilation\noperator, displaced vacuum state, preservation of product states under linear\ncoupling, and factorization of correlators) and show that these approximate\ncomplex fermion coherent states fail all four criteria. The inapplicability of\ncomplex parametrization supports the use of Grassman algebras as an appropriate\nalternative.",
    "arxiv_id": "quant-ph/0507167",
    "authors": [
      "Tomas Tyc",
      "Brett Hamilton",
      "Barry C. Sanders",
      "William D. Oliver"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.other"
    ],
    "doi": "10.1007/s10701-007-9140-x",
    "journal_ref": "Found. Phys. 37, 1027 (2007)",
    "title": "No approximate complex fermion coherent states",
    "url": "https://arxiv.org/abs/quant-ph/0507167"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9a69f1e0-598e-4892-a2d8-778f289c574d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}