{
  "annotation_id": "db94d68f-3d4c-4808-833c-94c832e54703",
  "date_created": "2026-03-02T18:01:49.394000Z",
  "date_modified": "2026-03-02T18:01:49.394000Z",
  "file_hash": "3bdc82171d755b8e826aa1ae683a1ab606afc435a89bb95e44303833a05873c3",
  "private": false,
  "record": {
    "abstract": "A many body theory for a two-component system of spin polarized interacting\nfermions in a one-dimensional harmonic trap is developed. The model considers\ntwo different states of the same fermionic species and treats the dominant\ninteractions between the two using the bosonization method for forward\nscattering. Asymptotically exact results for the one-particle matrix elements\nat zero temperature are given. Using them, occupation probabilities of\noscillator states are discussed. Particle and momentum densities are calculated\nand displayed. It is demonstrated how interactions modify all these quantities.\nAn asymptotic connection with Luttinger liquids is suggested. The relation of\nthe coupling constant of the theory to the dipole-dipole interaction is also\ndiscussed.",
    "arxiv_id": "quant-ph/0111104",
    "authors": [
      "Gao Xianlong",
      "W. Wonneberger"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.65.033610",
    "title": "Two-component Fermi gas in a one-dimensional harmonic trap",
    "url": "https://arxiv.org/abs/quant-ph/0111104"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d84bb1a2-3f56-4965-8043-22e18800c3b7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}