{
  "annotation_id": "87cfda79-d2e3-4c55-b8df-bfe37262e61f",
  "date_created": "2026-03-02T18:02:40.508000Z",
  "date_modified": "2026-03-02T18:02:40.508000Z",
  "file_hash": "032c424b60cd2c3759bd455119a293abf0a252fdae4db65c1d77abdd67336031",
  "private": false,
  "record": {
    "abstract": "We study four distinct families of Gibbs canonical distributions defined on\nthe standard complex, quaternionic, real and classical (nonquantum) two-level\nsystems. The structure function or density of states for any two-level system\nis a simple power (1, 3, 0 or -1) of the length of its polarization vector,\nwhile the magnitude of the energy of the system, in all four cases, is the\nnegative of the logarithm of the determinant of the corresponding\ntwo-dimensional density matrix. Functional relationships (proportional to\nratios of gamma functions) are found between the average polarizations with\nrespect to the Gibbs distributions and the effective polarization temperature\nparameters. In the standard complex case, this yields an interesting\nalternative, meeting certain probabilistic requirements recently set forth by\nLavenda, to the more conventional (hyperbolic tangent) Brillouin function of\nparamagnetism (which, Lavenda argues, fails to meet such specifications).",
    "arxiv_id": "quant-ph/9706013",
    "authors": [
      "Paul B. Slater"
    ],
    "categories": [
      "quant-ph",
      "cond-mat"
    ],
    "title": "Quantum Statistical Thermodynamics of Two-Level Systems",
    "url": "https://arxiv.org/abs/quant-ph/9706013"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7d826181-8109-41eb-8bcd-cb6d2d2d144f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}