{
  "annotation_id": "74f5a802-21b1-4e18-8ec0-2830f0f6ff22",
  "date_created": "2026-03-02T18:01:59.940000Z",
  "date_modified": "2026-03-02T18:01:59.940000Z",
  "file_hash": "38da0c0f88521d8a461c9ef5d419f50867ba8082543fd914ff62c540e6eb95a7",
  "private": false,
  "record": {
    "abstract": "We formulate the thermofield dynamics for time-dependent systems by combining\nthe Liouville-von Neumann equation, its invariant operators, and the basic\nnotions of thermofield dynamics. The new formulation is applied to\ntime-dependent bosons and fermions by using the time-dependent annihilation and\ncreation operators that satisfy the Liouville-von Neumann equation. It is shown\nthat the thermal state is the time- and temperature-dependent vacuum state and\na general formula is derived to calculate the thermal expectation value of\noperators.",
    "arxiv_id": "quant-ph/0308053",
    "authors": [
      "Sang Pyo Kim",
      "F. C. Khanna"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Thermofield Dynamics of Time-Dependent Boson and Fermion Systems",
    "url": "https://arxiv.org/abs/quant-ph/0308053"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "18437cfa-278a-4e3e-902e-8331c6148f1a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}