{
  "annotation_id": "849bfe13-d5e5-40aa-87ea-97acbbc5ba34",
  "date_created": "2026-03-02T18:01:42.079000Z",
  "date_modified": "2026-03-02T18:01:42.079000Z",
  "file_hash": "aa97910df3354b34f551537da9d5e67ab9c04198fa5e21cc2d30917ff9753bd3",
  "private": false,
  "record": {
    "abstract": "For a two-body quantum system, any pure state can be represented by a\nbiorthogonal expression by means of Schmidt decomposition. Using this in the\ncomposite system which include a thermodynamic system and its surroundings, it\nis found that the tilde system in thermo field dynamics is just the\nsurroundings of the real system.",
    "arxiv_id": "quant-ph/0102127",
    "authors": [
      "Dong Mi",
      "He-Shan Song",
      "Ying An"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1142/S0217732301003607",
    "journal_ref": "Mod.Phys.Lett.A16:655-662,2001",
    "title": "A Physical Explanation for Tilde System in Thermo Field Dynamics",
    "url": "https://arxiv.org/abs/quant-ph/0102127"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "62c35877-4865-4f31-b73f-277ae32e0a32",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}