{
  "annotation_id": "7bd331d3-9fc0-4ee5-87e9-6d5d58b1a6ea",
  "date_created": "2026-03-02T18:01:42.635000Z",
  "date_modified": "2026-03-02T18:01:42.635000Z",
  "file_hash": "3a3dc03c8c3e5fcbb0a785dab37a5efd16c15b2c4282bdddd48378924bae1ebe",
  "private": false,
  "record": {
    "abstract": "We re-interprete the microcanonical conditions in the quantum domain as\nconstraints for the interaction of the \"gas-subsystem\" under consideration and\nits environment (\"container\"). The time-average of a purity-measure is found to\nequal the average over the respective path in Hilbert-space. We then show that\nfor typical (degenerate or non-degenerate) thermodynamical systems almost all\nstates within the allowed region of Hilbert-space have a local von\nNeumann-entropy S close to the maximum and a purity P close to its minimum,\nrespectively. Typically thermodynamical systems should therefore obey the\nsecond law.",
    "arxiv_id": "quant-ph/0101140",
    "authors": [
      "Jochen Gemmer",
      "Alexander Otte",
      "Guenter Mahler"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevLett.86.1927",
    "title": "Quantum Approach to a Derivation of the Second Law of Thermodynamics",
    "url": "https://arxiv.org/abs/quant-ph/0101140"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "848ea7f0-f872-4eab-aa4d-4004576bfe55",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}