{
  "annotation_id": "1530fc64-201a-4201-bd70-b24b0b3e96d9",
  "date_created": "2026-03-02T18:02:30.559000Z",
  "date_modified": "2026-03-02T18:02:30.559000Z",
  "file_hash": "098ed09d7d176c681fca3c6041b36d7c28d778170c1f67e70748a4f38e9e0736",
  "private": false,
  "record": {
    "abstract": "Time evolution operator in quantum mechanics can be changed into a\nstatistical operator by a Wick rotation. This strict relation between\nstatistical mechanics and quantum evolution can reveal deep results when the\nthermodynamic limit is considered. These results translate in a set of theorems\nproving that these effects can be effectively at work producing an emerging\nclassical world without recurring to any external entity that in some cases\ncannot be properly defined. In a many-body system has been recently shown that\nGaussian decay of the coherence is the rule with a duration of recurrence more\nand more small as the number of particles increases. This effect has been\nobserved experimentally. More generally, a theorem about coherence of bulk\nmatter can be proved. All this takes us to the conclusion that a well definite\nboundary for the quantum to classical world does exist and that can be drawn by\nthe thermodynamic limit, extending in this way the deep link between\nstatistical mechanics and quantum evolution to a high degree.",
    "arxiv_id": "quant-ph/0611024",
    "authors": [
      "Marco Frasca"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.other",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1088/1742-6596/67/1/012026",
    "journal_ref": "Journal of Physics: Conference Series 67 (2007) 012026",
    "title": "Thermodynamic Limit and Decoherence: Rigorous Results",
    "url": "https://arxiv.org/abs/quant-ph/0611024"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3df8c529-8f49-4d2f-b090-194235e49225",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}