{
  "annotation_id": "2a643922-29db-4147-a21b-36220d203f8c",
  "date_created": "2026-03-02T18:02:44.140000Z",
  "date_modified": "2026-03-02T18:02:44.140000Z",
  "file_hash": "54f06ccd5cf9698f4e70ccea84def33a2173a5f55e5ea459a18cbdaa3fbab7bf",
  "private": false,
  "record": {
    "abstract": "We study the thermodynamical properties of the quantum kicked rotator,\ncoarsened by an external fluctuation with a weak intensity D, by means of the\nTsallis entropy with a changing entropic index q. The genuine entropic index,\ncorresponding to given values of D and $\\hbar$ is that making the Tsallis\nentropy increase linearly in time, and it is proved to become q \u003c1 for suitably\nlarge values of $\\hbar $: This indicates a subdiffusional regime which, in\nturn, signals the occurrence of quantum localization. Thus the process of\nAnderson localization is shown to be compatible with a thermodynamical\nrepresentation provided that a non-extensive form of entropy is used.",
    "arxiv_id": "quant-ph/9810083",
    "authors": [
      "Luigi Palatella",
      "Paolo Grigolini"
    ],
    "categories": [
      "quant-ph",
      "chao-dyn",
      "nlin.CD"
    ],
    "title": "The transition from a classical to a quantum world as a passage from   extensive to non-extensive thermodynamics",
    "url": "https://arxiv.org/abs/quant-ph/9810083"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "152697e8-be5e-49bd-abd2-667e6af28cf7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}