{
  "annotation_id": "680cfd77-ffc9-46f6-9a58-1eb36312d299",
  "date_created": "2026-03-02T18:02:16.802000Z",
  "date_modified": "2026-03-02T18:02:16.802000Z",
  "file_hash": "cbfb6f066ee64740776df5b015a59212b4696833f03e33bb08a6869b541ef3a2",
  "private": false,
  "record": {
    "abstract": "Classical chaos refers to the property of trajectories to diverge\nexponentially as time tends to infinity. It is characterized by a positive\nLyapunov exponent.\n  There are many different descriptions of quantum chaos. The one related to\nthe notion of generalized (quantum) Lyapunov exponent is based either on\nqualitative physical considerations or on the so-called symplectic tomography\nmap.\n  The purpose of this note is to show how the definition of quantum Lyapunov\nexponent naturally arises in the framework of the Moyal phase space formulation\nof quantum mechanics and is based on the notions of quantum trajectories and\nthe family of quantizers. The role of the Heisenberg uncertainty principle in\nthe statement of the criteria for quantum chaos is made explicit.",
    "arxiv_id": "quant-ph/0505066",
    "authors": [
      "M. F. Kondratieva",
      "T. A. Osborn"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "On the notion of quantum Lyapunov exponent",
    "url": "https://arxiv.org/abs/quant-ph/0505066"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "de3e7616-a810-47c7-ac24-d56eab4dfb32",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}