{
  "annotation_id": "6de3a8dc-a77a-4c9e-9e98-6b44576cb009",
  "date_created": "2026-03-02T18:01:52.422000Z",
  "date_modified": "2026-03-02T18:01:52.422000Z",
  "file_hash": "b52e58fdab667a9f00e04ba2cd8942402bdb992ac693cc92454f4ab67ab6c771",
  "private": false,
  "record": {
    "abstract": "Wave functions of bounded quantum systems with time-independent potentials,\nbeing almost periodic functions, cannot have time asymptotics as in classical\nchaos. However, bounded quantum systems with time-dependent interactions, as\nused in quantum control, may have continuous spectrum and the rate of growth of\nobservables is an issue of both theoretical and practical concern. Rates of\ngrowth in quantum mechanics are discussed by constructing quantities with the\nsame physical meaning as those involved in the classical Lyapunov exponent. A\ngeneralized notion of quantum sensitive dependence is introduced and the\nmathematical structure of the operator matrix elements that correspond to\ndifferent types of growth is characterized.",
    "arxiv_id": "quant-ph/0205148",
    "authors": [
      "V. I. Man\u0027ko",
      "R. Vilela Mendes"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0375-9601(02)00829-0",
    "journal_ref": "Physics Letters A 300 (2002) 353",
    "title": "Quantum sensitive dependence",
    "url": "https://arxiv.org/abs/quant-ph/0205148"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "13d8de80-bfd3-4821-a671-931e65fd45d5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}