{
  "annotation_id": "61c73878-fd75-438d-bdca-d84923ecd7ee",
  "date_created": "2026-03-02T18:02:20.012000Z",
  "date_modified": "2026-03-02T18:02:20.012000Z",
  "file_hash": "d2fb6bffad7b63d40731bdfea282d748cd49b851455a40d9b2141294f088fa32",
  "private": false,
  "record": {
    "abstract": "We generalize the definition of quantum Anosov properties and the related\nLyapunov exponents to the case of quantum systems driven by a classical flow,\ni.e. skew-product systems. We show that the skew Anosov properties can be\ninterpreted as regular Anosov properties in an enlarged Hilbert space, in the\nframework of a generalized Floquet theory. This extension allows us to describe\nthe hyperbolicity properties of almost-periodic quantum parametric oscillators\nand we show that their upper Lyapunov exponents are positive and equal to the\nLyapunov exponent of the corresponding classical parametric oscillators. As\nsecond example, we show that the configurational quantum cat system satisfies\nquantum Anosov properties.",
    "arxiv_id": "quant-ph/0510211",
    "authors": [
      "O. Sapin",
      "H. R. Jauslin",
      "S. Weigert"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Upper quantum Lyapunov Exponent and Anosov relations for quantum systems   driven by a classical flow",
    "url": "https://arxiv.org/abs/quant-ph/0510211"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f5a7baf0-a200-4ade-b67f-3111fa9f79da",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}