{
  "annotation_id": "52247f4a-4c02-4a6a-8a73-f9b97eaa7c4c",
  "date_created": "2026-03-02T18:01:46.203000Z",
  "date_modified": "2026-03-02T18:01:46.203000Z",
  "file_hash": "ca9281eb4164bb6f308fad33d2cf66278dbdfccb77ae98f01d960b3a8819e687",
  "private": false,
  "record": {
    "abstract": "General relation is derived which expresses the fidelity of quantum dynamics,\nmeasuring the stability of time evolution to small static variation in the\nhamiltonian, in terms of ergodicity of an observable generating the\nperturbation as defined by its time correlation function. Fidelity for ergodic\ndynamics is predicted to decay exponentially on time-scale proportional to\ndelta^(-2) where delta is the strength of perturbation, whereas faster,\ntypically gaussian decay on shorter time scale proportional to delta^(-1) is\npredicted for integrable, or generally non-ergodic dynamics. This surprising\nresult is demonstrated in quantum Ising spin-1/2 chain periodically kicked with\na tilted magnetic field where we find finite parameter-space regions of\nnon-ergodic and non-integrable motion in thermodynamic limit.",
    "arxiv_id": "quant-ph/0106149",
    "authors": [
      "Tomaz Prosen"
    ],
    "categories": [
      "quant-ph",
      "nlin.CD"
    ],
    "doi": "10.1103/PhysRevE.65.036208",
    "title": "On general relation between quantum ergodicity and fidelity of quantum   dynamics",
    "url": "https://arxiv.org/abs/quant-ph/0106149"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0d564e46-6e4a-49c7-b9ac-00f41b1b5f9b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}