dorsal/arxiv
View SchemaQuantum freeze of fidelity decay for chaotic dynamics
| Authors | Tomaz Prosen, Marko Znidaric |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0401142 |
| URL | https://arxiv.org/abs/quant-ph/0401142 |
| DOI | 10.1103/PhysRevLett.94.044101 |
| Journal | Phys.Rev.Lett. 94, 044101 (2005) |
Abstract
We show that the mechanism of quantum freeze of fidelity decay for perturbations with zero time-average, recently discovered for a specific case of integrable dynamics [New J. Phys. 5 (2003) 109], can be generalized to arbitrary quantum dynamics. We work out explicitly the case of chaotic classical counterpart, for which we find semi-classical expressions for the value and the range of the plateau of fidelity. After the plateau ends, we find explicit expressions for the asymptotic decay, which can be exponential or Gaussian depending on the ratio of the Heisenberg time to the decay time. Arbitrary initial states can be considered, e.g. we discuss coherent states and random states.
{
"annotation_id": "7f16762d-325d-4a55-a242-e7701478b04c",
"date_created": "2026-03-02T18:02:05.745000Z",
"date_modified": "2026-03-02T18:02:05.745000Z",
"file_hash": "070d05813a8d7f8dee7bff7c5b6c93695e8f35aefae920f7e771366d2aa00303",
"private": false,
"record": {
"abstract": "We show that the mechanism of quantum freeze of fidelity decay for\nperturbations with zero time-average, recently discovered for a specific case\nof integrable dynamics [New J. Phys. 5 (2003) 109], can be generalized to\narbitrary quantum dynamics. We work out explicitly the case of chaotic\nclassical counterpart, for which we find semi-classical expressions for the\nvalue and the range of the plateau of fidelity. After the plateau ends, we find\nexplicit expressions for the asymptotic decay, which can be exponential or\nGaussian depending on the ratio of the Heisenberg time to the decay time.\nArbitrary initial states can be considered, e.g. we discuss coherent states and\nrandom states.",
"arxiv_id": "quant-ph/0401142",
"authors": [
"Tomaz Prosen",
"Marko Znidaric"
],
"categories": [
"quant-ph",
"nlin.CD"
],
"doi": "10.1103/PhysRevLett.94.044101",
"journal_ref": "Phys.Rev.Lett. 94, 044101 (2005)",
"title": "Quantum freeze of fidelity decay for chaotic dynamics",
"url": "https://arxiv.org/abs/quant-ph/0401142"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "5dd33dfa-69cc-46a6-ae95-19a86fe46847",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}