dorsal/arxiv
View SchemaDynamics of Loschmidt echoes and fidelity decay
| Authors | Thomas Gorin, Tomaz Prosen, Thomas H. Seligman, Marko Znidaric |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0607050 |
| URL | https://arxiv.org/abs/quant-ph/0607050 |
| DOI | 10.1016/j.physrep.2006.09.003 |
| Journal | Phys. Rep. 435, 33-156 (2006) |
Abstract
Fidelity serves as a benchmark for the relieability in quantum information processes, and has recently atracted much interest as a measure of the susceptibility of dynamics to perturbations. A rich variety of regimes for fidelity decay have emerged. The purpose of the present review is to describe these regimes, to give the theory that supports them, and to show some important applications and experiments. While we mention several approaches we use time correlation functions as a backbone for the discussion. Vanicek's uniform approach to semiclassics and random matrix theory provides an important alternative or complementary aspects. Other methods will be mentioned as we go along. Recent experiments in micro-wave cavities and in elastodynamic systems as well as suggestions for experiments in quantum optics shall be discussed.
{
"annotation_id": "2725d918-2195-4f97-a585-00d5882c0787",
"date_created": "2026-03-02T18:02:27.408000Z",
"date_modified": "2026-03-02T18:02:27.408000Z",
"file_hash": "585b39b5b988370caae64c8931226ce6bf87cd6c02bd3c107f5c78cd7292c874",
"private": false,
"record": {
"abstract": "Fidelity serves as a benchmark for the relieability in quantum information\nprocesses, and has recently atracted much interest as a measure of the\nsusceptibility of dynamics to perturbations. A rich variety of regimes for\nfidelity decay have emerged. The purpose of the present review is to describe\nthese regimes, to give the theory that supports them, and to show some\nimportant applications and experiments. While we mention several approaches we\nuse time correlation functions as a backbone for the discussion. Vanicek\u0027s\nuniform approach to semiclassics and random matrix theory provides an important\nalternative or complementary aspects. Other methods will be mentioned as we go\nalong. Recent experiments in micro-wave cavities and in elastodynamic systems\nas well as suggestions for experiments in quantum optics shall be discussed.",
"arxiv_id": "quant-ph/0607050",
"authors": [
"Thomas Gorin",
"Tomaz Prosen",
"Thomas H. Seligman",
"Marko Znidaric"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/j.physrep.2006.09.003",
"journal_ref": "Phys. Rep. 435, 33-156 (2006)",
"title": "Dynamics of Loschmidt echoes and fidelity decay",
"url": "https://arxiv.org/abs/quant-ph/0607050"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "18aaf95f-1245-4d0a-b5b7-20c3cba1df62",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}