dorsal/arxiv
View SchemaDisplacement Echoes: Classical Decay and Quantum Freeze
| Authors | Cyril Petitjean, Diego V. Bevilaqua, Eric J. Heller, Philippe Jacquod |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0612003 |
| URL | https://arxiv.org/abs/quant-ph/0612003 |
| DOI | 10.1103/PhysRevLett.98.164101 |
| Journal | Phys. Rev. Lett. 98, 164101 (2007) |
Abstract
Motivated by neutron scattering experiments, we investigate the decay of the fidelity with which a wave packet is reconstructed by a perfect time-reversal operation performed after a phase space displacement. In the semiclassical limit, we show that the decay rate is generically given by the Lyapunov exponent of the classical dynamics. For small displacements, we additionally show that, following a short-time Lyapunov decay, the decay freezes well above the ergodic value because of quantum effects. Our analytical results are corroborated by numerical simulations.
{
"annotation_id": "5ef5ba8b-9b56-4048-9101-f4209c2d078d",
"date_created": "2026-03-02T18:02:34.491000Z",
"date_modified": "2026-03-02T18:02:34.491000Z",
"file_hash": "b9240de4f6ac3ec439a1b943b73bef761c6d495e1a0704f1bddd75b520f29687",
"private": false,
"record": {
"abstract": "Motivated by neutron scattering experiments, we investigate the decay of the\nfidelity with which a wave packet is reconstructed by a perfect time-reversal\noperation performed after a phase space displacement. In the semiclassical\nlimit, we show that the decay rate is generically given by the Lyapunov\nexponent of the classical dynamics. For small displacements, we additionally\nshow that, following a short-time Lyapunov decay, the decay freezes well above\nthe ergodic value because of quantum effects. Our analytical results are\ncorroborated by numerical simulations.",
"arxiv_id": "quant-ph/0612003",
"authors": [
"Cyril Petitjean",
"Diego V. Bevilaqua",
"Eric J. Heller",
"Philippe Jacquod"
],
"categories": [
"quant-ph",
"cond-mat.mes-hall",
"nlin.CD"
],
"doi": "10.1103/PhysRevLett.98.164101",
"journal_ref": "Phys. Rev. Lett. 98, 164101 (2007)",
"title": "Displacement Echoes: Classical Decay and Quantum Freeze",
"url": "https://arxiv.org/abs/quant-ph/0612003"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "69ddd5be-bede-4e3c-815f-78b6526d5c13",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}