dorsal/arxiv
View SchemaStability of quantum motion in regular systems: a uniform semiclassical approach
| Authors | Wen-ge Wang, G. Casati, Baowen Li |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0609112 |
| URL | https://arxiv.org/abs/quant-ph/0609112 |
| DOI | 10.1103/PhysRevE.75.016201 |
| Journal | Phys. Rev. E 75, 016201 (2007) |
Abstract
We study the stability of quantum motion of classically regular systems in presence of small perturbations. Onthe base of a uniform semiclassical theory we derive the fidelity decay which displays a quite complexbehaviour, from Gaussian to power law decay $t^{-\alpha}$ with $1 \le \alpha \le 2$. Semiclassical estimates are given for the time scales separating the different decaying regions and numerical results are presented which confirm our theoretical predictions.
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"abstract": "We study the stability of quantum motion of classically regular systems in\npresence of small perturbations. Onthe base of a uniform semiclassical theory\nwe derive the fidelity decay which displays a quite complexbehaviour, from\nGaussian to power law decay $t^{-\\alpha}$ with $1 \\le \\alpha \\le 2$.\nSemiclassical estimates are given for the time scales separating the different\ndecaying regions and numerical results are presented which confirm our\ntheoretical predictions.",
"arxiv_id": "quant-ph/0609112",
"authors": [
"Wen-ge Wang",
"G. Casati",
"Baowen Li"
],
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"quant-ph",
"nlin.SI"
],
"doi": "10.1103/PhysRevE.75.016201",
"journal_ref": "Phys. Rev. E 75, 016201 (2007)",
"title": "Stability of quantum motion in regular systems: a uniform semiclassical approach",
"url": "https://arxiv.org/abs/quant-ph/0609112"
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