Stability of quantum motion in regular systems: a uniform semiclassical approach

Details Stability of quantum motion in regular systems: a uniform semiclassical approach Stability of quantum motion in regular systems: a uniform semiclassical approach

2006-09-15

arxiv.org/abs/quant-ph/0609112v2

Phys. Rev. E 75, 016201 (2007)

Physics

Quantum Physics

5 pages, 4 figures, published version

Scientific paper

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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