Stability of quantum motion in regular systems: a uniform semiclassical approach.
We study the stability of quantum motion of classically regular systems in the presence of small perturbations. On the basis of a uniform semiclassical theory we derive the fidelity decay which displays a quite complex behavior, from Gaussian to power law decay t(-alpha), with 1 <or= alpha <or= 2. Semiclassical estimates are given for the time scales separating the different decaying regions, and numerical results are presented which confirm our theoretical predictions.
Wang
Wen-ge
WG
Department of Physics and Centre for Computational Science and Engineering, National University of Singapore, 117542, Republic of Singapore.
Casati
G
G
Li
Baowen
B