0609112v2

related topics
{classical, space, random}
{time, wave, function}
{state, phys, rev}
{equation, function, exp}
{energy, gaussian, time}
{time, decoherence, evolution}

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

Wen-ge Wang, G. Casati, Baowen Li

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.

oai_identifier:
oai:arXiv.org:quant-ph/0609112
categories:
quant-ph nlin.SI
comments:
5 pages, 4 figures, published version
arxiv_id:
quant-ph/0609112
journal_ref:
Phys. Rev. E 75, 016201 (2007)
created:
2006-09-14
updated:
2007-01-19

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