Quantum Localization near Bifurcations in Classically Chaotic Systems
chao-dyn
2007-05-23 v1 Condensed Matter
Chaotic Dynamics
Abstract
We show that strongly localized wave functions occur around classical bifurcations. Near a saddle node bifurcation the scaling of the inverse participation ratio on Planck's constant and the dependence on the parameter is governed by an Airy function. Analytical estimates are supported by numerical calculations for the quantum kicked rotor.
Cite
@article{arxiv.chao-dyn/9907035,
title = {Quantum Localization near Bifurcations in Classically Chaotic Systems},
author = {I. Varga and P. Pollner and B. Eckhardt},
journal= {arXiv preprint arXiv:chao-dyn/9907035},
year = {2007}
}
Comments
4 pages in PS including 3 figures, submitted to Localization 99