Quantum Localization near Bifurcations in Classically Chaotic Systems

I. Varga; P. Pollner; B. Eckhardt

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arXiv · chao-dyn/9907035

Quantum Localization near Bifurcations in Classically Chaotic Systems

I. Varga·P. Pollner·B. Eckhardt

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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.

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I. Varga, P. Pollner, B. Eckhardt. 1999-07-27. Quantum Localization near Bifurcations in Classically Chaotic Systems. https://arxiv.org/abs/chao-dyn/9907035

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