Quantum Localization near Bifurcations in Classically Chaotic Systems

Details Quantum Localization near Bifurcations in Classically Chaotic Systems Quantum Localization near Bifurcations in Classically Chaotic Systems

1999-07-27

arxiv.org/abs/chao-dyn/9907035v1

Ann. Phys. (Leipzig) v.8 SI 265-SI 268 (1999)

Physics

Condensed Matter

4 pages in PS including 3 figures, submitted to Localization 99

Scientific paper

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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