Quantum Localization near Bifurcations in Classically Chaotic Systems

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

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Chaotic Dynamics, Condensed Matter

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http://salesiana.dossiersoluciones.com/handle/123456789/15742

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/chao-dyn/9907035
 http://arxiv.org/abs/chao-dyn/9907035
 Ann. Phys. (Leipzig) v.8 SI 265-SI 268 (1999)

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arXiv