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Anomalous diffusion and dynamical localization in a parabolic map

Tomaz Prosen·Marko Znidaric
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Abstract

We study numerically classical and quantum dynamics of a piecewise parabolic area preserving map on a cylinder which emerges from the bounce map of elongated triangular billiards. The classical map exhibits anomalous diffusion. Quantization of the same map results in a system with dynamical localization and pure point spectrum.

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Tomaz Prosen, Marko Znidaric. 2001-03-01. Anomalous diffusion and dynamical localization in a parabolic map. https://doi.org/10.1103/physrevlett.87.114101

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