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Fractal fluctuations in quantum integrable scattering

Italo Guarneri·Marcello Terraneo
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Abstract

We theoretically and numerically demonstrate that completely integrable scattering processes may exhibit fractal transmission fluctuations, due to typical spectral properties of integrable systems. Similar properties also occur with scattering processes in the presence of strong dynamical localization, thus explaining recent numerical observations of fractality in the latter class of systems.

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Italo Guarneri, Marcello Terraneo. 2001-09-18. Fractal fluctuations in quantum integrable scattering. https://doi.org/10.1103/physreve.65.015203

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