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Signatures of Prelocalized States in Classically Chaotic Systems

A. Ossipov·Tsampikos Kottos·T. Geisel
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Abstract

We investigate the statistics of eigenfunction intensities ${\cal P}(|ψ|^2)$ in dynamical systems with classical chaotic diffusion. Our results contradict some recent theoretical considerations which challenge the applicability of field theoretical predictions, derived in a different framework for diffusive disordered samples. For two-dimensional systems, the tails of ${\cal P}(|ψ|^2)$ contradict the results of the optimal fluctuation method, but agree very well with the predictions of the non-linear $σ-$model.

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A. Ossipov, Tsampikos Kottos, T. Geisel. 2002-02-25. Signatures of Prelocalized States in Classically Chaotic Systems. https://doi.org/10.1103/physreve.65.055209

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