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Signatures of prelocalized states in classically chaotic systems

Signatures of prelocalized states in classically chaotic systems

We investigate the statistics of eigenfunction intensities $\mathcal{P}(|\ensuremath{\psi}{|}^{2})$ in dynamical systems with classical chaotic diffusion. Our results contradict some recent theoretical considerations that challenge the applicability of field theoretical predictions, derived in a different framework for diffusive disordered samples. For two-dimensional systems, the tails of $\mathcal{P}(|\ensuremath{\psi}{|}^{2})$ contradict the results of …