Signatures of prelocalized states in classically chaotic systems

Abstract

We investigate the statistics of eigenfunction intensities P(\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 P(\psi(2)) contradict the results of the optimal fluctuation method, but agree very well with the predictions of the nonlinear sigma model.