Signatures of Prelocalized States in Classically Chaotic Systems

Original · EN

We investigate the statistics of eigenfunction intensities 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 P(|ψ|²) contradict the results of the optimal fluctuation method, but agree very well with the predictions of the non-linear σ-model.