Fingerprints of classical diffusion in open 2D mesoscopic systems in the metallic regime

Abstract

We investigate the distribution of the resonance widths $\mathcal{P}(\Gamma )$ and Wigner delay times $\mathcal{P}({\tau }_W)$ for scattering from two-dimensional systems in the diffusive regime. We obtain the forms of these distributions (log-normal for large ${\tau }_W$ and small $\Gamma$, and power law in the opposite case) for different symmetry classes and show that they are determined by the underlying diffusive classical dynamics. Our theoretical arguments are supported by extensive numerical calculations.

7 pages, 3 figures

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• On the statistics of resonances and non-orthogonal eigenfunctions in a model for single-channel chaotic scattering
• Decay Rate Distributions of Disordered Slabs and Application to Random Lasers
• Signatures of Prelocalized States in Classically Chaotic Systems

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