Statistics of Resonances and Delay Times in Random Media: Beyond Random Matrix Theory

Details Statistics of Resonances and Delay Times in Random Media: Beyond Random Matrix Theory Statistics of Resonances and Delay Times in Random Media: Beyond Random Matrix Theory

2005-08-06

arxiv.org/abs/cond-mat/0508173v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

30 pages, 15 figures (submitted to Journal of Phys. A: Math. and General, special issue on "Aspects of Quantum Chaotic Scatter

Scientific paper

10.1088/0305-4470/38/49/018

We review recent developments on quantum scattering from mesoscopic systems. Various spatial geometries whose closed analogs shows diffusive, localized or critical behavior are considered. These are features that cannot be described by the universal Random Matrix Theory results. Instead one has to go beyond this approximation and incorporate them in a non-perturbative way. Here, we pay particular emphasis to the traces of these non-universal characteristics, in the distribution of the Wigner delay times and resonance widths. The former quantity captures time dependent aspects of quantum scattering while the latter is associated with the poles of the scattering matrix.

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