Non-universal correlations due to localization are observed in statistical properties of experimental eigenfunctions of quantum chaotic and disordered microwave cavities. Varying energy E and mean free path ℓ enable us to experimentally tune from localized to delocalized states. Large level-to-level Inverse Participation Ratio (IPR I₂) fluctuations are observed for the disordered billiards, whose distribution is strongly asymmetric about 〈I₂〉. The density auto-correlations of eigenfunctions are shown to decay exponentially and the decay lengths are experimentally determined. All the results are quantitatively consistent with calculations based upon nonlinear α− models.
correlation, localization, microwave cavities, mesoscale, nanoscale physics, Inverse Participation Ratio, IPR I₂
Pradhan, Prabhakar and Sridhar, S., "Correlations due to localization in quantum eigenfunctions of disordered microwave cavities" (2000). Physics Faculty Publications. Paper 80. http://hdl.handle.net/2047/d20000433
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