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Correlations due to localization in quantum eigenfunctions of disordered microwave cavities

Prabhakar Pradhan·S. Sridhar
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Abstract

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 I_{2}) fluctuations are observed for the disordered billiards, whose distribution is strongly asymmetric about . 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 sigma-models.

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Prabhakar Pradhan, S. Sridhar. 2000-03-31. Correlations due to localization in quantum eigenfunctions of disordered microwave cavities. https://doi.org/10.1103/physrevlett.85.2360

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