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Non-universal correlations due to localization are observed in statisticalproperties of experimental eigenfunctions of quantum chaotic and disorderedmicrowave cavities. Varying energy {E} and mean free path {l} enable us toexperimentally tune from localized to delocalized states. Large level-to-levelInverse Participation Ratio (IPR I_{2}) fluctuations are observed for thedisordered billiards, whose distribution is strongly asymmetric about <I_{2}>.The density auto-correlations of eigenfunctions are shown to decayexponentially and the decay lengths are experimentally determined. All theresults are quantitatively consistent with calculations based upon nonlinearsigma-models.

Correlations due to Localization in Quantum Eigenfunctions of Disordered Microwave Cavities