Correlations due to localization in quantum eigenfunctions of disordered microwave cavities

Details Correlations due to localization in quantum eigenfunctions of disordered microwave cavities Correlations due to localization in quantum eigenfunctions of disordered microwave cavities

2000-03-31

arxiv.org/abs/cond-mat/0003503v1

Phys. Rev. Lett. 85, 2360 (2000)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, LaTex, 5 .jpg figures. This paper with 5 embedded postscript figures available (PS,PDF) at http://sagar.physics.neu.e

Scientific paper

10.1103/PhysRevLett.85.2360

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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