Correlations due to localization in quantum eigenfunctions of disordered microwave cavities
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 <I_{2}>. 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.
Cite
@article{arxiv.cond-mat/0003503,
title = {Correlations due to localization in quantum eigenfunctions of disordered microwave cavities},
author = {Prabhakar Pradhan and S. Sridhar},
journal= {arXiv preprint arXiv:cond-mat/0003503},
year = {2009}
}
Comments
4 pages, LaTex, 5 .jpg figures. This paper with 5 embedded postscript figures available (PS,PDF) at http://sagar.physics.neu.edu/preprints/