From chaos to disorder: Statistics of the eigenfunctions of microwave cavities |
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Authors: | Prabhakar Pradhan S Sridhar |
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Institution: | (1) Department of Physics, Northeastern University, 02115 Boston, Massachusetts, USA;(2) Research Laboratory of Electronics, Massachusetts Institute of Technology, 02139 Cambridge, MA, USA |
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Abstract: | We study the statistics of the experimental eigenfunctions of chaotic and disordered microwave billiards in terms of the moments
of their spatial distributions, such as the inverse participation ratio (IPR) and density-density auto-correlation. A path
from chaos to disorder is described in terms of increasing IPR. In the chaotic, ballistic limit, the data correspond well
with universal results from random matrix theory. Deviations from universal distributions are observed due to disorder induced
localization, and for the weakly disordered case the data are well-described by including finite conductance and mean free
path contributions in the framework of nonlinear sigma models of supersymmetry. |
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Keywords: | Quantum chaos localization mesoscopic physics random matrix theory |
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