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 I₂) fluctuations are observed for the disordered billiards, whose distribution is strongly asymmetric about 〈I₂〉. 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 α− models.
Keywords
correlation, localization, microwave cavities, mesoscale, nanoscale physics, Inverse Participation Ratio, IPR I₂
Subject Categories
Eigenfunctions
Disciplines
Physics
Publication Date
2000
Permanent URL
Recommended Citation
Pradhan, Prabhakar and Sridhar, S., "Correlations due to localization in quantum eigenfunctions of disordered microwave cavities" (2000). Physics Faculty Publications. Paper 80. http://hdl.handle.net/2047/d20000433
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Notes
Originally posted at http://arxiv.org/abs/cond-mat/0003503v1. Preprint of an article published in Physical Review Letters, v.85 no.11, 2000.