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.

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.

Keywords

correlation, localization, microwave cavities, mesoscale, nanoscale physics, Inverse Participation Ratio, IPR I₂

Subject Categories

Eigenfunctions

Disciplines

Physics

Publication Date

2000

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