Statistics of Wave Functions in Coupled Chaotic Systems
Mesoscale and Nanoscale Physics
2009-10-31 v2 chao-dyn
Chaotic Dynamics
Abstract
Using the supersymmetry technique, we calculate the joint distribution of local densities of electron wavefunctions in two coupled disordered or chaotic quantum billiards. We find novel spatial correlations that are absent in a single chaotic system. Our exact result can be interpreted for small coupling in terms of the hybridization of eigenstates of the isolated billiards. We show that the presented picture is universal, independent of microscopic details of the coupling.
Keywords
Cite
@article{arxiv.cond-mat/9911284,
title = {Statistics of Wave Functions in Coupled Chaotic Systems},
author = {A. Tschersich and K. B. Efetov},
journal= {arXiv preprint arXiv:cond-mat/9911284},
year = {2009}
}
Comments
4 pages, 2 figures; acknowledgements and references added