Statistics of Wave Functions in Coupled Chaotic Systems

Details Statistics of Wave Functions in Coupled Chaotic Systems Statistics of Wave Functions in Coupled Chaotic Systems

1999-11-18

arxiv.org/abs/cond-mat/9911284v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 2 figures; acknowledgements and references added

Scientific paper

10.1103/PhysRevE.62.2042

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.

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