1999/11/29 by A. Tschersich, K. B. Efetov
Physics and Astronomy · #Quantum chaos and dynamical systems #Scientific Research and Discoveries #Theoretical and Computational Physics #chao-dyn #cond-mat.mes-hall #nlin.CD
paper · pdf · doi:10.1103/physreve.62.2042
4 pages, 2 figures; acknowledgements and references added
arxiv created 1999/11/29 · openalex publication_date 2000/08/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Using the supersymmetry technique, we calculate the joint distribution of local densities of electron wave functions in two coupled disordered or chaotic quantum billiards. We find 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.