Parametric correlations of the energy levels of ray-splitting billiards

Published 2001

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Publication details

Journal : Physical Review E. Statistical, Nonlinear, and Soft Matter Physics , vol. 64 , 2001

International Standard Numbers :
Printed : 1539-3755
Electronic : 1550-2376

Publication type : Academic article

Contributors : Savytskyy, N; Kohler, Achim; Bauch, Sz.; Blümel, R.; Sirko, L.

Issue : 3

Links :
DOI : doi.org/10.1103/PhysRevE.64.03...

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Summary

Parameter-dependent statistical properties of the spectra of ray-splitting billiards are studied experimentally and theoretically. The autocorrelation functions c(x) and (c) over tilde(omega ,x) of level velocities as well as the generalized conductance C(0) are calculated for two different classically chaotic ray-splitting billiards. Experimentally a modified Sinai ray-splitting billiard is studied consisting of a thin microwave rectangular cavity with two quarter-circle-shaped Teflon inserts. The length of the cavity serves as the experimentally adjustable parameter. For the theoretical estimates of the parametric correlations we compute the quantum spectrum of a scaling triangular ray-splitting billiard. Our experimental and numerical results are compared with each other and with the predictions of random matrix theory.