Autocorrelation function of level velocities for ray-splitting billiards

Y. Hlushchuk, A. Kohler, Sz. Bauch, L. Sirko, R. Blümel, M. Barth, and H.-J. Stöckmann
Phys. Rev. E 61, 366 – Published 1 January 2000
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Abstract

We study experimentally and theoretically the autocorrelation function of level velocities c(x) and the generalized conductance C(0) for classically chaotic ray-splitting systems. Experimentally, a Sinai ray-splitting billiard was simulated by a thin microwave rectangular cavity with a quarter-circle Teflon insert. For the theoretical estimates of the autocorrelator c(x) and the conductance C(0) we made parameter-dependent quantum calculations of eigenenergies of an annular ray-splitting billiard. Our experimental and numerical results are compared to theoretical predictions of systems based on the Gaussian orthogonal ensemble in random matrix theory.

  • Received 26 October 1998

DOI:https://doi.org/10.1103/PhysRevE.61.366

©2000 American Physical Society

Authors & Affiliations

Y. Hlushchuk1,2, A. Kohler3, Sz. Bauch1, L. Sirko1,2, R. Blümel4, M. Barth5, and H.-J. Stöckmann5

  • 1Institute of Physics, Polish Academy of Sciences, Aleja Lotników 32/46, 02-668 Warszawa, Poland
  • 2College of Science, Aleja Lotników 32/46, 02-668 Warszawa, Poland
  • 3Sysdeco GIS AS, P.O. Box 433, 3601 Kongsberg, Norway
  • 4Department of Physics, Wesleyan University, Middletown, Connecticut 06459-0155
  • 5Fachbereich Physik, Universität Marburg, Renthof 5, D-35032 Marburg, Germany

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Vol. 61, Iss. 1 — January 2000

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