Experiments on quantum chaos using microwave cavities: Results for the pseudo-integrable L-billiard |
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Authors: | A Kudrolli S Sridhar |
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Institution: | (1) Physics Department, Northeastern University, 360 Huntington Avenue, 02115 Boston, MA, USA |
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Abstract: | We describe microwave experiments used to study billiard geometries as model problems of non-integrability in quantum or wave
mechanics. The experiments can study arbitrary 2-D geometries, including chaotic and even disordered billiards. Detailed results
on an L-shaped pseudo-integrable billiard are discussed as an example. The eigenvalue statistics are well-described by empirical
formulae incorporating the fraction of phase space that is non-integrable. The eigenfunctions are directly measured, and their
statistical properties are shown to be influenced by non-isolated periodic orbits, similar to that for the chaotic Sinai billiard.
These periodic orbits are directly observed in the Fourier transform of the eigenvalue spectrum. |
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Keywords: | Quantum chaos billiards eigenvalues eigenfunctions random matrix theory pseudo-integrable |
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