Microwave study of quantum n-disk scattering
Abstract
We describe a wave-mechanical implementation of classically chaotic n-disk scattering based on thin 2-D microwave cavities. Two, three, and four-disk scattering are investigated in detail. The experiments, which are able to probe the stationary Green's function of the system, yield both frequencies and widths of the low-lying quantum resonances. The observed spectra are found to be in good agreement with calculations based on semiclassical periodic orbit theory. Wave-vector autocorrelation functions are analyzed for various scattering geometries, the small wave-vector behavior allowing one to extract the escape rate from the quantum repeller. Quantitative agreement is found with the value predicted from classical scattering theory. For intermediate energies, non-universal oscillations are detected in the autocorrelation function, reflecting the presence of periodic orbits.
Keywords
Cite
@article{arxiv.cond-mat/9909237,
title = {Microwave study of quantum n-disk scattering},
author = {Wentao Lu and Lorenza Viola and Kristi Pance and Michael Rose and S. Sridhar},
journal= {arXiv preprint arXiv:cond-mat/9909237},
year = {2009}
}
Comments
13 pages, 8 eps figures included