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.

13 pages, 8 eps figures included

References in corpus (2)

• Experimental vs. Numerical Eigenvalues of a Bunimovich Stadium Billiard -- A Comparison
• Quantum resonances and decay of a chaotic fractal repeller observed using microwaves

Cited by in corpus (7)

• Experimental Observation of the Spectral Gap in Microwave n-Disk Systems
• Quantum fingerprints of classical Ruelle-Pollicot resonances
• Weyl asymptotics: From closed to open systems
• Exploring classically chaotic potentials with a matter wave quantum probe
• Symmetry, degeneracy and optical confinement of modes in coupled microdisk resonators and photonic crystal cavities
• Resonance states of the three-disk scattering system
• Distribution of resonances for hyperbolic surfaces