Measurement of Long-Range Wave-Function Correlations in an Open Microwave Billiard

Measurement of long-range wave-function correlations in an open microwave billiard.

We investigate the statistical properties of wave functions in an open chaotic cavity. When the number of channels in the openings of the billiard is increased by varying the frequency, wave functions cross over from real to complex. The distribution of the phase rigidity, which characterizes the degree to which a wave function is complex, and long-range correlations of intensity and current de...

Diffractive Orbits in an Open Microwave Billiard

We demonstrate the existence and significance of diffractive orbits in an open microwave billiard, both experimentally and theoretically. Orbits that diffract off of a sharp edge strongly influence the conduction spectrum of this resonator, especially in the regime where there are no stable classical orbits. On resonance, the wavefunctions are influenced by both classical and diffractive orbits...

Matter-microwave correlations in an open universe.

Long-Range Correlations in the Wave Functions of Chaotic Systems.

Vladimir I. Fal’ko1,3,4 and K. B. Efetov2,5 1School of Physics & Chemistry, Lancaster University, LA1 4YB Lancaster, United Kingdom 2Max-Planck-Institut für Physik Komplexer Systeme, Heisenbergstrasse 1, 70569 Stuttgart, Germany 3Department of Theoretical Physics, Oxford University, 1 Keble Road, OX1 3NP, Oxford, United Kingdom 4Institute of Solid State Physics RAS, Chernogolovka, 142432 Russia...

Wave Propagation in Random Waveguides with Long-Range Correlations

In this paper we consider an acoustic waveguide with random fluctuations of its sound speed profile. These random perturbations are assumed to have long-range correlation properties. In waveguides a monochromatic wave can be decomposed in propagating modes and evanescent modes, and the random perturbation couples all these modes. Using asymptotic analysis of the modecoupling mechanism we give a...