Space Time Complexity in Quantum Optics
Two recent experiments in quantum optics, namely, i) a waveguide laser supporting many transverse modes, and ii) an optical cavity with a photorefractive gain medium and a variable aperture have displayed controllable routes to space complexity. This fills the gap between the single mode dynamics and the many domain turbulent-like behavior, which so far was unreachable for a radiation field. Due to the high accuracy of optical measurements, we foresee a precise way to test many conjectures formulated for fluids or other nonlinear field problems. Thus we have called this new research area “dry hydrodynamics”.
chaotic itinerancy = self induced switching among different slow manifolds
Space-Time Chaos (STC) = high dimensional chaos, with strongly non Gaussian statistics in real space, but with a Gaussian spectral statistics, up to a critical wave number given by the reciprocal of the correlation length.
KeywordsCavity Length Transverse Mode Gaussian Statistic Free Spectral Range Slow Manifold
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