Space Time Complexity in Quantum Optics

  • F. T. Arecchi
Part of the NATO ASI Series book series (NSSB, volume 264)


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”.

In particular I show the first experimental evidence of two phenomena, recently described theoretically, namely:
  1. i)

    chaotic itinerancy = self induced switching among different slow manifolds

  2. ii)

    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.



Cavity Length Transverse Mode Gaussian Statistic Free Spectral Range Slow Manifold 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Plenum Press, New York 1991

Authors and Affiliations

  • F. T. Arecchi
    • 1
    • 2
  1. 1.Dept. of Physics of the UniversityFlorenceItaly
  2. 2.Istituto Nazionale di OtticaFlorenceItaly

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