Elastic enhancement factor as a quantum chaos probe
arXiv:1211.1773 · doi:10.1016/j.physletb.2012.12.054
Abstract
Recent development of the resonance scattering theory with a transient from the regular to chaotic internal dynamics inspires renewed interest to the problem of the elastic enhancement phenomenon. We reexamine the question what the experimentally observed value of the elastic enhancement factor can tell us about the character of dynamics of the intermediate system. Noting first a remarkable connection of this factor with the time delays variance in the case of the standard Gaussian ensembles we then prove the universal nature of such a relation. This reduces our problem to that of calculation of the Dyson's binary form factor in the whole transition region. By the example of systems with no time-reversal symmetry we then demonstrate that the enhancement can serve as a measure of the degree of internal chaos.
5 pages, 1 figure, The version accepted for publication in Phys. Lett. B
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Cited by in corpus (5)
- Experimental investigation of distributions of the off-diagonal elements of the scattering and the Wigner's matrices for networks with broken time reversal invariance
- Experimental investigation of the elastic enhancement factor in a transient region between regular and chaotic dynamics
- How T-invariance violation leads to an enhanced backscattering with increasing openness of a wave-chaotic system
- Elastic Enhancement Factor: from Mesoscopic Systems to Macroscopic Analogous Devices
- Investigation of the enhancement factor in the regime of semi-Poisson statistics in a singular microwave cavity