Rogue waves generated through quantum chaos

Abstract

In this work, by means of analytic theory and ab-initio simulations, the generation of rogue waves was investigated by exploiting the phenomenon of quantum chaos. In particular, the light motion under irreversible conditions is studied and a new avenue for the generation of Rogue waves in linear optical microresonators that do not possess any randomness in the refractive index is demonstrated. In these systems, light undergoes a chaotic scattering and exhibits deviations from Rayleigh distribution when suitable output channels are introduced. Deviations from Rayleigh distribution appear as a classic “L” shape tail, which is the signature of the generation of rare events in the structure. Such events manifest themselves as strongly localized Rogue waves, whose spatio-temporal structure is studied by finite difference time-domain (FDTD) simulations. This phenomenon is fully driven by chaos, and provides a novel framework to theoretically and experimentally investigate the formation or rogue waves. Quite interestingly, the process increases the coherence of light and leads to the generation of extremely localized rogue waves with subwavelength features. In particular, the formation of rogue waves whose extension is approximately 0.2*λ, with λ being the internal wavelength inside the material with the highest refractive index, was observed.