Controlling of the light in photonic resonator lattice: Quantum chaos approach

Being able to control the spatial flow of the photons is a desired technology because of the applications in nanophotonics. Herein, a theoretical analysis of the controlling of the light in a photonic resonator lattice is performed by employing effective magnetic field and effective electric field. The results reveal that only by applying various spatial distributions of the phase modulation, and thus nonuniform effective magnetic field, fully localization for light does not take place. We find that such a localization is obtained by adding an effective electric field. Also, by employing multifractal analysis and level spacing distribution we have reported a certain region for lattice width, at which the flow of the photons tends to approach to localized states. Finally, using level spacing distribution, we have indicated that by adding the effect of effective electric field besides effective magnetic field a dynamic phase transition occurs from partially delocalized (chaotic) phase to totally localized phase with Poisson distribution and our system becomes stable.