Abstract
We present the study of the dynamics of a two-ring waveguide structure with space-dependent coupling, linear gain and nonlinear absorption; the system that can be implemented in polariton condensates, optical waveguides and nanocavities. We show that by turning on and off local coupling between rings, one can selectively generate a permanent vortex in one of the rings. We find that due to the modulation instability, it is also possible to observe several complex nonlinear phenomena, including spontaneous symmetry breaking, stable inhomogeneous states with an interesting structure of currents flowing between rings, the generation of stable symmetric and asymmetric circular flows with various vorticities, etc. The latter can be created in pairs (for relatively narrow coupling length) or as a single vortex in one of the channels, which later alternates between channels.
Highlights
IntroductionCoupled microrings (microdisks, or more generally microcavities) are standard basic elements in diverse physical applications
Coupled microrings are standard basic elements in diverse physical applications
Like in the case of any coupled subsystems, the characteristics of coupling between microrings may strongly affect the stationary regimes, as well as the dynamics supported by the system
Summary
Coupled microrings (microdisks, or more generally microcavities) are standard basic elements in diverse physical applications. In optics, they are used for nonreciprocal devices [1], switches [2], loss control of lasing [3] and ring lasers [4,5], to mention a few. It is of natural interest to understand how the characteristics of coupling affect the field distribution and dynamics inside the ring cavities. This is the question that is addressed in the present work.
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