Study On Symmetry Breaking Under The Coupling Of Rotating Double-well Potential

In this paper,we study the fundamental nonlinear modes in a dual-cylinder waveguide shell,which features a self-focusing Kerr effect,coupled by a double-well connection,and explore the phenomenon of spontaneous symmetry breaking.This double-well connection is twisted by a pitch rate and creates a spatial dependent linear mixing,which plays the role of an effective rotating double-well potential.The system we studied is a two-component system.In the two-component system,there are two types of symmetry breaking in the two-component system,namely waveform symmetry breaking and power symmetry breaking,called double symmetry breaking.Symmetry transition between the waveform and the power distribution of the fundamental nonlinear modes in this system can be induced both by the total power and by the rotation speed of the connection.Four types of modes — wave symmetry and power symmetry(WSPS),wave symmetry and power asymmetry(WSPA),wave asymmetry and power symmetry(WAPS)and wave asymmetry and power asymmetry(WAPA)— are found from the system.The dependence of these modes on the total power of the light field,the rotation speed and the coupling strength of the connection are systematically studied through the paper.The finding of this paper may offer potential applications in fabrication of new types of nonlinear all-optical devices.