Nonlinear ring-shaped waves in spinor polariton condenates

Abstract

Systems of interacting polaritons are known to support a rich variety of propagating states whose properties are essentially conditioned by the geometry of the potential and by the nonlinear nature of polariton-polariton interactions. We consider theoretically one-dimensional polariton ring accounting for both longitudinal-transverse (TE-TM) and Zeeman splitting of spinor polariton states and spin-dependent polariton-polariton interactions. We present the class of solutions which feature oscillations of the density in both spinor components and rotate with constant angular velocity. We show that the effects of the geometric phase arising from the interplay between external magnetic field and TE-TM splitting introduce chirality in the system and make solitons propagating in clockwise and anticlockwise directions non equivalent. This can be interpreted as solitonic analog of Aharonov-Bohm effect.