The synchronization and stability of spinor polariton condensates

By taking account of the spin degree of freedom with varying the Zeeman splitting, we explore the possible synchronized states of spinor polariton condensates formed in a semiconductor microcavity. The interplay among nonlinear interactions, spin-flipping rates and energy splitting is theoretically investigated. Besides a minimum transverse-field induced spin-flipping rate required to form the synchronized state, we find that the interaction effect between polaritons is the dominant factor. Therefore, with the manipulation of the energy splitting between the two spin states, the spinor condensate initially synchronized with “elliptical” polarization may become two separated desynchronized and “circularly” polarized condensates. Moreover, the region and stability of synchronized states are discussed for various asymmetric pumping configurations.