Dynamical evolution study of exciton-polariton Bose-Einstein condensate with vortex manipulation

For the exciton-polariton BEC system modulated by vortex light, we study its evolution based on the driven-dissipative Gross-Pitaevskii equation model. Via modified variational method, we first derive the twodimensional system's evolution pattern from the initially coherent state prepared by vortex light modulation for non-rotating states and rotating states with various angular velocities. We identify close qualitatively matched patterns by comparing our theoretically derived evolution patterns with that from pure numerical simulation, demonstrating the applicability of our theoretical treatment presented. The derived exciton-polariton evolution pattern formulation can then be used to guide experimental observations of vortex manipulation effects for the exciton-polariton BEC system, with the possible identification of quantum gyroscopic effects.