Rogue waves in exciton-polariton condensates under homogeneous pumping

摘要

We predict the emergence of rogue wave solutions in one-dimensional exciton-polariton condensates under homogeneous pumping. We model the condensate dynamics in a microwire using the dissipative Gross-Pitaevskii equation for the polariton field, with considers attractive nonlinearity, coupled to the rate equation of the excitonic reservoir density. With the help of the direct ansatz method and similarity transformation, deformed first order rogue wave solutions are constructed and its dynamics analyzed. We show that the deformed rogue wave has a curved background controlled by the pump power and the strength of the nonlinear interaction of polaritons. Moreover, the maximal population of the polaritons appears where high energy of rogue wave is concentrated.