Controllability of shock waves in one-dimensional polariton condensates

Abstract

In one-dimensional incoherent pumped exciton–polariton condensates, we realize the generation and control of supersonic shock waves. By choosing a suitable initial input wave, we obtain the region of existence of various shock waves as a function of the phase of the initial wave, the coefficient of polariton interaction, the coefficient of the interaction between polariton and reservoir and the condensation rate and intensity of pumping. Using these results, we discuss the effect of different parameters on shock waves composed of two shock waves, and find that the gain and loss will result in a sloping platform between two waves. In addition, we also consider the effect of the non-adiabatic approximation and the diffusion coefficient of the reservoir on the profiles of the shock waves. We find that the non-adiabatic approximation will result in some small oscillations on the uniform background, and the platform between two waves becomes flat; however, the diffusion effect of the reservoir will clear these small oscillations and tilt the platform. Our results may pave the way to control shock waves in an incoherent pumped exciton–polariton system.