Multistability of a two-component exciton-polariton fluid

We study the stability of a multicomponent exciton-polariton fluid under resonant excitation within the linear-response approximation of a generalized Gross-Pitaevskii equation. We show that two spatially homogeneous and independently tunable pumping lasers produce, for the same values of the system parameters, up to three stable solutions. Tristability is understood by noting that the cavity can be either lowly or highly populated and, in this second case, the largest part of the population lies in either one of the two components. Moreover, we discuss the different kinds of instabilities appearing at different pump intensities and compare them with the case of one-component fluids. Finally, we show that easily tunable multistable hysteresis loops can be performed by the system.