Four-wave Mixing Mediated Synchronization of Localized Polariton Condensates

The Letter is devoted to new frequencies generation and its role in the synchronization of two spatially separated polariton condensates affected by the coherent pump with the frequency detuned from the frequencies of the condensates. We focus on the case where the distance between the condensates is so long that their interaction through the evanescent tails is negligible. By numerical simulation we show that the four-wave mixing of the polaritons with the coherent drive produces the free propagating polaritons that can mediate the inter-condensate interaction resulting in the phase-locking of the condensates.