Polariton transport in one-dimensional channels

We study theoretically the transport of linearly polarized exciton-polaritons in a quasi one-dimensional microcavity channel separating two polariton condensates generated by optical pumping. The direction and value of mass and spin currents are controlled by the relative phase and polarisation of two condensates, as in the stationary Josephson effect. However, due to dissipation and particle-particle interactions, the current denisty is inhomogeneous: it strongly depends on the coordinate along the axis of the channel. A stationary spin domain can be created in the channel, its position would be sensitive to the phase difference between two bordering condensates.