  We show that how to generate propagation of spin degree in spin-symmetric
exciton-polariton condensates in a semiconductor microcavity. Due to the
stimulated spin-dependent scattering between hot excitons and condensates,
exciton polaritons form a circular polarized condensate with spontaneous
breaking of the spin rotation symmetry. The spin antiferromagnetic state is
developed evidently from the density and spin flow pumped by localized laser
source. The low energy spin current is identified where the steady state is
characterized by the oscillating spin pattern. Finally, we predict via
simulation how to dynamical generation of phase slip where ring-shape phase
jump shows the behavior of splitting and joining together.
