Nonlinear band-structure of an exciton-polariton condensate in a one-dimensional lattice

We study steady-states and nonlinear band structure of dissipative incoherently driven exciton-polariton condensate localized in periodic one-dimensional potential. Within the framework of mean-field description we predict existence of the persistent current Bloch states at the edge of Brillouin zone. Influence of the nonlinear band-structure on exciton-polariton condensate dynamics is discussed.