Spin noise and anti-bunching of the spin components of Bose-Einstein condensates of exciton-polaritons [Invited]

We study theoretically the correlation properties of exciton-polaritons in planar microcavities under pulsed excitation. In particular, we analyze the quantum statistics of two pseudo-spin components of an exciton-polariton condensate in the course of its formation. Below the bosonic condensation threshold, the statistics of two components correspond to a chaotic thermal state, while above the threshold, the coherence is built up, and the photons emitted by different spin components of the condensate become anticorrelated. This spin antibunching effect can be evidenced by spin-resolved Hanbury-Brown and Twiss spectroscopy of polariton lasers.