Quantum treatment of self-organization phenomena of excitons and biexcitons

Abstract

We present in this paper the quantum treatment of self-organization phenomena of excitons and biexcitons in the geometry of a ring cavity. Applying the adiabatic elimination method of the exciton and biexciton variables, the Fokker-Planck equation for the transmitted field was obtained. The spectrum of transmission and second order correlation function were calculated. Thus, the spectrum of transmission describes a hysteresis cycle character, where a narrow spectral line in the end of cycle can be observed. The phenomena of optical bistability and switchings of excitons and biexcitons are investigated theoretically.