Quantum statistics in a time-modulated exciton-photon system

Abstract

We consider a system consisting of a large individual quantum dot with excitonic resonance coupled to a single-mode photonic cavity in the nonlinear regime when exciton-exciton interaction becomes important. Quantum statistics of coupled exciton-photon modes is studied for two regimes of driving: a monochromatic input field and a field with periodically time-modulated amplitude. We show that sub-Poissonian statistics for both modes are realized in the case of monochromatic driving for transient and steady-state regimes in the presence of decoherence and cavity-induced feedback. We also demonstrate that variances of quantum fluctuations of photon and exciton numbers display oscillations in the case of modulated input. In this case, we show an improvement of the degree of sub-Poissonian statistics and antibunching for both modes at periodic sequence of definite time intervals in comparison with the case of the steady-state regime for monochromatic driving. We also observe the Wigner functions with negative values in phase space for a time-modulated exciton-photon system.