Antibunching correlations in a strongly coupled exciton - photonic crystal cavity system: Role of off-resonant coupling to multiple excitons

摘要

We employ a master equation approach to study the second-order quantumautocorrelation functions for up to two independent quantum dot excitons,coupled to an off-resonant cavity in a photonic crystal - single quantum dotsystem. For a single coupled off-resonant exciton, we observe novel oscillatorybehaviour in the early-time dynamics of the cavity autocorrelation function,which leads to decreased antibunching relative to the exciton mode. With asecond coupled exciton in the system, we find that the magnitude and thelifetime of these oscillations greatly increases, since the cavity is then ableto exchange photons with multiple excitonic resonances. We unambiguously showthat this spoils the antibunching characteristics of the cavity quasi-mode,while the autocorrelation of the first exciton is unaffected. We also examinethe effects of detector time resolution and make a direct connection to aseries of recent experiments.