Two-photon emission in coupled biexciton quantum dot–cavity system: Phonon-assisted model

We theoretically analyze the steady state emission spectrum and transient temporal dynamics in a coupled biexciton quantum dot(QD)–cavity system. For steady state, a phonon-assisted biexciton–exciton cascade model under continuous wave(CW) excitation is presented to explain the asymmetric QD–cavity emission spectrum intensities(intensities of cavity,exciton, and biexciton emission peak) in off-resonance condition. Results demonstrate that the electron–phonon process is crucial to the asymmetry of emission spectrum intensity. Moreover the transient characteristics of the biexciton–exciton cascade system under pulse excitation show abundant nonlinear temporal dynamic behaviors, including complicated oscillations which are caused by the four-level structure of QD model. We also reveal that under off-resonance condition the cavity outputs are slightly reduced due to the electron–phonon interaction.