Role of electron-phonon scattering on the vacuum Rabi splitting of a single-quantum dot and a photonic crystal nanocavity

We study the influence of non-Markovian electron-acoustic-phonon scattering on the vacuum Rabi splitting of a semiconductor single-quantum dot and a planar photonic crystal nanocavity. The regimes of strong coupling and side-coupled light transmission are explored as a function of temperature. At elevated temperatures, when the quantum dot has left the strong-coupling regime, a spectral splitting continues to be observed in transmission. The effects of non-Markovian scattering are shown to significantly vary the characteristic transmissivity compared to purely model Lorentzian line shapes for the electron-phonon interaction.