Master equations for semiconductor cavity‐QED

We present a quantum optics formalism to study the dynamics of a coherently‐driven semiconductor quantum dot interacting with an acoustic phonon bath and a high Q microcavity. A time‐convolutionless master equation is derived in the polaron frame, where multiphoton and multiphoton effects are included to all orders. As applications of the theory, we study the resonance fluorescence spectra and intensity power broadening of a driven quantum dot in the regime of semiconductor cavity‐QED. Pronounced signatures of electron‐phonon‐photon scattering are observed. Quantum trajectory simulations and effective phonon master equations help identify the underlying physics.