Photon scattering from a quantum acoustically modulated two-level system

We calculate the resonance fluorescence signal of a two-level system coupled to quantized phonon mode. By treating phonons in independent boson model and not performing any approximations their description, we also have access state evolution phonons. confirm validity our by simulating limit an initial quasi-classical coherent state, which can be compared experimentally confirmed results semiclassical limit. In addition, predict photon scattering spectra purely quantum mechanical states approaching phononic vacuum. Our method further allows us simulate impact light process on calculating Wigner functions. show that mode is brought into characteristic optical excitation process.