Enhanced vibrational quantum dynamics beyond the rotating wave approximation

We investigate the vibrational dynamics of a quantum mechanical resonator when an ensemble of laser pumped two-level emitters are fixed on it. Beyond the rotating wave approximation with respect to phonon’s variables, one can obtain an interesting phonon quantum dynamics if the quantum emitter’s variables are faster than those describing the mechanical resonator. Particularly, for certain parameters, one can obtain an enhanced phonon emission as well as larger phonon–phonon correlations in the steady state.