Coupled optical and mechanical systems are very promising in micro- and nano- engineering due to large palette of new tunable proprieties [1, 2]. Here we analyze a coherent pumped artificial atom placed on nano-mechanical resonator inside an optical cavity. Flexion of nano-beam induce qubit deformation and hence the displacement of the qubit energy level. We show that the absorption of laser photon is following by correlated emission of the vibronic quanta and cavity photon. The quantum nature of correlation between vibrational and optical degree of freedom was investigated and violation of Cauchy Schwartz inequality was observed [3]. The time evolution of mean photon / phonon number was obtained and we show that quantum correlation persists with decreasing amplitude and small time shift between mean photon number maximum and mean phonon number minimum.