  We investigate the steady-state cooling dynamics of vibrational degrees of
freedom related to a nanomechanical oscillator coupled with a laser-pumped
quantum dot in an optical resonator. Correlations between phonon-cooling and
quantum-dot photon emission processes occur respectively when a photon laser
absorption together with a vibrational phonon absorption is followed by photon
emission in the optical resonator. Therefore, the detection of photons
generated in the cavity mode concomitantly contribute to phonon cooling
detection of the nanomechanical resonator.
