In this paper, the effect of parametric amplifier pump phase noise on the cooling of a micromirror in an optomechanical system with an optical parametric amplifier inside the optical cavity is investigated theoretically. It has been demonstrated that the photon number distribution of a parametric amplifier near the threshold of instability leads to improved cooling of the micromirror. But due to the presence of the parametric amplifier, there is a resonance detuning frequency for transferring noise energy to the potential and kinetic energy fluctuations of the mirror which causes the mirror mechanical oscillation mode temperature to increase. In low quality factor cavities, this effect occurs in a nonequilibrium thermodynamic process, while in high quality factor cavities, this process is a thermal equilibrium one. The effects of the Lorentzian two-time correlations of laser phase noise on the mirror mechanical mode temperature are considered in this paper.
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