It is shown that an optical parametric amplifier inside a cavity can considerably improve the cooling of the micromechanical mirror by radiation pressure. The micromechanical mirror can be cooled from room temperature 3000.3em0exK to sub-Kelvin temperatures, which is much lower than what is achievable in the absence of the parametric amplifier. This is further illustrated in case of a precooled mirror, where one can reach millikelvin temperatures starting with about 10.3em0exK. Our work demonstrates the fundamental dependence of radiation pressure effects on photon statistics.
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Huang et al. (2009) studied this question.