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A scheme is presented to optimize the optomechanical cooling of mechanicalresonator in instability regime. Based on the stability analysis, we uncovereda distinct bistable effect of photons and phonons, which can be used to realizea strong nonlinear effect even in the single-photon weak coupling regime.Considering the experimental realization, we investigate the sideband coolingin bistable regime with and without quantum nonlinearity. It is shown that thefluctuation of the steady state phonons can be excellently suppressed at arather low level due to the anti-rotating-wave effect, and it does not requirehigh quality factor of the cavity. Our scheme offers a new perspective foroptimizing the sideband cooling of mechanical resonators in the weak couplingregime.

Bistable cooling in optomechanical system