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Laser cooling of mesoscopic mechanical resonators is of great interest forboth fundamental studies and practical applications. We provide a generalframework to describe the cavity-assisted backaction cooling in the strongcoupling regime. By studying the cooling dynamics, we find that the temporalevolution of mean phonon number oscillates as a function of the optomechanicalcoupling strength depending on frequency mixing. The further analytical resultreveals that the optimal cooling limit is obtained when the system eigenmodessatisfy the frequency matching condition. The reduced instantaneous-statecooling limits with dynamic dissipative cooling approach are also presented.Our study provides a guideline for optimizing the backaction cooling ofmesoscopic mechanical resonators in the strong coupling regime.

Optimal limits of cavity optomechanical cooling in the strong coupling regime