Self-referenced stabilization of temperature of an optomechanical microresonator

We show that the average temperature of optical and mechanical modes of an optically transparent microresonator can be stabilized to a pK/Hz level, a much lower value compared with the fundamental thermodynamic limit, without the need for an external temperature or frequency reference. The proposed temperature stabilization technique, based on the interaction of mechanical and optical modes with different sensitivities to the temperature as well as dimensions of the resonator, is promising for reaching quantum limited performance in optomechanical oscillators and lasers that involve optical microresonators.