Cavity optomechanics with whispering-gallery-mode optical micro-resonators

Abstract: Parametric coupling of optical and mechanical degrees of freedom forms the basis of many ultra-sensitive measurements of both force and mechanical displacement. An optical cavity with a mechanically compliant boundary enhances the optomechanical interaction, but also gives rise to qualitatively new coupled dynamics. As early as 1967, in a pioneering work, V. Braginsky analyzed theoretically the role of radiation pressure in the interferometric measurement process, but it has remained experimentally unexplored for many decades. Here, we use whispering-gallery-mode (WGM) optical microresonators to study these radiation pressure phenomena. Optical microresonators simultaneously host optical and mechanical modes, which are systematically analyzed and optimized to feature ultra-low mechanical dissipation, photon storage times exceeding the mechanical oscillation period (i.e. the "resolved-sideband regime") and large optomechanical coupling. It is demonstrated that dynamical backaction can be employed to cool mechanical modes, i.e., to reduce their thermally excited random motion. Utilizing this novel technique together with cryogenic pre-cooling of the mechanical oscillator, the phonon occupation of mechanical radial-breathing modes could be reduced to about 60 excitation quanta. The corresponding displacement fluctuations are monitored interferometrically with a sensitivity at the level of 10^-18 m/Hz^1/2, which is below the imprecision at the standard quantum limit (SQL). It is shown that optical measurement techniques employed here are operating in a near-ideal manner according to the principles of quantum measurement, displaying a backaction-imprecision product close to the quantum limit. An outlook on optomechanical experiments with crystalline WGM resonators and the effect of "optomechanically induced transparency" (analogous to electromagnetically induced transparency) is given.