ABSTRACT
In the previous chapter we examined the linearised radiation pressure interaction between the optical field and mechanical oscillator in a cavity optomechanical system in the case that the optical cavity is coherently driven on resonance. This chapter introduces radiation pressure-based coherent coupling between light and a mechanical oscillator that occurs when an optical detuning is introduced. We discuss effects such as resolved sideband cooling, optomechanically induced transparency, and the generation of optomechanical entanglement and squeezed states of light that manifest from this coherent interaction. Along the way we introduce the concepts of Wiener filtering to optimally estimate the mechanical position and momentum from the output optical field, methods to verify and quantify two-mode Gaussian entanglement, and the polaron transformation important for later chapters involving single photon optomechanics.
