ABSTRACT
Building on Chapters 3 and 4, this chapter introduces the concepts of measurement-based quantum control of mechanical systems in the linearised approximation for the optomechanical interaction, including techniques such as feedback cooling and back-action evading measurements using both stroboscopic optical driving and parametric mechanical driving. To model these techniques we introduce the stochastic master equation approach. We then discuss the application of squeezed light fields and ponderomotive optical squeezing to overcome the standard quantum limit introduced in Chapter 3. These methods are important both to improve the precision of quantum sensors and for quantum state tomography of mechanical systems.
