Quantum Dynamics of Time-Dependent Optomechanical Systems!

Optomechanical quantum control theory is used in experimental research and various electronic technologies. The ability to construct apparatus on the mesoscopic scale and observe quantum effects has created a need for analytic methods that can accurately predict the time-evolution of these quantum systems. We present such a method, focusing on the time-evolution of driven optical and mechanical oscillators coupled through radiation pressure. We specify the circumstances under which the method yields exact results and propose a mean field theory for when it does not. We explore the behavior of the optomechanical systems as a function of their parameters and the form of the driving forces.