Optomechanical cooling and trapping in a three-mirror cavity

We present a theoretical analysis of optomechanical cooling and trapping of a moving mirror located inside a cavity with two fixed end mirrors, substantiating recent experiment and theory [1]. This three-mirror configuration turns out to have technological as well as physical advantages over the usual two-mirror set-up. We consider fully as well as partially reflective middle mirrors [2,3]. In the latter case we find two regimes, one dissipative and the other dispersive, depending on the placement of the middle mirror. This allows us to propose a two-color cooling and trapping scheme that improves on current configurations. \newline \newline [1] J. D. Thompson et. al, arXiv:0707.1724v2[quant-ph](2007). \newline [2] M. Bhattacharya and P. Meystre, Phys. Rev. Lett. \textbf{99},073601 (2007). \newline [3] M. Bhattacharya, H. Uys and P. Meystre, arXiv:0708.4078v1 [quant-ph] (2007).