  In this paper we study a system consisting of two nearly degenerate
mechanical modes that couple to a single mode of an optical cavity. We show
that this coupling leads to nearly complete (99.5%) hybridization of the two
mechanical modes into a bright mode that experiences strong optomechanical
interactions and a dark mode that experiences almost no optomechanical
interactions. We use this hybridization to transfer energy between the
mechanical modes with 40% efficiency.
