Optical memories and transduction of fields in double cavity optomechanical systems

Using electromagnetically induced transparency we show how the opto-mechanical systems can be used both as memory elements as well as for the transduction of optical fields. We use a double cavity optomechanical system which facilitates such applications. By tuning the frequency of the second cavity one can produce output fields at a variety of frequencies. We present analytical results for the steady state behavior which is controlled by the power and the detuning of the field driving the second cavity.