Electromagnetically Induced Transparency in Cavity Opto-Mechanics

The current research in nano mechanical systems is driven by the possibility of realizing the quantized motion of macroscopic systems.  Efforts are on to cool such systems to their ground state so that quantum optical effects can be realized. In the meanwhile the nonlinear optical studies of such systems is yielding remarkable results. We have rather surprisingly found the possibility of EIT in such systems opening up the possibility of applying all that one has learnt about EIT in last two decades. We discuss the EIT in both dispersively and reactively coupled nano mechanical systems. We also discuss the possibility of EIT at a single photon level which is required in connection with quantum memories.