Electromagnetically-Induced Transparency in Optomechanical Systems with Bose–Einstein Condensate

We study theoretically electromagnetically-induced transparency (EIT) in an optomechanical system that consists of a Bose–Einstein condensate (BEC) trapped inside a Fabry–Perot cavity driven by the laser field. The quantized laser field interacts with the collective density excitations (Bogoliubov mode) of the condensate. The phenomenon of electromagnetically-induced transparency is observed in the output of the probe laser field. We show that the probe laser field can efficiently be amplified or attenuated depending on the interaction of the BEC with the pump laser field. Furthermore, we explain the effect of atom–atom interaction on the transparency window and show that for increasing atom–atom interaction the transparency window increases.