Double electromagnetically induced transparency windows in the.-type three-level atoms-assisted optomechanical system

We investigate electromagnetically induced transparency (EIT) in an optomechanical system that consists of a Lambda-type three-level atomic medium confined inside an optical cavity with an oscillating mirror in the one end. The atoms are driven by a quantized field that acts as a control field of the EIT system and the quantized cavity field is known as a probe field. It can be seen double EIT windows separated by an absorption peak at the center of the EIT window in the output probe field. We analyse in detail effect of the photon numbers of the control and probe fields, the phonon number and the frequency of the oscillating mirror on the transparency windows. The results show that the width of transparency windows increases with the increase of the photon number of the control field and the phonon number of the oscillating mirror. Also, it is shown that the full width at half maximum (FWHM) of the absorption peaks changes with changing the above-mentioned parameters.