Double optomechanically induced transparency in a Laguerre-Gaussian rovibrational cavity

The optomechanically induced transparency (OMIT), an optomechanical analogue of electromagnetically induced transparency, is a very interesting interference phenomenon. Recently, the studies on the OMIT have been extended to double-OMIT by integrating more optical or mechanical subsystems such as mechanical oscillators, coupled cavities, and atoms in vibrational cavity. In this paper, we demonstrate the double-OMIT can be observed in Laguerre-Gaussian (L-G) rovibrational cavity which was proposed by Bhattacharya et al. (2008) [40], an analog of the double-OMIT in vibrational cavity. The double-OMIT in this research is naturally resulted from a single rovibrational mirror which vibrates and rotates simultaneously, rather than by integrating several subsystems as previously. We numerically examine the influence of the various factors on the double-OMIT and discuss its features and physics behind them in detail. In addition, we discuss the Stokes field generated via the four-wave mixing process in the L-G rovibrational cavity.