Multiple optomechanically induced transparency in the hybrid optomechanical system with the two-level and three-level atomic ensembles

Abstract We investigate the optomechanically induced transparency in a hybrid optomechanical system, which consists of two optical cavities and a mechanical resonator. The two-level and three-level atomic ensembles are trapped in the two optical cavities, respectively. We focus on the changes in the number and width of transparency windows and the position of transparent points under different conditions influenced by various interactions. Five transparency windows can be observed when all the interactions are on. The introduction of two-level and three-level atomic ensembles can increase the number of transparency windows and also provide better flexibility for controlling the width of the transparency windows. Specifically, the two-level and three-level atomic ensembles contribute one and two transparency windows, respectively. The stronger coupling results in the larger transparency windows and movement of the transparent points. Moreover, we also study the slow/fast light phenomenon through the variation of phase and group delay. These results may contribute to the research of nonlinear optics and have potential applications in optical signal processing and communication.