Absorption Properties Of Optomechanical Systems Coupled By Multi-path Interaction

In the optomechanical system,the optic cavity is coupled with the mechanical resonator by the radiation pressure,which can be used to realize mutual controllability between photon and phonon.Firstly,we investigate the absorption and transparency properties in double optomechanical systems,which can be tuned by the photonic interaction between two cavities and the phononic interaction between two mechanical resonators.It can be seen from the absorption spectrum that the sideband peaks are arose from the photonical interaction,while the symmetrical transparency dips from the phononical interaction.The sideband absorption peaks can be moved outward by the normal-mode splitting due to the strong coupling between two cavities,where the location of the peaks is determined by the strength of the tunnel coupling.The distance between two transparency dips is determined by the strength of the phononical coupling between two mechanical resonators linearly.When both the photonic and phononic paths are switched on,and meanwhile one interaction is much stronger than the other one,the stronger one will dominate the absorption properties,over the weaker one.On the contrary,when the phontonic and phononic interaction strength are comparable,the transparency dips around the resonant point show significant destructive interference.The above features indicate that the flexible tunability of the transparency can be realized in double optomechanical systems.Secondly,We investigate the response of the output field of the optomechanical system with two mechanical resonators coupled to an optical cavity via quadratic optomechanical interactions.Our study shows that double optomechanically induced transparency can be observed from the output field by adjusting the strength of the quadratic coupling optomechanical coefficient,which is achieved by controlling the position of the mechanical resonators in the cavity.The width of two transparency windows induced by the double optomechanical interaction varies with the cavity decay rate and temperature of the environment.