Study On Absorption And Nonreciprocity Of A Three-mode Optomechanical System Within A Common Optical Reservoir

Optomechanical system(OMS)is a nonlinear quantum system which describes the interaction between the optical field and the mechanical resonator.Thanks to the rapid development of nanotechnology,the size of optical cavity and mechanical resonator in the optomechanical system can reach nanoscale.In such a small-scale optomechanical system,the quantum effect becomes very noticeable,so the research of optomechanical system has entered a rapid development stage,for example,optomechanically induced transparency(OMIT),optomechanically induced absorption(OMIA),optomechanically induced nonreciprocity(OINC),the realization of ground state cooling of mechanical resonator in optomechanical system and other fields have made great progress.As is well known,when the system is practically used,its surrounding environment will influence the system.Does the environment play a negative role in properties of the system? Therefore,we shall investigate the optical absorption and the nonreciprocity in a three-mode optomechanical system within a common optical reservoir.The three-mode optomechanical system discussed in this paper is composed of two optical modes and a mechanical mode,and two optical modes within a common reservoir are coupled to the mechanical mode by radiation pressure.1、First,we study the absorption of three-mode optomechanical system within a common optical reservoir.The results show that if the common optical reservoir is not taken into account,the system will appear the optomechanically induced transparency,and the strong control field on the left cavity will improve the transparency,and the strong control field on the right cavity will suppress the transparency.When the system is in the common optical reservoir,the system will appear the optomechanically induced transparency.The left strong control field can improve the transparency,OMITwindow widening and absorption peaks of OMIT window decrease.The right strong control field can also improve the transparency,but the absorption peaks of the OMIT transparent window increase.2、Then we study the nonreciprocity of a three-mode optomechanical system within a common optical reservoir.The dissipative reservoir devastates the quantum coherence of the system.However,the engineered common reservoir shared by subsystems can induce an incoherent coupling between the subsystems.It is found that if the relative phase of the optomechanical couplings obeys ? there exist twosymmetric nonreciprocal regimes which correspond to the forward and backward photon transmission directions.And the optical nonreciprocity for the phase isexchange symmetric with that for the phase 2-.Additionally,the optimalnonreciprocity and the nonreciprocal amplification can be reached only by adjusting the optomechanical couplings.To compare the nonreciprocal properties induced by the incoherent coupling with those in the case of the coherent coupling,we have considered the nonreciprocity in the optomechanical system where the two optical modes are directly connected by the tunneling.It is shown that in the case of the coherent coupling there exists only one nonreciprocal regime,and the optimal nonreciprocity reveals the exchange symmetry which is similar that in the case of the incoherent coupling.3、At the end of the paper,we also introduce the following work,such as phonon nonreciprocal,optical nonreciprocity in parity and time(PT)-symmetric system and other nonreciprocal types.