Optical Nonreciprocal Response And Conversion In A Tavis-Cummings Coupling Optomechanical System

In recent years,cavity optomechanics(COM)has attracted a lot of attention due to its theoretical and experimental rapid development,which has produced many interest-ing phenomena,e.g.,mechanical squeezing,quantum entanglement,mechanical cooling,nonclassical correlations between single photon and phonon,photon blockade,and co-herent wavelength conversion.The common optomechanical systems study the two-body interaction between the cavity field and mechanical resonator.A novel interaction has been studied lately,which is the three-body interaction among the cavity field,mechanical resonator,and atom.Such hybrid systems are called Tavis-Cummings coupling optome-chanical system,which has attracted wide attention.In the hybrid system,the cavity field interacts with mechanical resonator and few-level system simultaneously,which can lead to quantum interference effects and amazing optomechanical phenomena,for instance,quantum repeater and sensing,etc.On the other hand,COM-based optical nonrecipro-cal phenomena and nonreciprocal devices have also attracted significant interest in the decades,which means that the transmission of signals in two opposite directions exhibits different characteristics.As we all know,the nonreciprocal effect relies strongly on the relative phase between two different paths,which can be usually reduced to the phase at a single path in most theoretical researches.When the phase satisfies the condition of destructive interference,the nonreciprocal phenomenon occurs,which is similar to the optomechanically induced transparency.Thus,This paper study the nonreciprocal response and conversion effect in a Tavis-Cummings couplings optomechanical system.In this thesis,we study the nonreciprocal response and conversion effects in a Tavis-Cummings coupling optomechanical system,which is composed of a trapped flexible membrane embedded an ensemble of two-level quantum emitters in an optical cavity.Resorting to the general linearization technique and the Fourier transform,we calculate the transmission matrix analytically and study the nonreciprocal response of the fluctuation signal in the frequency domain.In the present proposal,due to the introduction of the Tavis-Cummings coupling,we find that the phases of the two different paths are correlated each other and further we derive their relation analytically,which is greatly different from the previous studies.By selecting the system parameters appropriately,the prefect nonreciprocal response can be achieved.We also show that the nonreciprocity induces the feasibility to perform signal conversion among the optical mode,mechanical mode,and dopant mode,which implies that the system can be applied as a phonon-photon transducer and an optomechanical circulator.These interesting phenomena indicate that the Tavis-Cummings coupling model has potential applications in experiments,such as integrating the nonreciprocal devices.