Double Transparency And Nonreciprocal Transmission Induced By DM Interaction In An Antiferromagnetic Cavity Optomagnonic System

Cavity optomagnonic system is a very promising quantum platform,which is consists of an optical cavity and a magnetic material,the interaction between the two modes is optomagnonic coupling.The cavity optomagnonic system can be classified as ferromagnetic and antiferromagnetic cavity optomagnonic systems,compared with ferromagnet,antiferromagnet has more advantages in information processing,however,only a few researches of the antiferromagnetic cavity optomagnonic system are reported.Dzyaloshinski-Moriya(DM)interaction,which is also known as anti-exchange interaction,is a very important and ubiquitous exchange interaction in magnetic materials,but there is no report about the effects of DM interaction on cavity optomagnonic system.In order to solve these problems,we consider an antiferromagnetic cavity optomagnonic system with DM interaction,the effects of DM interaction on the transmission spectra of the probe field and the nonreciprocal transmission induced by DM interaction are investigated.On the other hand,a quantum system which interacts with the environment can be described by parity-time(PT)-symmetry conveniently.The physical information of a system can be shown more comprehensive by it’s dynamics,so the dynamics of the PT-symmetric-like optomechanical system is investigated in this paper.Its main contents is as follows:The basic researches of cavity optomagnonic system are given in first part.Based on the spin wave theory,the second quantized Hamiltonian of optomagnonic coupling,which is originated from the scattering of light by a magnetic material,is derived under the constraint of magnetic point group.Thus,the expression of the Hamiltonian of optomagnonic coupling can be obtained when the magnetic point group of the magnetic material is given.Then,optomagnonically induced transparecy(OMIT)is studied in both ferromagnetic and antiferromagnetic cavity optomagnonic systems.The results shows that the width of the transparent windows increase with the optomagnonic coupling strength.In addition,in the antiferromagnetic cavity optomagnonic system,the magnon dark mode effect of the system can be broken by an external magnetic field,leads to double optomagnonically induced transparency(double OMIT).In the second part,the effects of DM interaction on the OMIT and the nonreciprocal transmission induced by it are investigated in an antiferromagnetic cavity optomagnonic system.It is found that the DM interaction can also break the magnon dark mode effect and realize the double OMIT.The phase ζ of the effective coupling coefficient m3 controls the switch from single transparent window to double transparent window,and both the width and distance of the two transparent windows increase with |m3|.The nonreciprocal transmission of energy can be created by the interference between the effective coupling of DM interaction and the optomagnonic coupling.The transmission is reciprocal(nonreciprocal)when the phase ζ = nπ(ζ= nπ),and the intensity of the nonreciprocal transmission can be control by |m3|.The nonreciprocal transmission in the system is physically explained by the scattering probability amplitudes,and the conditions of optimal nonreciprocal transmission are obtained according to the relevant analytical expressions.The dynamics of a PT-symmetric-like optomechanical system is studied in third part.The results show that the energy exchange between the optical cavity and the mechanical oscillator rapidly in the PT-symmetric regime,but slowly in the broken-PT-symmetric regime.When the system is asymptotically stable,the average displacement and particle numbers approach to their steady-state value with time.When the system is finite-time stable,there are constant amplitudes of physical quantities.And average values increase exponentially with time when the system is unstable.Otherwise,the same results can be obtained in the system which similar to this chapter.