The Theoretical Studies Of High-order Sidebands Generation In Hybrid Magnon System

Magnon-quantization of spin wave induced by magnetic ordered collective excitation,whose characteristics can be varied by the choice of the magnetic material,the shape of the sample as well as the orientation and size of the applied biasing magnetic field,is a collective excitation of the electron spin system in a magnetic solid.Recently,gyromagnetic ferrite yttrium iron garnet(YIG)is much favorite by researchers due to the rich linear and nonlinear properties,which makes it an excellent object for studying physics.Furthermore,the magnon has good tunability and compatibility with other degrees of freedom,thence has enormous potential in realizing the information conversion between different information carriers.Building hybrid magnon system with simple structure and diverse performance is the hot field.We focus on the magnon nonlinearity induced the effect of sidebands generation,and reveal the potential physically mechanism of a robust high-order sidebands generation from the aspect of magnon dynamical phase transition.The main content is as follows:First,we quantitatively analyze the magnon Kerr nonlinearity and magnetostrictive effect induced the first-,second-order sidebands in the cavity-magnon system and cavity-electro-magnomechanical system,respectively.Using the perturbation method and the input-output relationship,the analytic expression of amplitude of sidebands are obtained.Then we study the effect of parameters on the efficiency of the sidebands generation.Next,we give the high-order sidebands output spectrum by numerical simulations which proves the fact that the perturbation approximation is valid to study the low-order sidebands.Second,we propose a plan for realizing the magnon dynamical phase transition in a cavity magnomechanical system with low power and weak coupling by involving a microwave parametric amplifier.From the perspective of magnon dynamical phase transition,by calculating the fixed point of magnon phase space,we not only confirm the applicable range of perturbation method,but also reveal the underlying physicalmechanisms of robust high-order sidebands generation.