Investigations On Transparency And Quantum Sensing Based On The Hybrid Cavity Opto-magnetomechanical System

With the continuous in-depth study of the interactions between light and matter,hybrid cavity opto-magnetomechanical systems have attracted more and more attention.The cavity optomechanical systems use high-quality optical microcavity to enhance the optical radiation pressure between the optical field and the mechanical oscillators.The cavity magnomechanical systems benefit from the high spin density of spin waves,and the coupling between magnon modes and microwave photons can achieve strong or even ultrastrong coupling.All of these provide an excellent platform for the study of the strong interactions between light and matter.The researches based on the nonlinear interactions in the opto-magnetomechanical system,including magnetostrictive force,magnetic dipole interaction,optomechanical interaction,cause a lot of interesting phenomena,such as magnomechanically induced transparency,optomechanically induced transparency,bistability,magnon Kerr effect and optical chaos,etc.In this thesis,we mainly discuss the optical response of the system such as the absorption spectrum of the detection field and the group delay of hybrid cavity opto-magnetomechanical systems based on the quantum optical theory and the standard input-output theory,and the specific research is as follows:First,we study the optomechanically induced transparency and Kerr effect in a hybrid cavity optomechanical system,which contains a Kerr-down-conversion nonlinear crystal and two optomechanical cavities.The results show that the strong coupling between the two cavities leads to the orthogonal mode splitting phenomenon in the output spectrum.In addition,the precision measurement of the nonlinear gain and tunnel coupling strength can be achieved the frequency position and height of the right absorption peak.Moreover,when the tunnel coupling is strong,the existence of Kerr-down-conversion nonlinear inhibits the normal mode splitting.Second,based on a hybrid cavity magnomechanical system,we focus on the magnomechanically induced transparency phenomenon and fast-slow light effect.We can observe magnomechanically induced transparency and magnetically induced transparency due to the photon-magnon and phonon-magnon couplings.We further investigate the effect of atomic ensemble on the absorption spectrum.The results show that better transparency can be obtained by choosing appropriate atomic ensemble parameters.At the same time,a new scheme for measuring the atom-cavity coupling strength is established.This result provides practical value for precision measurement.Besides,we also discuss the phenomena of slow-light propagation and Fano resonance,the conversion between slow light and fast light can also be achieved by adjusting the atom-cavity coupling strength.Third,we study the multiple transparent windows phenomenon and fast-slow light effect in a coupled cavity-magnonic system.The influence of each coupling coefficient in the system on the absorption spectrum of the detection field is investigated.The results show that different numbers of transparent windows and better transparency effect can be obtained by adjusting the system parameters.Moreover,a precision measurement method of the interaction strength between the two cavities is proposed through the height and width of the absorption peak.In addition,the conversion between fast and slow light effects can be realized by adjusting the system parameters.This scheme has important guiding significance in the research of precision measurement and optical switch design.