Research On Quantum Properties And Applications In Cavity Optomechanical And Cavity Magnomechanical System

Cavity optomechanics mainly studies the interaction between cavity field and mechanical moving objects,and has made many important advances in the fields of quantum optics,quantum information processing,and quantum sensing.In recent years,benefiting from the rapid development of semiconductor technology and nanotechnology,many interesting quantum phenomena in cavity optomechanics have been revealed,such as optomechanically induced transparency,fast-slow light,and ground state cooling.Secondly,the cavity optomechanics system has a wide range of applications in precision measurement.Through the interaction between the cavity field and the mechanical vibrator,it is possible to accurately measure the topological charge value,mass,and displacement of vortex beams.On the other hand,the cavity magnomechanical system formed by the interaction of optical field and magnon dipole has become a new research direction in the field of quantum optics.The cavity magnomechanical system have flexible adjustability and high spin density,providing a good platform for exploring macroscopic quantum phenomena and nonlinear effects.In this context,we mainly study quantum properties and their applications in precision measurement based on Laguerre-Gaussian rotating cavity and cavity magnomechanical systems.The specific research contents are as follows:Firstly,based on a double Laguerre-Gaussian rotating cavity system with atomic ensembles,the phenomenon of optomechanically induced transparency and its application in precision measurement are studied.The results show that the width of the optomechanically induced transparency window becomes wider with the increase of atomic ensemble,laser pumping frequency,and orbital angular momentum.The normal-mode splitting phenomenon occurs when the tunneling coupling strength is strong.We find that the distance between the peaks of the absorption on both sides changes nearly linearly with the pump laser power and the single atom-photon coupling strength.Additionally,we also propose a scheme for measuring the atom-photon coupling strength and orbital angular momentum.This research is of great significance in the field of high-precision measurement and quantum information processing.Then,based on the cavity magnomechanical system with optical parametric amplifier,the magnomechanically induced transparency and fast-slow light effects are studied.The results show that the width of the magnomechanically induced transparency window becomes wider by increasing the coupling strength between magnons and phonons.Furthermore,adding the gain of an optical parametric amplifier will cause an asymmetry in the absorption spectrum on both sides of the resonance frequency,and the peak value of the absorption spectrum will increase with increasing the gain of the optical parametric amplifier.By changing the phase of the optical parametric amplifier,the transmission characteristics of the absorption and dispersion spectra can be changed.In addition,changing the phase of the optical parametric amplifier can change the fast-slow light effect of the cavity magnomechanical system.