The Study Of The Sensitive Measurement In Cavity Optomechanical System

The interaction between light and matter has always been the focus of research in the field of quantum optics.Innovation and breakthroughs in related fields have emerged in an endless stream in theory and in experiment.Weak force detection using the interaction between optical field and matters plays an important role in theoretical and experimental researches.In recent years,the realization of gravitational wave detection has become a research hot spot.In particular,the successful detection of gravitational waves by the LIGO system has attracted people's great attention.This requires us to have higher accuracy in detection.Optomechanical system can be used to realize the entanglement,compression and synchronization between optical mode and mechanical mode.It is used in information transmission and manipulation.It is used for side-band cooling to prepare the ground state of the vibrator for ultra-sensitive detection and non-destructive measurement.In spite of the wide variety of optical systems,the optomechanical system has a series of excellent properties such as its high quality factor,large vibration frequency and ultra-light quality,and a relatively convenient preparation process,making the optomechanical system researches hot spots.In this thesis,we mainly study the optomechanical system based on the Fabry-Perot cavity type.Using the homodyne detection technology,we propose a scheme that can improve the detection of weak force,increase the sensitivity,reduce the noise,and increase the output spectrum intensity.This study might certain guiding significance for the weak detection of optomechanical in experiment.This article is divided into four chapters.In the first chapter,we introduced the basic knowledge of quantum mechanics and the basic knowledge of the optomechanical system,including the history of quantum mechanics and quantum optics,the conversion between three pictures in quantum mechanics,and quantum fluctuations.The optical pressure effect and the model of the cavity photometric system are introduced.In the second chapter,we introduced the basic theory and general processing methods of the cavity photodynamic system,including the Heisenberg uncertainty principle,the general processing method of Hamiltonian,the dynamic equation of the system,and the quantum Langevin equation.The derivation,cavity field input and output theory,etc..In the third chapter,we introduced the research background and the theory of the weak force detection of light power system.In Chapter 4,we propose a research scheme for sensitive detection in the dual-oscillator coupled mode.Using optical homodyne detection techniques,we obtain the system's effective susceptibility,noise magnitude,and output spectrum.Compared with no auxiliary oscillator,we found that when the optical cavity couples two oscillators,it can not only improve the detection sensitivity,but also reduce the noise and increase the measured output spectrum.This makes it possible to use the optomechanical system for better detection sensitivity.