Realizing Coherent Control Of Double-Cavity Optomechanical System By Coulomb-Interaction

Modern physics has two important branches: relativity and quantum mechanics.Quantum mechanics is the basis of a series of disciplines,such as atomic physics,solid physics,particle physics,and so on,its significance is self-evident.Quantum optics,as an important branch of quantum mechanics,has always been the frontier and hotspot of research.In 1960 s,the appearance of laser made the light pressure which is weak and not easy to detect can be utilized.In the FP cavity,the optical pressure effect makes the optical degree of freedom couple with the mechanical degree of freedom,forming the optomechanical system.With the continuous development and progress of nanotechnology and semiconductor technology,the size of optomechanical system can reach micro and nano scale.Optomechanical system can show pure quantum effect,which can verify the basic laws of quantum physics,make accurate measurements,and study the quantum properties of mesoscopic materials and so on.In addition,the echo wall mode microcavity and photonic crystal microcavity with a higher quality factor and a small mode volume have been invented,which have achieved fruitful results in the field of cavity quantum electrodynamics,acousto-optic coupling,high sensitivity biochemical sensing,low threshold laser and so on.Based on the basic theory of photodynamics,the double-cavity optomechanical system driven by two strong driving light and two weak probe light is explored in the work.The system consists of a high quality FP cavity and two mechanical oscillators.The two mechanical oscillators are both charged with charge and produce Coulomb-interaction.The dissipative oscillator is placed in the cavity and has perfect reflection,so the FP cavity is divided into two independent optical cavities.The gain oscillator is located outside of the cavity.According to the total Hamiltonian of the system,the quantum Langevin equations are obtained and the steady-state mean values of the system operators can be acquired by factorization approximation.Then each operator is decomposed into the sum of the mean value and the small fluctuation,so the linearized quantum Langevin equations are obtained.After a series of reasonable simplification and assuming the steady state solution of Langevin equations,the Langevin equations are solved.Finally,according to the input and output relations of the optical cavity,we get the output field components that we are concerned about.On the premise of selecting reasonable system parameters for numerical simulation,the coherent perfect absorption,coherent perfect transmission and output signal amplification can be realized in the system by adjusting the parameter corresponding to the Coulomb-interaction.In other words,we can control the dynamic propagation characteristics of the probe field.As we all know,the optomechanical system has important applications in quantum information processing and quantum communication,and has the advantages of easy storage and fast transmission.Therefore,this dynamic control provides a theoretical reference for the manufacture of new type of photonic devices,such as photon switch,photon routing,and so on,which is of great significance to promote the development of quantum information network.