Quantum Optical Effects In A Dual-cavity Hybrid Optomechanical System

In the past few decades,optomechanical system has largely focused on simple optomechanical systems that are coupled by nano-optical cavities and nano-mechanical vibrators.When using a laser to drive the system,the radiation pressure generated by the circulating light in the cavity expects the mechanical vibrator inside the optical cavity to change its equilibrium position,and the vibration of the mechanical vibrator will in turn change the intensity of the circulating light.For this reason,many interesting optical phenomena can be observed in optomechanical systems,such as mechanical normal mode splitting,electromagnetic-like induced transparency,self-cooling of microcavity mirrors,and control of optical signals.After years of development,the multi-mode optomechanical system has attracted widespread attention through the coupling of two or more optical or mechanical vibration modes.This paper takes the dual-cavity optomechanical system as the research object,couples the optical cavity containing atoms with the optical cavity containing mechanical oscillators,and drives the system with two strong pump light and one weak probe light,it is hoped that the optical characteristics in one cavity can be effectively controlled by adjusting the parameters of the other cavity.In this paper,the four-wave mixing effect,slow light effect,and optical bistability effect in the coupled dual-cavity optomechanical system are discussed in detail,and their potential applications in the field of quantum optics are analyzed.First,the four-wave mixing effect in the dual-cavity optomechanical system is studied.The calculation results show that when the pump light of the right cavity is turned off and the pump light of the left cavity is turned on,a very narrow four-wave mixing peak will appear in the spectrum,which is conducive to improving the detection resolution,so the system can achieve high sensitive quality detection;increasing the cavity-cavity coupling strength,the atom-cavity coupling strength,and the oscillator-cavity coupling strength,the strength of the four-wave mixing can be significantly increased;in addition,by adjusting the positive and negative of the atom-pump detuning,the four-wave mixing signal can be easily turned on or off in the near resonance region,this phenomenon shows that the system can realize a controllable four-wave mixing switch;in the end,changing the cavity leakage rate,the four-wave mixing intensity will also occur obvious changes.These research results show that the dual-cavity optomechanical system can be used as a mass sensor and an all-optical switch.Secondly,the slow light effect in the hybrid dual-cavity optomechanical system is discussed.It was found that when the system was driven only by the right pump light,electromagnetically induced transparency would occur,while when it was driven by only the left pump light,it would exhibit electromagnetically induced absorption phenomenon;Moreover,by increasing the cavity-cavity coupling strength and the atom-cavity coupling strength,the electromagnetic induced absorption phenomenon can be converted into an electromagnetic induced transparency phenomenon;In addition,it is found that the phase of the probe beam changes rapidly as the probe-pump detuning increases;It is observed that by adjusting the cavity-cavity coupling strength and the atom-cavity coupling strength,the group delay of the probe beam will change significantly,that is,the probe light will change from slow to fast.Finally,the optical bistability effect in the hybrid dual-cavity optomechanical system is also discussed.The research results show that when the right pump light is turned off and only the left pump light is turned on,the optical bistability behavior will only occur when the cavity-pump detuning and the left pump power reach a certain threshold;In addition,by adjusting the cavity-cavity coupling strength,atom-cavity coupling intensity,oscillator-cavity coupling intensity,atom-pump detuning and cavity leakage rate,the power threshold of optical bistability and bistable region can be effectively controlled.These research results show that the coupling system can be used to realize bistable switches,and therefore has potential application value in quantum communication.