The Fluctuation Output Spectrum And Quantum Correlation Between The Mechanical Resonators In Cavity Optomechanical System

In recent years,cavity optomechanical system is one of the key research objects in the quantum optics and quantum information,it has important significance for ultra-precision measurement,sensitive sensors and quantum information processing.Based on the existing theoretical and experimental research status,this paper studies a cavity optomechanical system containing two mechanical oscillators,the optical cavity and one of the mechanical oscillator are coupled by radiation pressure,and the two mechanical oscillators are coupled by coulomb interaction.First,the fluctuation output spectrum of the cavity is discussed.When the radiation pressure coupling is relatively small,the existence of coulomb coupling will case the spectrum to split,a peak splits into two peaks,as the coulomb coupling increase,the distance between the peak and the two peaks becomes larger;when the radiation pressure coupling is large,the spectral line has been split into two peaks,as this time,the coulomb coupling only changes the peak and the distance between the two peaks.When the frequencies of the two mechanical oscillators are difference,the peak of the output spectrum will shift left or right,and as the frequency difference between the two mechanical oscillators increases,the distance between the two peaks also increases.Secondly,the entanglement and quantum discord between the two mechanical oscillators are discussed.With the increase of the radiation pressure coupling strength,not only the degree of entanglement can be enhanced,but also the entanglement phenomenon can be observed in a larger range of thermal phonons.It also enhances the quantum discord phenomenon.As the coulomb coupling strength and driving field strength increase,the number of thermal phonons decreases,the entanglement phenomenon and the quantum discord phenomenon gradually increase;the optimal quantum correlation phenomenon can be selected by adjusting the frequency of the mechanical oscillators;at substantially the same parameters under the value,the evolution law of quantum discord is basically consistent with the evolution law of entanglement.When there is quantum entanglement,the must be quantum discord,but when there is quantum discord,there is not necessarily quantum entanglement.