The Non-classical Properties Of The Optical Field In Double Cavity Optomechanical System

This paper mainly studies the non-classical characteristics of the optical field and the PT symmetry of the double cavity optomechanical system.The system is composed of a gain cavity and a loss cavity and a weakly coupled mechanical resonator with the loss cavity.The equivalent Hamiltonian of the system is derived and the steady-state solutionis calculated.It is found that the condition of optical field compression is J??1/2.The optical field squeezing of the gain cavity and the loss cavity of the double cavity optomechanical system is studied.In this paper,we study the optical field squeezing under the condition of unbalanced gain-loss ratio and two-cavity detuning.It is found that the range of the range of the fluctuation of the orthogonal components of the optical field in the gain cavity and the corresponding detuning amount are small.Then the light field nonclassical correlation of double cavity optomechanical system is studied,mapped the classical correlation functions with detuning amount ?1 change image,analysis to the relation between classical minimum value when the detuning amount?1 size,and discusses the oscillator frequency,mechanical loss and the oscillator cavity coupling strength,driving field amplitude factors such as the influence of the classical correlation between light field.Examines the gain loss ratio imbalance and double cavity detuning amount of different time of the classic associated with detuning amount?1 change rule,found that two different light field detuning amount will not affect the relation between the classical and the lowest will only cause corresponding abscissa ?1 change,and gain loss ratio imbalance will not let the relation between classical minimum value 1.Finally,the entanglement characteristics of the optical field in the two-cavity optical force system are investigated,and the effects of the oscillator frequency,the coupling strength between the mechanical oscillator and the loss cavity,and the driving amplitude on the entanglement are investigated.In this paper,the entanglement between optical fields is studied when the gain-loss ratio is unbalanced and the two cavity detuns are different.Itis found that the condition for the system to have the entanglement characteristic is J??1/2,the system will only have the entanglement characteristic when the system is in the balance of the gain/loss ratio,and the detuning difference will not have the good entanglement characteristic.