The Non-classical Properties Of Cavity Field In Fully Coupled Hybrid Cavity Optomechanics

This thesis,a hybrid cavity optomechanics system composed of an optical cavity,a mechanical oscillator,and an atom is studied.The effect of the oscillator on the non-classical properties of the optical field is examined.We first examined the second-order degree of coherence of the light field and found that it is mainly determined by the initial state of the light field and is also influenced by the initial state of the atom,and the oscillator has less influence on it.In the J-C model,when the light field is in the number state and the atom is in the excited(base)state,the photon exhibits antibunching effect in the light field,and the evolution curve is a periodic amplitude oscillation;when the light field is a coherent state,when the average photon number is large enough,it will show that the phenomenon of collapse and recovery occurred,and bunching and anti-bunching effects alternated.In the hybrid cavity optomechanics system,changing the number state of the oscillator does not change the non-classical properties of the light field,but only the evolution curve of the second-order degree of coherence of the light field will appear the modulation phenomenon.We also discussed the squeezing of light field and found that the oscillator has obvious damage to the squeezing of light field.In the J-C model,under certain parameters,continuous compression occurs for a long time in the light field state,and long-term continuous compression is destroyed after the oscillator is added.When the oscillator is in the occupied number state,there are multiple discontinuous compressions within a certain period of time,and the maximum amplitude of the compression also decreases with the increase in the number of phonons m,and the compression time also decreases.When the oscillator is in a coherent state,compression occurs only in the short time of the initial interaction,and as the average number of phonons<m>increases,the compression time becomes shorter and the maximum amplitude of compression also decreases.Finally,we also study the linear entropy of the light field.When the atom is in the ground state,the light field is in the digital state,and the oscillator is in the occupying number state,it is found that when the exciton frequency is the same as 2(?)gac,the evolution curve of the linear entropy of the light field will The phenomenon of collapse and recovery appears,the collapse area is kept in the maximally entangled state,the collapse time is inversely proportional to the coupling strength of excitons and oscillators,and the number of phonons m,the maximum value of the next collapse decreases.When the oscillator is in the coherent state,the linear entropy of the light field exhibits a periodic modulation phenomenon,and the amplitude of the next period also decrease.