The Influence Of The End Mirror Vibration On The Evolution Properties Of Atom And Cavity Field

In this paper, we study the cavity optomechanics system is a three body system composed of a two level atom, light field and the end mirror. The main work of this paper is to explore the influence of the end mirror vibration on atomic occupancy, atomic linear entropy and the second order coherence degree of the light field.We found when the initial state of cavity field in Fock state, the end mirror in vacuum state and the two-level atom in ground state, because of the vibration of the end mirror, the intensity distribution in the cavity is changed and then cause the evolution of the atomic occupancy and the atomic linear entropy is no longer a simple cosine oscillation. The evolution of the second order coherence degree of the light field is no longer a periodicity amplitude oscillation mode. When the frequency of the mirror is equal to the frequency of the dressed atom, the evolution curves show regular periodicity modulation phenomenon. The modulation frequency is proportional to the coupling strength of the oscillator and the light field; And in the case of non-resonance, the modulation frequency of evolution curve is proportional to |△(n)|,the amplitude modulation amplitude is inversely proportional to |△(n)|,and the mean value of the atomic linear entropy decreases. But when the two-level atom in superposition state, also because of the influence of the vibration of the end mirror, although the evolution of the atomic occupancy,the atomic linear entropy and the second order coherence degree of the light field can also be modulated, but when ωm=Ω(n)+Ω(n+1)/2, the modulation frequency of the evolution curve becomes larger, the maximum value of each modulation is no longer equal, and the regularity and periodicity of the modulation phenomenon are destroyed; The mean value of the evolution of the atomic linear entropy is increased; And the larger the coupling strength between the end mirror and the light field, the more irregular the modulation curve, the mean value of the atomic linear entropy increases.when the initial state of cavity field and the end mirror all in Fock state, the two-level atom in ground state, when the frequency of the mirror is equal to the frequency of the dressed atom, the evolution curves of the atomic occupancy, the atomic linear entropy and the second order coherence degree of the light field show collapse and revival. And the stronger m and gcm, the shorter the collapse and revival time. When in the case of non-resonance, and then the collapse and revival disappears, the evolution curves show periodicity modulation phenomenon, the modulation frequency of evolution curve is proportional to |△(n)|,the amplitude modulation amplitude is inversely proportional to |△(n)|.When the two-level atom in superposition state, when ωm=Ω(n)+Ω(n+1)/2, the regularity of evolution curve is dist--royed, the evolution curves of the atomic linear entropy, the atomic occupancy and the second order coherence degree of the light field gradually decrease with time; The greater the number of oscillators, the greater the modulation frequency. With the increase of gcm, the amplitude of the evolution curve gradually decreases, and the mean of the atomic linear entropy increases gradually..