Characteristic of quantum collapse and revival in the motion of a trapped atom for high detuning

In this paper the quantum dynamics of the trapped atom which acts with a st anding light field and a travelling light field is investigated. Evolution of the quantum mean energy of the ion with time displays the characteristic of collapse-revival which implies that the vibration states of the system have squeezing effect. The larger the nonlinearity of the system, the highe r the frequency of collapse-revival of the system, and the smaller the quan tum mean energy of the ion. The higher the intensity of the travelling ligh t field, the higher the degree of squeezing of the vibration states of the system can be observed.