Abstract
Using the algebraic dynamical method, the dynamics of entanglement in an atom-field bipartite system in a mixed state is investigated. The atomic center-ofmass motion and the field-mode structure are also included in this system. We find that the larger values of the detuning and the average photon number, the smaller fluctuation of the entanglement, but the period for the evolution of the entanglement doesn't increase accordingly; It is also found that the fluctuation of the entanglement varies slightly with the atomic motion and oscillates fast with the value of the fieldmode structure and the transition photon number increasing. Moreover, a damping evolution of the entanglement appears when considering detuning and the atomic motion simultaneously.
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