Optics and Photonics Society of Iran

In this paper, we first consider the interaction between a trapped two-level ion with a single-mode quantized field. Then, via generalizing the model to the case in which N trapped ions interact with a single-mode field in the first vibrational sideband, we calculate the time evolution of the operators of the considered system. Then, by utilizing the noise operator approach and considering the thermal radiation of the trapping cavity, we deduce the time-dependent damping operator of the laser field which is arisen from the thermal radiation. Finally, by using the obtained noise operator of the laser field fluctuations, the evolution of the first-order noise correlation function of the field is evaluated.