Abstract
We study the dynamics of the spin and cavity field of the Tavis-Cummings model using quasi-probability distribution functions and second order coherence function, respectively. The effects of (non)-Markovian noise are considered. The relationship between the evolution of the cavity photon number, spin excitation, and atomic inversion under different quantum channels is observed. The equal-time second-order coherence function is used to study the sub-Poissonian behavior of light, and is compared with the two-time second-order coherence function in order to highlight the (anti)-bunching properties of the cavity radiation.