Abstract
The total phase and squeezing properties of light are important features in performing different tasks in quantum information processing such as quantum cryptography and teleportation. These quantum information tasks depend on finding the states in which squeezing in entropy can be created. In this paper, we investigate the entropy squeezing and total phase for a two-level system interacting with nonlinear coherent state (NCS). We explore the link between the total phase and squeezing properties of information entropy. We examine the influence of the atomic motion and the intensity-dependent function on the dynamics of the entropy squeezing and total phase. We show that there is a kind of correlation between the total phase and the entropy squeezing for stationary and moving atoms.