Entropy squeezing for qubit - field system under decoherence effect

We study in detail the dynamics of field entropy squeezing (FES) for a qubit - field system whose dynamics is described by the phase-damped model. The results of calculations show that the initial state and decoherence play a crucial role in the evolution of FES. During the temporal evolution of the system under decoherence effect, an interesting monotonic relation between FES, Wehrl entropy (WE) and negativity is observed.