A nonlinear quantum scheme of a single mode optical field and a four-level atom under energy dissipation effect

In this interferometry the geometrical phase, von-Neumann entropy, and non-classical features of a field interacting with a four-level moving atom in the presence of a Kerr medium were investigated. We highlight the influence of intensity-dependent coupling and energy dissipation to examine the temporal behavior of the geometrical phase, the statistical properties of the field as well as the von-Neumann entropy. The results show that the evolution of system dynamics, atomic von-Neumann entropy, and geometrical phase are strongly influenced by the Kerr medium, field mode structure, and atomic motion. Using empirically available parameters, we test this result, and many new items are discovered.