Majorization effect on entropic functionals: An application to a V-type three-level atom-field interacting system

Abstract

The majorization effect on some entropic functionals, such as von-Neumann, Shannon, atomic Wehrl and Rényi entropies are investigated of a vee type three-level atom which interacts with a coherent field in a resonant cavity.Moreover, the fidelity, purity and linear entropy are investigated of two quantum systems, which contain photon number distributions (discrete) and Husimi Q function (continuous distribution). A relation between the majorization and localization properties of continuous density functionals is established. The results are compared and verified for continuous and discrete distributions.