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

Majorization effect on some entropic functionals, such as von-Neumann, Shannon, atomic Wehrl and R'enyi entropies are investigated of a V-type three-level atom, which interacts with a coherent field in a resonant cavity. Fidelity, purity and linear entropy are investigated for two quantum systems, which contain photon number distributions and Husimi Q functions. A relation between majorization and localization properties of continuous density functionals is established. The results are compared and verified for continuous and discrete distributions of an atom-field interacting system.