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

TL;DR

This paper explores how majorization influences various entropic measures in a three-level atom interacting with a coherent field, revealing relationships between majorization and localization in quantum systems.

Contribution

It introduces a novel analysis of majorization effects on multiple entropic functionals in a V-type three-level atom-field system, linking majorization to localization properties.

Findings

Majorization affects von-Neumann, Shannon, Wehrl, and Rènyi entropies.

Relations between majorization and localization of quantum states are established.

Results are verified for both continuous and discrete distributions.

Abstract

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.