Depiction of an External Classical Field Effects on a Four-Level W-Configuration Atom Embedded in a Coherent Cavity Field

Abstract

This paper examines the dynamics of a W-configuration four-level atom in a quantized cavity field and the system driven by an external classical field. By applying some canonical transformations, we derive analytical solutions to the Schrdinger equation for the corresponding Hamiltonian. The effects of the external field parameters and detuning on the relative entropy of coherence, Wigner function, and Pancharatnam phase of the system are then analyzed. It is found that the external field parameter has a significant effect on the coherence of the system, while the detuning parameters may increase the maximum bounds of the coherence. In addition, the Wigner function is utilized to quantify the quantumness and classicality of the system in phase space. It is observed that the external field has a greater effect on the classicality of the system than the detuning parameters. Furthermore, the dynamics of the Pancharatnam phase displays rapid oscillations for large detuning values, whereas the external field diminishes the number of phase jumps.