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 quantized cavity field and system driven by an external classical field. By applying some canonical transformations, we derive analytical solutions to Schrödinger equation for corresponding Hamiltonian. We have analyzed impact detuning parameters on system’s relative entropy coherence, Wigner function, Pancharatnam phase. Our findings suggest that parameter greatly affects coherence system, whereas may increase its maximum bounds. Furthermore, utilized function as tool measure quantumness classicality phase space. results indicate has greater than parameters. Additionally, observed rapid oscillations large values. It is worth noting reduces number jumps system.