Some features of the nonlocal correlation and geometric phase of the quantum system in two-mode nondegenerate entangled states

We propose a quantum two-level system interacting with a two-mode nondegenerate entangled states (TMNESs). The dynamical properties of entropy squeezing component is investigated based on atomic density matrix in the absence and presence of classical field effect. Moreover, the dynamical properties of the nonlocal correlation between the atom and TMNESs are studied and compared with geometric phase. We examine the influence of the initial interaction conditions and classical field on the evolution of nonlocal correlation, linear entropy and geometric phase. Furthermore, we discuss the link between the geometric phase, field purity and nonlocal correlation during the time dynamics. Finally, the results clarified that a geometric phase and entanglement are strongly affected by the classical field and detuning parameter.