Entanglement of a three-level trapped atom in the presence of another three-level trapped atom

A new version of two multi-level trapped atoms interacting with laser fields is under consideration. This system is based on a three-level trapped atom interacting with laser fields in the presence of another three-level trapped atom taking into account the time-dependent atom-field couplings and phase shift. The entanglement due to the concurrence is calculated and its time evolution phenomena is demonstrated within the framework of the presented theory. Our results establish an explicit relationship between the concurrence and the entanglement through the two three-level atoms and the fields interaction. We show that different nonclassical effects arise in the dynamics of the atomic population inversion, due to the initial states of the system as well as the values of the Lamb-Dicke parameter.