Analytical solution of a three-level atom coupled to four systems of N-two-level atoms

The analytical solution of a three-level atom interacting with four systems of N-two-level atoms is studied. The atomic inversion and the correlation function as applications of this model are discussed. In addition, the effects of the quantum numbers and the coupling parameters between spins on the atomic inversion and the correlation function are investigated. The analysis of results manifests that correlated behavior can be controlled by adjusting the coupling parameters between spins. Besides, we can use parameters as controller, by which the required behavior, whether classical or non-classical, is identified.