Some information studies of some matter-field interactions: Entanglement of three-level atoms and other issues

In this book, we study the interaction between a two-mode cavity field and three-level atom in different configurations in different cases for the atom which initially may be prepared in the excited state or the superposition of states. The field may be initially prepared in coherent, squeezed coherent or binomial states. We also, study the interaction between the two-mode field and a five-level atom in (Double Lambda) configuration. We studied the effect of Stark shift contributions and the effect of damping of both atom and field. The field passes through a Kerr medium which changes the propagation properties of the field. We investigate some physical statistical properties of the system such as atomic inversion, Mandel Q-parameter and the second order correlation function to study bunching and anti-bunching effects. We also investigate von Neumann, purity, Shannon entropy and concurrence to study the degree of entanglement. Husimi Q-function is studied to give a classical representation of the system state. We discuss the laser cooling of atoms through momentum increment and momentum diffusion.