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The interaction of a 2-level atom with a time-dependent cavity field (two-photon non-degenerate transitions) in the parametric amplifier-type is considered. Using the integrability conditions, taking into account the phase and coupling, a general solution of the model is obtained through the Schrödinger equation. The effects of the functional dependence of the coupling and the initial state of the 2-level atom on atomic inversion, the degree of entanglement, entropy squeezing are investigated. It is shown that the acceleration term plays an important role in controlling the functions behavior of the considered quantities. [ABSTRACT FROM AUTHOR]

In this article, we study the entropy squeezing and the nonlocal correlation between a nonlinear quantum system initially in the BGS (Barut-Girardello state) and 2LA (two-level atom). The numerical solution is used for solving the differential equations to obtain the density matrix. The relation between the atomic inversion, nonlocal correlation measured by the negativity and entropy are discussed. The effective of classical field and damping on the dynamical properties of the entanglement and entropy squeezing is examined. The results are shown that a high amount of classical field due to the entanglement reached to minimum values. Finally the proposed quantum system being more resistant to the damping effect in the absence of classical field than the presence of classical field. [ABSTRACT FROM AUTHOR]

An extended analytic approach is considered for optical Bloch equations in the two level atom interacting with laser light. The separation approach of coupled differential equations is always possible with a sequence of special transformation into the Riccati nonlinear differential equation. The conditions that permit an exact solutions of three coupled system are extracted in a natural manner. The case of sodium atom moving along the axis of a monochromatic wave is treated in some details including a discussion on the radiation pressure forces exerted by laser light in the transient regime. [ABSTRACT FROM AUTHOR]