Dynamics Of Two-Photon Lasers And The Influence Of Atomic Coherence And Injected Classical Field

Arguably the most broad based revolution in the world view of science in the twentieth century will be associated with chaotic (nonlinear) dynamics. It has an important impact in all of these fields such as physics, chemistry, medicine, biology, geology and so on. Because of H. Haken, who first studied the dynamics of lasers, established the field of optical chaos.We introduce the basic concepts, development and corresponding studying fruits on nonlinear dynamics in the 1st chapter.In the 2nd chapter, We derive the dimensionless dynamic equations of two-photon lasers with∧atomic level configuration by using the quantum Langevin equation method with the considerations of atomic coherence and injected classical fields.In the 3rd chapter, we linearize the dynamical equations, and then analyze the stability and the chaotic dynamics of the two-photon lasers by calculating the stable solutions and the Maximum Lyapunov Exponent(MLE).In the 4th chapter, base on the consideration of atomic coherence and injected classical field, we analyze the dynamical properties of the system。Our results show that the Lorenz strange attractors and one focus strange attractors can exist in this system, and the chaos can be induced or inhibited by the injected classical fields via Hopf-bifurcations or crises, while the atomic coherence induces chaos via crises, and inhibit chaos via Hopf bifurcation or crises.