Chaotic Dynamics Of Nondegenerate Cascade Two-Photon Lasers

Atomic coherence plays an important role in the interaction between photon and atoms . Many remarkable phenomena caused by atomic coherence are revealed, such as lasing without population inversion , electromagnetically induced transparency , slow and stopped light , quantum computation and quantum information processing, and inhibition of Lorenz strange attractor . Manipulation of atomic coherence now becomes an important technique to control quantum and even classical processes. Studies of the relations between atomic coherences and classical dynamics will provide deep insight in the fundamental physics.Although the dynamics of nondegenerate cascade two-photon laser was studied in the absence of atomic coherences and injected classical field, the dynamics of the system in the presence of atomic coherences and classical field has not been studied so far. Based on the cascade two-photon laser dynamic equation derived by using the technique of quantum Langevin operators with the considerations of coherently prepared three-level atoms and the classical field injected into the cavity, he numerically study the effects of atomic coherence and classical field on the chaotic dynamics of a two-photon laser. Lyapunov exponent and bifurcation diagram calculations show that the Lorenz chaos and hyperchaos can be induced or inhibited by the atomic coherence and the classical field via crisis or Hopf bifurcations.