Chaos in Laser-matter Interactions

absorbed appear approximation associated assumed atom attractor average background becomes bifurcation called cavity chaos chaotic classical close computed consider constant corresponding coupling course curve defined dependence described determined dimension discussed distribution dynamics effect energy equations ergodic example excitation expect experimental experiments fact field Figure fixed point follows frequency function gain give Hamiltonian implies increased indicate initial conditions instability instance integrable interesting kicked laser levels limit linear logistic map Lorenz mechanics mode molecule motion nonlinear Note observed obtained occur optical origin oscillation overlap parameter particular period doubling permission perturbation phase space positive possible predictions probability pumped quantum chaos quantum mechanically Reference regions regular resonance sense separation sequence shown in Figure shows simple solution spectrum stable studied surface theorem theory tori trajectories transformation transition values variables vibrational write