Resonance curve and speed-gradient design of control algorithms for dissociation of diatomic molecule ensembles

Two methods for dissociation of diatomic molecules based on nonperiodic excitation generated by feedback control mechanism are described and analyzed by computer simulation for classical and quantum-mechanical ensembles. The first method of control design uses nonlinear resonance curve of the system to fulfill the resonance conditions at any time of excitation. second method is based on the speed-gradient principle. Implementation of the proposed methods by pulse laser control is described. Efficiently of the proposed methods is demonstrated by the example of hydrogen fluoride (HF) molecule dissociation. Simulations confirmed that new methods are more efficient than the existing algorithms based on harmonic (monochromatic) and linear chirping excitation both for the model case of single molecule and for an ensembles of molecules. It is shown that, the dissociation rate for the quantum-mechanical ensemble is just a few percent slower that the one for the classical ensemble. It justifies using classical models for feedback control design in the dissociation problem.