Optimal stimulation of a conservative nonlinear oscillator: Classical and quantum-mechanical calculations

Abstract

A new method for nonlinear polychromatic resonant stimulation of conservative nonlinear oscillators is introduced. As an example we consider a Morse potential that serves as a model for the HF molecule. Numerical results show that a large energy transfer to such a conservative oscillator is possible under optimal stimulation with small driving fields. This makes selective excitation of specific modes possible. The classically determined optimal force was also applied to the corresponding quantum system, with similar results in energy transfer and dissociation.