Optimal control of classical systems with explicit quantum-classical-difference reduction

In this paper we employ optimal control theory to design an external driving field which reduces the difference between certain quantum observables and their classical counterparts in addition to achieving some dynamical objective. Because many different driving fields can achieve a similar target, there is the flexibility of asking that the field also cause quantum and classical observables to match. Several examples are shown using a one-dimensional model system which is highly nonclassical in the absence of a driving field. These illustrations demonstrate some of the richness of possibilities for obtaining good quantum-classical agreement for chosen observables even in the presence of other design criteria.