Quantum Tracking Control of Molecular Rotor Orientation is Singularity-free

Quantum tracking control aims to identify applied fields to steer particular observable expectation values along desired paths in time. The fields can be identified by inverting the underlying dynamical equations for the observables. However, fields found in this manner are often plagued by undesirable singularities. In this talk I will consider a planar molecular rotor and derive singularity-free expressions for the fields that steer the expectation value of the rotor’s orientation along desired trajectories in time. Simulations will be presented that utilize two orthogonal control fields to drive the orientation of the rotor along a series of designated tracks.