Second order dispersion by optimised rotation pulses

Optimal control has become a useful tool in designing pulses for complicated control problems, beyond the limit of classical hard pulses. Building on past research of broadband pulses performing effective unitary propagation (BURBOP), research presented here presents a class of pulse following adiabatic evolution via second order phase dispersion. This class of pulse performs a rotation around an axis on the transverse plane defined by the phase dispersion. Resulting pulses have equivalently lower energy/higher fidelity when compared to BURBOP.