Robust Quantum State Manipulation by Composite Pulses in Five-Level Systems

A scheme is proposed for achieving robust population inversion in five-level systems by means of composite pulses. An example of such a system consists of the magnetic sublevels with angular momenta $J_g=2$ and $J_e=2$. Through elaborately constructing the relative phases of pulse pairs, the composite sequences perform well in suppressing the uncorrelated pulse area errors. In particular, the five pulse-pair sequence possesses good robustness and a short evolution time. The composite sequences are further designed to compensate for a single type of pulse area errors to any desired order. This work provides a high-efficiency way for robust quantum state manipulation in five-level systems.