  The stimulated Raman adiabatic passage (STIRAP) shows an efficient technique
that accurately transfers population between two discrete quantum states with
the same parity, in three-level quantum systems based on adiabatic evolution.
This technique has widely theoretical and experimental applications in many
fields of physics, chemistry, and beyond. Here, we present a generally robust
approach to speed up STIRAP with invariant-based shortcut to adiabaticity. By
controlling the dynamical process, we inversely design a family of Hamiltonians
that can realize fast and accurate population transfer from the first to the
third level, while the systematic error is largely suppressed in general.
Furthermore, a detailed trade-off relation between the population of the
intermediate state and the amplitudes of Rabi frequencies in the transfer
process is illustrated. These results provide an optimal route toward
manipulating the evolution of three-level quantum systems in future quantum
information processing.
