SU(3)-transformation-based inverse engineering for fast population transfer in three-level systems

Abstract We propose a scheme to inverse engineering the Hamiltonian of driven three-level systems with two-photon resonance by employing a SU(3) transformation. The protocol is then introduced to explore nonadiabatic dynamic evolution. We demonstrate that, by selecting the control parameters with explicit function forms, both the ideal process and the practical evolution driving with the truncation of pulses, systematic error and decaying can implement the fast population transfer with a high fidelity. Moreover, the nonadiabatic passages are reconstructed by superadiabatic approach.