Shortcut to adiabatic population transfer in quantum three level systems: Effective two level problems and feasible counterdiabatic driving
Shortcut to adiabaticity in various quantum systems has attracted much attention with the wide applications in quantum information processing and quantum control. In this paper, we concentrate on stimulated Raman shortcut to adiabatic passage in quantum three level systems. To implement counter diabatic driving but without additional coupling, we first reduce the quantum three level systems to effective two level problems at large intermediate level detuning, or on resonance, apply counter diabatic driving along with the unitary transformation, and eventually modify the pump and Stokes pulses for achieving fast and high fidelity population transfer. The required laser intensity and stability against parameter variation are further discussed, to demonstrate the advantage of shortcuts to adiabaticity.