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Coherent population transfer in quantum systems is of fundamental importance in many fields spanning atomic and molecular collision dynamics, information processing for qubit systems. Stimulated Raman nonadiabatic passage technique, when implemented in an externally driven three-level system, provides an efficient approach for realizing accelerated population transfer while maintaining robust quantum coherence, without the rotating wave approximation. However, previous protocols employ multiple pulses and imply that Rabi frequencies have a few oscillations during dynamical evolution. In this paper, under two-photon resonance, we utilize the gauge transformation method to inversely design a Λ-configuration three-level system that can be solved exactly. By invoking a SU(3) transformation, we establish the connection between Schrödinger representation and gauge representation with which the effective Hamiltonian is an Abelian operator. Subsequently, we construct the desired Hamiltonian and further investigate its dynamic behavior. The result demonstrate that, by imposing appropriate boundary conditions on the control parameters, high-fidelity population transfer can be achieved in ideal evolution. In addition, for the practical case with pulse truncation and intermediate state decay, the fidelities of specific models can reach about 99:996% and for 99:983%. Compared to other existing nonadiabatic quantum control schemes, we show that the present scheme has the distinctive advantages. Firstly, instead of introducing an additional microwave field, we achieve the desired quantum control by applying only a few sets of Stokes and pump pulses. Moreover this approach does not exhibit Rabi oscillations in the dynamic process, nor does it present singularities in the pulse itself.
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Keywords:
- three-level systems /
- SU(3) Lie algebra /
- without the rotating-wave approximation /
- nonadiabatic population transfer
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