Effective two-level models for highly efficient inner-state enantioseparation based on cyclic three-level systems of chiral molecules

Based on cyclic three-level systems of chiral molecules, we propose two methods to realize highly efficient inner-state enantioseparations of a chiral mixture with the two enantiomers initially prepared in their ground states. Our methods work in the region where the evolutions of the two enantiomers can be described by their corresponding effective two-level models, simultaneously. The approximately 100%-efficiency inner-state enantioseparations can be realized when the probability occupying the ground state of one enantiomer becomes zero by experiencing half-integer periods of its corresponding on-resonance Rabi oscillation and the other one stays always in the ground state approximately, under the conditions that the two enantiomers are governed by the effective on-resonance and large-detuning two-level models, respectively. Alternatively, the exactly 100%-efficiency inner-state enantioseparation can be obtained when the probability occupying the ground state of one enantiomer becomes zero by experiencing half-integer periods of its corresponding on-resonance Rabi oscillation and in the meanwhile that of the other one becomes 1 by experiencing integer periods of its corresponding detuned Rabi oscillation, respectively.