Cyclic three-level-pulse-area theorem for enantioselective state transfer of chiral molecules

Abstract

We derive a pulse-area theorem for a cyclic three-level system, an archetypal model for exploring enantioselective state transfer (ESST) in chiral molecules driven by three linearly polarized microwave pulses. By dividing the closed-loop excitation into two separate stages, we obtain both amplitude and phase conditions of three control fields to generate high fidelity of ESST. As a proof of principle, we apply this pulse-area theorem to the cyclohexylmethanol molecules (${\text{C}}_7{\text{H}}_{14}\text{O}$), for which three rotational states are connected by the $a$-type, $b$-type, and $c$-type components of the transition dipole moments in both center-frequency resonant and detuned conditions. Our results show that two enantiomers with opposite handedness can be transferred to different target states by designing three microwave pulses that satisfy the amplitude and phase conditions at the transition frequencies. The corresponding control schemes are robust against the time delays between the two stages. We suggest that the two control fields used in the second stage should be applied simultaneously for practical applications. This work contributes an alternative pulse-area theorem to the field of quantum control, which has the potential to determine the chirality of enantiomers in a mixture.

21 pages and 7 figures

References in corpus (13)

• The Magnus expansion and some of its applications
• Shortcut to adiabatic passage in two and three level atoms
• Enantiomer-Specific State Transfer of Chiral Molecules
• Generalized Stern-Gerlach Effect for Chiral Molecules
• Optically-Induced Highly-Efficient Detection and Separation of Chiral Molecules through Shortcuts to Adiabaticity
• Principles of enantio-selective excitation in three-wave mixing spectroscopy of chiral molecules
• Dynamic method to distinguish between left- and right-handed chiral molecules
• Robust and highly-efficient discrimination of chiral molecules through three-mode parallel paths
• Magneto-Optical Stern-Gerlach Effect in Atomic Ensemble
• Optimal three-state field-free molecular orientation with terahertz pulses
• State-specific Enrichment of Chiral Conformers with Microwave Spectroscopy
• Enhanced chiral discriminatory van der Waals interactions mediated by chiral surfaces
• Enantioselective Orientation of Chiral Molecules Induced by Terahertz Pulses with Twisted Polarization

Cited by in corpus (5)

• Enantiomer detection via Quantum Otto cycle
• Enantiomer-Specific Pumping of Chiral Molecules
• Optical-pumping enantio-conversion of chiral mixtures in presence of tunneling between chiral states
• Fast chiral resolution with optimal control
• Enantiospecific Two-Photon Electric-Dipole Selection Rule of Chiral Molecules