Efficient and robust chiral resolution by composite pulses

Abstract

We introduce a method for detection of chiral molecules using sequences of three pulses driving a closed-loop three-state quantum system. The left- and right-handed enantiomers have identical optical properties (transition frequencies and transition dipole moments) with the only difference being the sign of one of the couplings. We identify twelve different sequences of resonant pulses for which chiral resolution with perfect contrast occurs. In all of them the first and third pulses are $\pi /2$-pulses and the middle pulse is a $\pi$-pulse. In addition, one of the three pulses must have a phase shift of $\pi /2$ with respect to the other two. The simplicity of the proposed chiral resolution technique allows for straightforward extensions to more efficient and more robust implementations by replacing the single $\pi /2$ and $\pi$-pulses by composite pulses. We present specific examples of chiral resolution by composite pulses which compensate errors in the pulse areas and the detuning of the driving fields.

arXiv comment7 pages, 5 figures

References in corpus (12)

• NMR Techniques for Quantum Control and Computation
• Stimulated Raman adiabatic passage in physics, chemistry and beyond
• Shortcut to adiabatic passage in two and three level atoms
• Sensitive Chiral Analysis via Microwave Three-wave Mixing
• Two-Step Enantio-selective Optical Switch
• Enantiomer-Specific State Transfer of 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
• Influence Spatial Degeneracy on Rotational Spectroscopy Three Wave Mixing and enantiomeric state separation of Chiral Molecules
• Determination of enantiomeric excess with chirality-dependent AC Stark effects in cyclic three-level models
• Arbitrarily accurate variable rotations on the Bloch sphere by composite pulse sequences

Cited by in corpus (13)

• Chiral resolution by composite Raman pulses
• Cyclic three-level-pulse-area theorem for enantioselective state transfer of chiral molecules
• Narrowband and passband composite pulses for variable rotations
• Enantio-conversion of chiral mixtures via optical pumping
• Spatial enantioseparation of gaseous chiral molecules
• Enantio-detection via cavity-assisted three-photon processes
• Enantio-specific state transfer for symmetric-top chiral molecules
• Enantiodiscrimination of chiral molecules via quantum correlation function
• Enantio-specific state transfer of chiral molecules through enantio-selective shortcut-to-adiabaticity paths
• Efficient and robust chiral discrimination by invariant-based inverse engineering
• 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