Enantioselective Topological Frequency Conversion

Abstract

Two molecules are enantiomers if they are non-superimposable mirror images of each other. Electric dipole-allowed cyclic transitions, and R, S label the two enantiomers. Here we generalize the concept of topological frequency conversion to an isotropic ensemble of molecular enantiomers. We show that, within a rotating-frame, the pumping power between fields of frequency ω1 and ω2 is sensitive to enantiomeric excess, P2→1 =(NR − NS), where Ni is the number of enantiomers i and C R − ∝ sgnO R is an isotropically averaged Chern number. Connections with chiroptical microwave spectroscopy are made.

Topological power pumping in quantum circuits

“…4(a). This proposal thus provides a missing implementation of a new three level topological model, which in particular supersedes a recent proposal based on molecular enantiomers [57]. In this quantum simulation correspondence, the drive detunings δ 1 and δ 3 correspond to onsite potential energies on the Lieb lattice, while the drive amplitudes Ω 1 and Ω 2 mimic nearest-neighbour tight-binding amplitudes, and Ω 3 simulates a next-nearest-neighbour coupling along one diagonal direction.…”

Ultrafast chirality: the road to efficient chiral measurements

“…Future directions can include identification of new members of Classes I-III, establishing the connection between the topology of the geometric field and the topology of the respective molecular bound and continuum states, and the application of enantio-sensitive molecular orientation [88], which occurs in neural molecules and molecular ions, for enantioseparation and ultrafast molecular imaging. Other possibilities include exploiting the analogy between chiral effects in photoionization and a broad class of topological phenomena in solids, aiming to create observables which encode both chiral and topological properties of matter [180], such as the quantized circular dichroism.…”