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Enantioselective Topological Frequency Conversion.

Kai Schwennicke1, Joel Yuen-Zhou1

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Topological frequency conversion is generalized to molecular enantiomers. Pumping power between frequencies reveals enantiomeric excess, connecting topological physics with molecular chirality.

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Area of Science:

  • Physics
  • Chemistry
  • Spectroscopy

Background:

  • Enantiomers are nonsuperimposable mirror-image molecules.
  • Electric dipole-allowed cyclic transitions follow specific symmetry relations.
  • Molecular chirality is a fundamental property in stereochemistry.

Purpose of the Study:

  • Generalize topological frequency conversion to ensembles of enantiomers.
  • Investigate the sensitivity of pumping power to enantiomeric excess.
  • Establish connections between topological physics and chiroptical spectroscopy.

Main Methods:

  • Utilizing a rotating-frame approximation.
  • Analyzing electric dipole-allowed cyclic transitions.
  • Developing a theoretical framework for topological frequency conversion.

Main Results:

  • Pumping power between frequencies is shown to be sensitive to enantiomeric excess.
  • A formula relating pumping power to enantiomeric excess, involving Chern numbers, is derived.
  • Connections to chiroptical microwave spectroscopy are established.

Conclusions:

  • Topological frequency conversion can be generalized to molecular enantiomers.
  • This approach offers a new method for detecting enantiomeric excess.
  • The study highlights a novel link between topological physics and molecular chirality.