Enantio-discrimination via the cavity-assisted three-photon process

We propose a theoretical method for enantio-discrimination of chiral molecules based on a cavity-molecules system, which consists of a cavity without external driving and an ensemble of chiral mixture (containing left- and right- handed molecules) confined in the cavity. The molecules in the chiral mixture are modeled as cyclic three-level models coupled with the quantized cavity field and two classical light fields. Via the cavity-assisted three-photon process based on the cyclic three-level model, the intracavity photons are generated continuously though there is no external driving to the cavity, and the fields of the photons generated from the the left- and right- handed molecules differ with the phase difference \pi. This provides a potential way to detect the enantiomeric excess of chiral mixture by monitoring the output field of the cavity.