Enantiodetection in a cavity QED setup with finite chiral molecules

We investigate enantiodetection for both a single cyclic three-level chiral molecule and finite ensembles of such molecules by monitoring the steady-state intracavity photon number in a cavity-QED platform. Our scheme exploits the intrinsic global $\pi$-phase difference between opposite enantiomers to engineer destructive and/or constructive interference pathways, enabling a direct readout of enantiomeric excess with an error below $5\mathrm{\%}$. To capture mesoscopic many-molecule effects beyond mean field while avoiding brute-force master-equation simulations, we employ a generalized discrete truncated Wigner approximation, which is well suited for systems with many yet finite molecules. These results pave the way for implementing enantiodetection in realistic quantum-optical settings.