  The development of efficient techniques to distinguish mirror images of
chiral molecules (enantiomers) is very important in both chemistry and physics.
Enantiomers share most molecular properties except, for instance, the
absorption of circularly polarized light. Enantiomer purification is therefore
a challenging task that requires specialized equipment. Strong coupling between
quantized fields and matter (e.g. in optical cavities) is a promising technique
to modify molecular processes in a non-invasive way. The modulation of
molecular properties is achieved by changing the field characteristics. In this
work, we investigate whether strong coupling to circularly polarized
electromagnetic fields is a viable way to discriminate chiral molecules. To
this end, we develop a nonperturbative framework to calculate the behavior of
molecules in chiral cavities. We show that in this setting the enantiomers have
different energies -- that is, one is more stable than the other. The
field-induced energy differences are also shown to give rise to enantiospecific
signatures in rotational spectra.
