  We present a scheme to realize precise discrimination of chiral molecules in
a cavity. Assisted by additional laser pulses, cavity fields can evolve to
different coherence states with contrary-sign displacements according to the
handedness of molecules. Consequently, the handedness of molecules can be read
out with homodyne measurement on the cavity, and the successful probability is
nearly unity without very strong cavity fields. Numerical results show that the
scheme is insensitive to errors, noise and decoherence. Therefore, the scheme
may provide helpful perspectives for accurate discrimination of chiral
molecules.
