  We investigate a recently proposed scheme for differential detection of the
magneto-optical rotation effect and its application to electromagnetically
induced transparency (EIT) atomic clocks. This scheme utilizes a linearly
polarized bichromatic laser field that is EIT-resonant with alkali atoms. The
results of our study reveal that the suppression of the laser noise can
substantially improve the signal-to-noise ratio in EIT atomic clocks. Our
preliminary results demonstrate an order of magnitude improvement in clock
stability under some conditions when incorporating the differential detection
scheme
