Electromagnetically-induced-transparency-enhanced Kerr nonlinearity: Beyond steady-state treatment

A time-dependent perturbation treatment on EIT-enhanced Kerr nonlinearity where the wave-mixing field is also taken into consideration is presented. The inclusion of the mixing field opens possibilities for the suppression and enhancement of the Kerr nonlinearity under suitable conditions, thus adding rich dynamics to the system. Furthermore, it is shown that the EIT-enhanced scheme is superior in comparison to the conventional three-level scheme for cross-phase modulation. The time-dependent treatment allows to examine the dynamic response of the system to the source laser.