Abstract
A theoretical investigation was carried out into the program for obtaining effective cross-Kerr effect for the four-level atom interacting with three electromagnetic fields. Using density-matrix equations and perturbative iterative method, the variation dependence of the third-order susceptibility on the detunings of the applied electromagnetic fields was derived. The results show that a large cross-Kerr effect can be generated when the detunings of the two weak probe fields are Raman resonant, and the corresponding linear and self-Kerr interactions vanish. The realization of the effective Kerr effect with vanishing absorption is possible in a Raman resonant four-level system. Moreover, the large cross-Kerr interaction with vanishing absorption can be used to realize single-photon nonlinear devices and optical Kerr shutters.
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