Abstract

We propose and analyze an effective scheme to enhance Kerr nonlinearity with a single quantum dot (QD) coupled to a gain cavity. Under the weak-excitation approximation, we derive the analytic formulas used to determine the coefficient of the nonlinear transmission by employing the perturbation technique. Using experimentally achievable parameters, we identify the conditions under which a QD gain cavity coupled system allows us to modify the linear transmission of the input probe field and enhance the Kerr nonlinearity beyond what is achievable in a QD loss cavity system. It is found that enhanced optical Kerr nonlinearity with high linear transmission rate and suppressed nonlinear absorption can be achievable even in the case of weak coupling between QD and gain cavity. The present results illustrate the potential to utilize gain cavity for enhancing optical Kerr nonlinearities and controlling the transmission of light, as well as guide the design of optical devices.

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