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Enhancement of Nonlinearity due to Cavity Effect of a Quantum Dot

The effect of a cavity on the third-order optical nonlinearity, is studied for a two-level system with excitation frequency ω 0 , as a function of the Q factor, coupling constant g, and longitudinal (γ 1 ) and pure transverse (γ 2 ) damping constants. The largest enhancement is found in the strong-coupling regime with γ 1 + 2γ 2 = ω 0 /2Q. Large enhancement is also achieved in the weak-coupling regime satisfying the condition ω 0 /Q = (g 2 /γ 1 )[ 1 + 8γ 1 /(γ 1 + 2γ 2 ) - 1], and the intensity depends on damping constants only. The calculation is based on the cavity QED because the semiclassical treatment of the cavity quasimode leads to incorrect optical nonlinearity.