We study the photon-photon correlation properties of two-photon transport ina one-dimensional waveguide coupled to a nonlinear cavity via a real-spaceapproach. It is shown that the intrinsic dissipation of the nonlinear cavityhas an important effect upon the correlation of the transported photons. Moreimportantly, strongly correlated photons can be obtained in the transmittedphotons even when the nonlinear interaction strength is weak in the cavity. Thestrong photon-photon correlation is induced by the Fano resonance involvingdestructive interference between the plane wave and bound state for two-photontransport.
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