Abstract
We theoretically investigate the scattering of few-photon light on Bose-Hubbard lattices using diagrammatic scattering theory. We explicitly derive general analytical expressions for the lowest-order photonic correlation functions, which we apply numerically to several different lattices. We focus specifically on nonlinear effects visible in the intensity-intensity correlation function and explain bunching and antibunching effects in dimers, chains, rings, and planes. The numerical implementation can be applied to arbitrary Bose-Hubbard graphs, and we provide it as an attachment to this publication.
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