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Few photon scattering on Bose-Hubbard lattices

Quantum Physics 2017-08-16 v2

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 non-linear effects visible in the intensity-intensity correlation function and explain bunching and anti-bunching 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.

Keywords

Cite

@article{arxiv.1705.10555,
  title  = {Few photon scattering on Bose-Hubbard lattices},
  author = {Kim G. L. Pedersen and Mikhail Pletyukhov},
  journal= {arXiv preprint arXiv:1705.10555},
  year   = {2017}
}

Comments

20 pages, 11 figures