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Hong-Ou-Mandel interferometer with cavities: theory

C. Olindo, M. A. Sagioro, C. H. Monken, S. Pádua, A. Delgado

quant-pharXiv:quant-ph/0503217

Abstract

We study the number of coincidences in a Hong-Ou-Mandel interferometer exit whose arms have been supplemented with the addition of one or two optical cavities. The fourth-order correlation function at the beam-splitter exit is calculated. In the regime where the cavity length are larger than the one-photon coherence length, photon coalescence and anti-coalescence interference is observed. Feynman's path diagrams for the indistinguishable processes that lead to quantum interference are presented. As application for the Hong-Ou-Mandel interferometer with two cavities, it is discussed the construction of an optical XOR gate.

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