title: Theory of quantum frequency translation of light in optical fiber: application to interference of two photons of different color.
abstract: We study quantum frequency translation and two-color photon interference enabled by the Bragg scattering four-wave mixing process in optical fiber. Using realistic model parameters, we computationally and analytically determine the Green function and Schmidt modes for cases with various pump-pulse lengths. These cases can be categorized as either "non-discriminatory" or "discriminatory" in regards to their propensity to exhibit high-efficiency translation or high-visibility two-photon interference for many different shapes of input wave packets or for only a few input wave packets, respectively. Also, for a particular case, the Schmidt mode set was found to be nearly equal to a Hermite-Gaussian function set. The methods and results also apply with little modification to frequency conversion by sum-frequency conversion in optical crystals.
authors.affiliation: Department of Physics, University of Oregon, Eugene, Oregon 97403, USA.
authors.forename: H J
authors.initials: HJ
authors.lastname: McGuinness
authors.forename: M G
authors.initials: MG
authors.lastname: Raymer
authors.forename: C J
authors.initials: CJ
authors.lastname: McKinstrie