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Impossibility of large phase shifts via the giant Kerr effect with single-photon wave packets

Impossibility of large phase shifts via the giant Kerr effect with single-photon wave packets

An approximate analytical solution is presented, along with numerical calculations, for a system of two single-photon wave packets interacting via an ideal, localized Kerr medium. It is shown that, because of spontaneous emission into the initially unoccupied temporal modes, the cross-phase-modulation in the Schr\"odinger picture is very small as long …