Abstract
Optical nonlinear effects between several photons are usually negligibly small. However, it was demonstrated that the saturation nonlinearity of a few-level quantum system can yield considerable nonlinear optical effects even at the single-photon level. Such nonlinear optical effects have been attracting much attention from the viewpoint of all-optical quantum computation. In order to analyze the nonlinear dynamics of photons quantitatively, it is essential to quantize both the photon field and the material system, and also to take account of the multimode nature of the photon field rigorously. The goal of theoretical analyses is, on the basis of such a rigorous formalism, to determine the output two-photon wavefunction g(r1. r2) from the mode functions fa(r) and fb(r) of input photons (see Figure).
© 2007 IEEE
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