This thesis proposes improvements on techniques for the coherent control of photon-photon interactions mediated by a cloud of cold atoms.Atoms cooled and trapped in a MOT can be loaded into a hollow, photonic crystal waveguide to ensure light coupled into the waveguide is localized on the tightly confined atoms.The low temperature of the atoms decreases decoherence rates, and improves coherent light-matter interactions, such as electromagnetically induced transparency and slow light.Predictions are made for two future experiments using this system, modulating of the phase of a laser beam with a much weaker one, and modulating the transmission of a laser through two photon absorption.These predictions indicate that the phase of a 0.1μW laser beam can be modulated by as much as one milliradian per weak laser photon, and that a800pW laser beam can modulate the transmission of a comparably powerful laser by as much as 60%.Both of these predictions would be improvements on results for similar experiments performed with warm atoms.
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Techniques for Coherent Control of Effective Photon-Photon Interactions at Low Light Levels