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We study the interaction of light beams with a cloud of cold atoms
placed in an optical cavity. Under certain conditions the atoms act
as a non-linear medium for the light (Kerr effect) and substantially
modify the quantum fluctuations of light. By laser cooling the atoms,
it is possible to trap the atoms and get rid of the Doppler broadening.
Besides, the cavity interaction enhances the non-linearity. This kind
of interaction has allowed us to produced various squeezed field states,
as well as non-separable beams. More generally, our experiment is interesting
to study quantum state transfer and storage in the continuous variable
regime.
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