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We study the mutual interaction of a Bose-Einstein condensed gas with a single mode of a high-finesse optical cavity. We show how the cavity transmission reflects condensate properties, and calculate the self-consistent intracavity light field and condensate evolution. Solving the coupled condensate-cavity equations we find that while falling through the cavity, the condensate is adiabatically transfered into the ground state of the periodic optical potential. This allows time-dependent nondestructive measurements on Bose-Einstein condensates, with intriguing prospects for subsequent controlled manipulation.
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Horák et al. (2000) studied this question.
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