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Using Bragg scattering as a sensitive probe, we study how atoms are cooled and localized after the sudden turn-on of 1D and 3D optical lattices. We measure the time evolution of the mean-square position spread of the atoms in the lattice potential wells, a quantity proportional to their effective temperature. The rate of exponential approach to equilibrium is proportional to the photon scattering rate and about 6 times faster in 1D than in 3D. This simple proportionality was unexpected, based on the usual model of Sisyphus cooling, but is in agreement with our 1D Monte Carlo simulations.
Raithel et al. (Mon,) studied this question.