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We study the phase transition of a gas of 87 Rb atoms to quantum degeneracy in the combined potential of a harmonically confining magnetic trap and the periodic potential of an optical lattice.For high optical lattice potentials we observe a significant change in the temperature dependency of the population of the ground state of the system.The experimental results are in good agreement with a model assuming the subsequent formation of quasi-2D condensates in the single lattice sites.
Burger et al. (Tue,) studied this question.