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We find that in lattice ramps from 11 (superfluid, $\\hbar/U_{\\text{i}} = 3$ms, $\\hbar/J_{\\text{i}} = 45$ms) to 16 recoils (Mott, $\\hbar/U_{\\text{f}} = 2$ms, $\\hbar/J_{\\text{f}} = 130$ms) the local number fluctuations remains at their equilibrium values if ramps are slower than 3 ms. Global transport, however, is much slower (1s), especially in the presence of Mott shells. 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Mueller, Kaden R. A. Hazzard, Stefan S. Natu","submitted_at":"2010-09-29T01:14:13Z","abstract_excerpt":"We study the response of trapped two dimensional cold bosons to time dependent lattices. We find that in lattice ramps from 11 (superfluid, $\\hbar/U_{\\text{i}} = 3$ms, $\\hbar/J_{\\text{i}} = 45$ms) to 16 recoils (Mott, $\\hbar/U_{\\text{f}} = 2$ms, $\\hbar/J_{\\text{f}} = 130$ms) the local number fluctuations remains at their equilibrium values if ramps are slower than 3 ms. Global transport, however, is much slower (1s), especially in the presence of Mott shells. 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