Local versus global equilibration near the bosonic Mott-superfluid transition

Abstract

We study the response of trapped two dimensional cold bosons to time dependent lattices. We find that in lattice ramps from 11 (superfluid, $\hslash /U_{\text{i}}=3$ms, $\hslash /J_{\text{i}}=45$ms) to 16 recoils (Mott, $\hslash /U_{\text{f}}=2$ms, $\hslash /J_{\text{f}}=130$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. This separation of timescales has practical implications for cold atom experiments and cooling protocols.

4 pages, 4 figs. 6 subfigures

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