%0 Journal Article
%T Dynamics of correlations in shallow optical lattices
%A Stefan S. Natu
%A Erich J. Mueller
%J Physics
%D 2012
%I arXiv
%R 10.1103/PhysRevA.87.063616
%X We explore how correlations evolve in a gas of lattice bosons when the lattice depth is rapidly reduced. We find a simple closed form expression for the static structure factor in the limit of vanishing interactions. The corresponding real-space density correlation function shows multiple spatial oscillations which linearly disperse as a function of time. By perturbatively including the effects of the interactions we calculate how the boson quasi-momentum evolves following the quench.
%U http://arxiv.org/abs/1201.6674v2