Dynamics of correlations in shallow optical lattices
arXiv:1201.6674 · doi:10.1103/PhysRevA.87.063616
Abstract
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.
10 pages, 6 figures thoroughly expanded version of earlier manuscript