Dynamics of correlations in shallow optical lattices

Physics – Condensed Matter – Quantum Gases

Scientific paper

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4 pages, 5 figures

Scientific paper

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.

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