On-site correlations in optical lattices: band mixing to coupled quantum Hall puddles

Details On-site correlations in optical lattices: band mixing to coupled quantum Hall puddles On-site correlations in optical lattices: band mixing to coupled quantum Hall puddles

2009-02-26

arxiv.org/abs/0902.4707v1

Phys. Rev. A 81, 031602(R) (2010)

Physics

Condensed Matter

Other Condensed Matter

4 pages, 4 figures

Scientific paper

10.1103/PhysRevA.81.031602

We extend the standard Bose-Hubbard model to capture arbitrarily strong on-site correlations. In addition to being important for quantitatively modeling experiments, for example, with Rubidium atoms, these correlations must be included to describe more exotic situations. Two such examples are when the interactions are made large via a Feshbach resonance, or when each site rotates rapidly, making a coupled array of quantum Hall puddles. Remarkably, even the mean field approximation to our model includes all on-site correlations. We describe how these on-site correlations manifest themselves in the system's global properties: modifying the phase diagram and depleting the condensate.

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