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

Kaden R. A. Hazzard, Erich J. Mueller
2010 Physical Review A. Atomic, Molecular, and Optical Physics  
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
more » ... ation 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.
doi:10.1103/physreva.81.031602 fatcat:2aizqvffy5d4vjnz52vgkukj4i