<i>Ab initio</i>derivation of Hubbard models for cold atoms in optical lattices
<i>Ab initio</i>derivation of Hubbard models for cold atoms in optical lattices
We derive ab initio local Hubbard models for several optical lattice potentials of current interest, including the honeycomb and Kagom\'{e} lattices, verifying their accuracy on each occasion by comparing the interpolated band structures against the originals. To achieve this, we calculate the maximally-localized generalized Wannier basis by implementing the steepest-descent …