Preforming molecules of Fermi-Bose light-heavy alkali mixtures to create dense dipolar matter: the strong coupling approach

In this talk, we discuss our recent work on using the strong- coupling expansion (perturbation theory in the hopping) to calculate the efficiency of pre-forming molecules of Fermi-Bose light-heavy alkali mixtures (like K-Rb) in an optical lattice. In previous work [1], we have shown that loading the mixture onto a two-dimensional square lattice can dramatically improve the efficiency of pre-forming dipolar molecules. In this talk, we will show that within the strong interaction regime (and at high temperature), the SC expansion is a very economical way to study this problem. The SC approach also enables us to work with much larger system sizes, where boundary effects can be eliminated. This is particularly important at higher temperatures where the boundary effects can significantly affect the results.This approach could be useful for experimentalists to rapidly scan through parameter space to optimize the pre-forming of molecules on the lattice (by choosing the lattice depth and interspecies attraction) prior to the Feschbach sweep and STIRAP process used to make ground- state molecules. [1] J. K. Freericks, \textit{et al}, arXiv:0908.1794v1