@book{CramerEisertIlluminati2004, author = {Cramer, Marcus and Eisert, Jens and Illuminati, Fabrizio}, title = {Inhomogeneous atomic Bose-Fermi mixtures in cubic lattices}, issn = {0031-9007}, year = {2004}, abstract = {We determine the ground state properties of inhomogeneous mixtures of bosons and fermions in cubic lattices and parabolic confining potentials. For finite hopping we determine the domain boundaries between Mott-insulator plateaux and hopping-dominated regions for lattices of arbitrary dimension within mean-field and perturbation theory. The results are compared with a new numerical method that is based on a Gutzwiller variational approach for the bosons and an exact treatment for the fermions. The findings can be applied as a guideline for future experiments with trapped atomic Bose- Fermi mixtures in optical lattices}, language = {en} }