  We study finite-temperature properties of the strongly interacting bosons in
three-dimensional lattices by employing the combined Bogoliubov method and the
quantum rotor approach. Based on the mapping of the Bose-Hubbard Hamiltonian of
strongly interacting bosons onto U(1) phase action, we study their
thermodynamic phase diagrams for several lattice geometries including; simple
cubic, body- as well as face-centered lattices. The quantitative values for the
phase boundaries obtained here may be used as a reference for emulation of the
Bose-Hubbard model on a variety of optical lattice structures in order to
demonstrate experimental-theoretical consistency for the numerical values
regarding the location of the critical points.
