Seminarium "Teoria i Modelowanie Nanostruktur"

Fast development of techniques and growing number of results of experiments with cold atoms in optical lattices create a growing demand for theoretical description of observed phenomena. The Bose-Hubbard model is well suited for this task. However, solving this model poses a formidable challenge in itself, and some approximation scheme is needed, such as dynamical mean-field theory. In my talk I present basic concepts of this method. I show how it compares to alternative approximation schemes. Finally I present our recent results for the Bose-Hubbard model extended by an infinite-range interaction term.