Bose-Fermi mixtures in 1D few-sites optical lattices

Abstract

We use exact diagonalization techniques to study the ground state properties of few-site optical lattices where bosons and fermions are mixed and interact. First, we consider a two-site system with 50 bosons and one single fermionic impurity. The interaction of the impurity with the bosonic background is shown to modify its properties. Then, we consider a three-site system in order to see effects of the fermionic nature of the impurities. In this system, the modifcation of the properties of the bosons by the interaction with the fermions is even more dramatic, and is different when the system hosts one fermion than two