Màster Oficial en Física Avançada, , Facultat de Física, Universitat de Barcelona, Curs: 2015, Tutors: Bruno Juliá-Díaz i Artur Polls
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