"Liquid and crystal phases of dipolar fermions in two dimensions"

Quantum degenerate gases interacting with long-range dipolar forces have become a fascinating new research direction in the field of ultracold atoms. In the seminar I will briefly review some of the recent experimental and theoretical progresses on this topic and then I will focus on the properties of dipolar fermions in two spatial dimensions. I will report on results obtained using quantum Monte Carlo methods concerning the equation of state of the liquid and crystal phase at zero temperature which correspond, respectively, to the regime of low and high density. Results on the critical density of the liquid to solid quantum phase transition are presented and the possible existence of a stripe phase close to the freezing density is discussed. Preliminary results on a bilayer system with a dipolar impurity interacting with a system of dipolar fermions will also be discussed.