Highly polarized Fermi gases in different dimensions

In this talk, I will consider an atomic Fermi gas in the limit of extreme spin imbalance, where one has a single spin-down impurity atom interacting attractively with a spin-up atomic Fermi gas. Such a scenario is an example of the canonical "polaron" problem, the solution of which is used to construct the low-energy behavior of many-body systems. For sufficiently strong attraction, the impurity atom has the possibility of binding one or more spin-up fermions and thus changing its statistics. I will explore the nature of these binding transitions and how they are affected by the system dimensionality.