A Diagrammatic Monte Carlo study of the resonant Fermi Polaron

The Fermi polaron is an impurity interacting with a sea of fermions. It is an exemplary system to study impurity problems, strongly imbalanced Fermi gases and quasiparticles. For strong interactions diagrammatic Monte Carlo provides a reliable tool to calculate various properties of the system quantitatively and from first principles. In my talk I will show how diagrammatic Monte Carlo, resummation techniques and numerical analytic continuation can be applied to obtain the spectral function of the resonant Fermi polaron, which can be measured in cold atoms experiments.