Probing molecular spectral functions in ultracold Fermi gases via Raman spectroscopy

The detection of many strongly correlated phases remains a challenge in experimental physics. Here we present a theoretical proposal to directly detect the momentum resolved spectral function of molecular states in ultracold two-component Fermi mixtures, using conventional spectroscopic techniques in the quantum impurity limit. The detection of this quantity has remained so far elusive. We will then show how this new spectroscopic technique can be used to observe precursors of strongly correlated phases in Fermi mixtures, including possibly the FFLO phase, in excited states in the impurity limit. Our proposal will enable the detection of the dispersion relation and the excitation spectrum of composite particles dressed by a many-body environment. We further discuss possible experimental realizations.