Recent progress for the spin-imbalanced unitary Fermi gas

Strongly interacting Fermi gases have been under intense scrutiny over the past two decades, both in experiment and theory. In particular the unitary Fermi gas (UFG), which is a spin-1/2 system with resonant short-ranged interactions, has been studied extensively due to its universal physical content. However, despite the apparent simplicity of the UFG, a theoretical description requires non-perturbative approaches to correctly capture its thermodynamic behavior. Thus, many questions about this subtle system remain a topic of debate.

In this talk I will present recent advances regarding the phase diagram of the spin-imbalanced UFG made with the so-called complex Langevin approach, which allows to extend our analysis past the limitations arising from the sign-problem. The main focus will be on thermodynamics and pairing in the temperature regime slightly above the critical temperature for superfluidity. In particular, I will discuss the elusive pseudogap regime near the balanced limit as well as the absence of any precursor of exotic pairing in this area of the phase diagram.