What can ultracold Fermi gases teach us about high Tc superconductors and vice versa?

We review recent developments in the field of ultracold atomic Fermi gases. As the cold atom system evolves from BCS to Bose-Einstein condensation (BEC), the behavior of the thermodynamics, and the particle density profiles evolves smoothly in a way which can be well understood theoretically. In the interesting “unitary” regime, we show that these and other data necessarily require the introduction of a pseudogap in the fermionic spectrum which exhibits many striking similarities to its counterpart in underdoped high Tc superconductors. We emphasize these similarities, giving an overview of the experimental tools and key issues of common interest in both systems.