Thermodynamics of the unitary Fermi gas

Current experiments with ultra-cold fermions open the possibility of exploring the phase-diagram of models that are hard to tackle with present quantum many-body theory, such as the Hubbard model or the problem of BEC-BCS crossover. With such quantum emulators within reach, (numerical) tools for determining the unbiased equation of state are evermore important. Diagrammatic Monte Carlo (DiagMC) is a generic technique, capable of solving macroscopic quantum many-body systems. We will discuss DiagMC, and present results for the unitary Fermi gas. We obtain universal thermodynamic functions and compare with experimental results.