Numerical study of the unitary Fermi gas across the superfluid transition

We present results from Monte Carlo calculations investigating the properties of the homogeneous, spin-balanced unitary Fermi gas in three dimensions. The temperature is varied across the superfluid transition allowing us to determine the temperature dependence of the chemical potential, the energy per particle, and the contact density. Numerical artifacts due to finite volume and discretization are systematically studied, estimated, and reduced.