Thermodynamics of the unitary Fermi gas

Lattice field theory has become an increasingly popular method to study problems in the field of cold atoms. For strongly interacting systems, such as the unitary Fermi gas, a numerical simulation is often the only reliable tool to give quantitative predictions. In this work we build upon our previous calculation of the critical temperature of the unitary Fermi gas with the determinant diagrammatic Monte Carlo method. Now we generalise our approach to temperatures above and below the critical point and present results for the temperature dependence of the chemical potential, the energy per particle and the contact density. Our values show good agreement with recent experimental data.