Thermodynamics of weakly interacting single-component Fermi gases

Weakly interacting single-component Fermi gases could be realized in ultracold atomic (e.g. K and Li) and molecular (e.g., KRb) gases and trapped ions. This work studies thermodynamic quantities such as the contact and moment of inertia of the Fermi gas. I. The contacts, which could be defined as thermodynamic extensive variables that are conjugate to microscopic two-body interacting parameters, dictate the chemical reaction and thus the loss rate of reactive molecules. This work resolves the loss rate of reactive molecules and the contact of a single-component Fermi gas in the normal state as a function of temperature. II. The moment of inertia could be obtained by measuring the increase of angular momentum after a small rotation. The moment of inertia as a function of temperature is obtained for a few trapped ions. In both cases, as the system reaches quantum degeneracy, drastically different behaviour occurs: I. loss rate deviates away from linear temperature dependence; II. moment of inertia becomes larger than the classical moment of inertia.