Making contact: Sum rules and the momentum distribution of Fermi gases at large scattering lengths
Joaquin Drut
LANL
A few years ago, Shina Tan and others derived a set of exact relations valid for strongly
interacting non-relativistic Fermi gases in the regime of short interaction range and large
scattering length. Recent developments have shown that a central quantity in these identities,
the so-called "contact" C, actually plays a crucial role in the characterization of these
systems, as it determines multiple thermodynamic properties as well as linear-response sum
rules. However, computing the "contact" presents a challenge as it requires non-perturbative
methods such as Quantum Monte Carlo. After a brief review on the general properties of these
systems, I will present our first results for C as a function of temperature in the limit of
infinite scattering length. If time permits, I will comment on our investigations into
adapting Lattice QCD algorithms for these calculations.