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.