Momentum Distribution and Contact of the Unitary Fermi gas
Abstract
We calculate the momentum distribution n(k) of the Unitary Fermi Gas using Quantum Monte Carlo calculations at finite temperature T/εF as well as in the ground state. At large momenta k/kF, we find that n(k) falls off as C/k4, in agreement with the Tan relations. From the asymptotics of n(k), we determine the contact C as a function of T/εF and present a comparison with theory. At low T/εF, we find that C increases with temperature, and we tentatively identify a maximum around T/εF 0.4. Our calculations are performed on lattices of spatial extent up to Nx = 14 with a particle number per unit volume of 0.03 - 0.07.
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