Momentum Distribution and Contact of the Unitary Fermi gas

Details Momentum Distribution and Contact of the Unitary Fermi gas Momentum Distribution and Contact of the Unitary Fermi gas

2010-12-25

arxiv.org/abs/1012.5474v2

Phys.Rev.Lett.106:205302,2011

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures. Published version

Scientific paper

10.1103/PhysRevLett.106.205302

We calculate the momentum distribution n(k) of the Unitary Fermi Gas using Quantum Monte Carlo calculations at finite temperature T/\epsilon_F as well as in the ground state. At large momenta k/k_F, we find that n(k) falls off as C/k^4, in agreement with the Tan relations. From the asymptotics of n(k), we determine the contact C as a function of T/\epsilon_F and present a comparison with theory. At low T/\epsilon_F, we find that C increases with temperature, and we tentatively identify a maximum around T/\epsilon_F \simeq 0.4. Our calculations are performed on lattices of spatial extent up to N_x = 14 with a particle number per unit volume of \simeq 0.03 - 0.07.

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