Precise determination of the structure factor and contact in a unitary Fermi gas

Abstract

We present a high-precision determination of the universal contact parameter in a strongly interacting Fermi gas. In a trapped gas at unitarity we find the contact to be $3.06\pm 0.08$ at a temperature of 0.08 of the Fermi temperature in a harmonic trap. The contact governs the high-momentum (short-range) properties of these systems and this low temperature measurement provides a new benchmark for the zero temperature homogeneous contact. The experimental measurement utilises Bragg spectroscopy to obtain the dynamic and static structure factors of ultracold Fermi gases at high momentum in the unitarity and molecular Bose-Einstein condensate (BEC) regimes. We have also performed quantum Monte Carlo calculations of the static properties, extending from the weakly coupled Bardeen-Cooper-Schrieffer (BCS) regime to the strongly coupled BEC case, which show agreement with experiment at the level of a few percent.

Replaced with accepted version

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Cited by in corpus (9)

• Cooper pairing above the critical temperature in a unitary Fermi gas
• Dispersion relation and excitation character of a two-component Bose-Einstein condensate
• Imaginary polarization as a way to surmount the sign problem in ab initio calculations of spin-imbalanced Fermi gases
• Predicting Energies of Small Clusters from the Inhomogeneous Unitary Fermi Gas
• Contact and Structure Factor for Bosonic and Fermionic Mixtures
• Critical phenomena in one dimension from a Bethe ansatz perspective
• Single-particle spectral density of the unitary Fermi gas: Novel approach based on the operator product expansion, sum rules and the maximum entropy method
• Equation of state and contact of a strongly interacting Bose gas in the normal state
• Collective excitation and stability of flow-induced gapless Fermi superfluids