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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• Universal Tan relations for quantum gases in one dimension
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• Sigature of the universal super Efimov Effect: three-body contact in two dimensional Fermi gases
• Deep inelastic scattering on ultracold gases
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• Contact and Structure Factor for Bosonic and Fermionic Mixtures
• Static response, collective frequencies and ground state thermodynamical properties of spin saturated two-component cold atoms and neutron matter
• Probing the dynamic structure factor of a neutral Fermi superfluid along the BCS-BEC crossover using atomic impurity qubits
• Critical phenomena in one dimension from a Bethe ansatz perspective
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• Emergent s-wave interactions between identical fermions in quasi-one-dimensional geometries
• Equation of State of Neutron-Rich Matter in $d$-Dimensions
• Single-particle spectral density of the unitary Fermi gas: Novel approach based on the operator product expansion, sum rules and the maximum entropy method
• Thermodynamic equivalence of two-dimensional imperfect attractive Fermi and repulsive Bose gases
• Mobile impurity in a one-dimensional gas at finite temperatures
• P-wave contacts of quantum gases in quasi-one-dimensional and quasi-two-dimensional traps
• Dynamical excitation processes and correlations of three-body two-dimensional mixtures
• Equation of state and contact of a strongly interacting Bose gas in the normal state
• Photo-excitation measurement of Tan's contact for a strongly interacting Fermi gas
• Optomechanical Response of a Strongly Interacting Fermi Gas
• Nucleon Short-Range Correlations and High-Momentum Dynamics: Implications on the Equation of State of Dense Matter
• Three-body contact for fermions. I. General relations
• Temperature dependence of $p$-wave contacts in a harmonically trapped Fermi gas
• Collective excitation and stability of flow-induced gapless Fermi superfluids
• Tan's adiabatic sweep theorem from the variational theorem for the scattering length
• Cold atoms beyond atomic physics
• Exact Thermodynamics For Weakly Interacting Normal-Phase Quantum Gases: Equations of State For All Partial Waves
• Dimer-projection contact and the clock shift of a unitary Fermi gas
• Density Modulations of Zero Sound
• Universal Relations in Long-range Quantum Spin Chains