Determination of the Equation of State of a Two-Component Fermi Gas at Unitarity

Abstract

We report on the measurement of the equation of state of a two-component Fermi gas of ${}^6$Li atoms with resonant interactions. By analyzing the \textit{in situ} density distributions of a population-imbalanced Fermi mixture reported in the recent experiment [Y. Shin \textit{et al.}, Nature \textbf{451}, 689 (2008)], we determine the energy density of a resonantly interacting Fermi gas as a function of the densities of the two components. We present a method to determine the equation of state directly from the shape of the trapped cloud, where the fully-polarized, non-interacting ideal Fermi gas in the outer region provides the absolute calibration of particle density. From the density profiles obtained at the lowest temperature, we estimate the zero-temperature equation of state.

4 pages, 3 figures / typo correction / figure replacement

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Cited by in corpus (20)

• Observation of Fermi Polarons in a Tunable Fermi Liquid of Ultracold Atoms
• The Equation of State of a Low-Temperature Fermi Gas with Tunable Interactions
• Homogeneous Atomic Fermi Gases
• Ultra-cold Polarized Fermi Gases
• Normal state of highly polarized Fermi gases: Full many-body treatment
• A Unitary Fermi Supersolid: The Larkin-Ovchinnikov Phase
• Realization of a strongly interacting Bose-Fermi mixture from a two-component Fermi gas
• Spin-Imbalanced Quasi-Two-Dimensional Fermi Gases
• The normal phase of an imbalanced Fermi gas
• The role of interactions in spin-polarised atomic Fermi gases at unitarity
• High-precision numerical solution of the Fermi polaron problem and large-order behavior of its diagrammatic series
• Towards Quantum Turbulence in Cold Atomic Fermionic Superfluids
• Finite-range effects in the unitary Fermi polaron
• The Trapped Polarized Fermi Gas at Unitarity
• Spin Susceptibility Above the Superfluid Onset in Ultracold Fermi Gases
• Unitary polarized Fermi gas under adiabatic rotation
• Fermi polaron in low-density spin-polarized neutron matter
• Three-dimensional correlated-fermion phase separation from analysis of the geometric mean of the individual susceptibilities
• Determination of Landau Fermi-liquid parameters of strongly interacting fermions by means of a nonlinear scaling transformation
• Measuring densities of cold atomic clouds smaller than the resolution limit