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

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

2008-01-10

arxiv.org/abs/0801.1523v2

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures / typo correction / figure replacement

Scientific paper

10.1103/PhysRevA.77.041603

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.

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