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.

arXiv comment4 pages, 3 figures / typo correction / figure replacement

References in corpus (23)

• Observation of a Strongly-Interacting Degenerate Fermi Gas of Atoms
• Pairing and Phase Separation in a Polarized Fermi Gas
• Fermionic Superfluidity with Imbalanced Spin Populations and the Quantum Phase Transition to the Normal State
• Experimental Study of the BEC-BCS Crossover Region in Lithium 6
• Crossover from a molecular Bose-Einstein condensate to a degenerate Fermi gas
• Equation of state of a Fermi gas in the BEC-BCS crossover: a quantum Monte Carlo study
• Universal Thermodynamics of Degenerate Quantum Gases in the Unitarity Limit
• Observation of Phase Separation in a Strongly-Interacting Imbalanced Fermi Gas
• Universal phase diagram of a strongly interacting Fermi gas with unbalanced spin populations
• Heat Capacity of a Strongly-Interacting Fermi Gas
• Direct Observation of the Superfluid Phase Transition in Ultracold Fermi Gases
• Phase diagram of a two-component Fermi gas with resonant interactions
• Fermi-Polaron: Diagrammatic Monte Carlo for Divergent Sign-Alternating Series
• Precise determination of ${}^6$Li cold collision parameters by radio-frequency spectroscopy on weakly bound molecules
• Asymmetric Two-component Fermion Systems in Strong Coupling
• Normal state of highly polarized Fermi gases: simple many-body approaches
• Normal state of a polarized Fermi gas at unitarity
• Pairing without Superfluidity: The Ground State of an Imbalanced Fermi Mixture
• Tomographic RF Spectroscopy of a Trapped Fermi Gas at Unitarity
• The potential energy of a ${}^{40}$K Fermi gas in the BCS-BEC crossover
• Mechanical Stability of a Strongly-Interacting Fermi Gas of Atoms
• Induced P-wave Superfluidity in Asymmetric Fermi Gases
• Zero Temperature Thermodynamics of Asymmetric Fermi Gases at Unitarity

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• Ultra-cold Polarized Fermi Gases
• Normal state of highly polarized Fermi gases: Full many-body treatment
• Dynamics and Thermodynamics of the Low-Temperature Strongly Interacting Bose Gas
• Boiling a Unitary Fermi Liquid
• A Unitary Fermi Supersolid: The Larkin-Ovchinnikov Phase
• Strongly Interacting Isotopic Bose-Fermi Mixture Immersed in a Fermi Sea
• Fermi-Liquid Behavior of the Normal Phase of a Strongly Interacting Gas of Cold Atoms
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• Compressibility of an Ultracold Fermi Gas with Repulsive Interactions
• Fit-free determination of scale invariant equations of state: application to the 2D Bose gas across the Berezinksii-Kosterlitz-Thouless transition
• The role of interactions in spin-polarised atomic Fermi gases at unitarity
• Time-Dependent Density Functional Theory for Fermionic Superfluids: from Cold Atomic Gases, to Nuclei and Neutron Stars Crust
• Ab initio lattice results for Fermi polarons in two dimensions
• High-precision numerical solution of the Fermi polaron problem and large-order behavior of its diagrammatic series
• The neutron polaron as a constraint on nuclear density functionals
• Measurement of exciton correlations using electrostatic lattices
• Towards Quantum Turbulence in Cold Atomic Fermionic Superfluids
• Hartree shift in unitary Fermi gases
• Finite-range effects in the unitary Fermi polaron
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• Quantum criticality of a Bose gas in an optical lattice near the Mott transition
• Spin Susceptibility Above the Superfluid Onset in Ultracold Fermi Gases
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• Fermi polaron in low-density spin-polarized neutron matter
• Superdiffusive nonequilibrium motion of an impurity in a Fermi sea
• Transport of Spin and Mass at Normal-Superfluid Interfaces in the Unitary Fermi Gas
• 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