Temperature of a trapped unitary Fermi gas at finite entropy

Abstract

We present theoretical predictions for the equation of state of a harmonically-trapped Fermi gas in the unitary limit. Our calculations rest on a study of the equation of state of a uniform gas using three distinct perturbation schemes, compared to Monte-Carlo results. We show that in experiments the temperature can be usefully calibrated by making use of the entropy, which is invariant during an adiabatic conversion into the weakly-interacting limit of molecular BEC. We predict the entropy dependence of the equation of state.

5 pages, and 4 figures; Published version in Phys. Rev. A

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• Crossover from a molecular Bose-Einstein condensate to a degenerate Fermi gas
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Cited by in corpus (26)

• Theory of ultracold Fermi gases
• Thermodynamics of the BCS-BEC crossover
• Bragg spectroscopy of a strongly interacting Fermi gas
• Measurement of the Entropy and Critical Temperature of a Strongly Interacting Fermi Gas
• The potential energy of a ${}^{40}$K Fermi gas in the BCS-BEC crossover
• Large-N expansion for unitary superfluid Fermi gases
• Pairing fluctuations and the superfluid density through the BCS-BEC crossover
• BCS-BEC crossover in an asymmetric two-component Fermi gas
• Universal contact of strongly interacting fermions at finite temperatures
• Comparative study of strong coupling theories of a trapped Fermi gas at unitarity
• First and second sound in a strongly interacting Fermi gas
• Mean field thermodynamics of a spin-polarized spherically trapped Fermi gas at unitarity
• Pseudogap and preformed pairs in the imbalanced Fermi gas in two dimensions
• Variational theory of two-fluid hydrodynamic modes at unitarity
• Visualization of vortex bound states in polarized Fermi gases at unitarity
• Low-temperature thermodynamics of the unitary Fermi gas: superfluid fraction, first sound and second sound
• Fermionic ground state at unitarity and Haldane Exclusion Statistics
• The Josephson relation for the superfluid density in the BCS-BEC crossover
• Fermions at unitarity and Haldane Exclusion Statistics
• First and second sound of a unitary Fermi gas in highly oblate harmonic traps
• Adiabatic Phase Diagram of an Ultracold Atomic Fermi Gas with a Feshbach Resonance
• Adiabatic cooling of a tunable Bose-Fermi mixture in an optical lattice
• Isothermal compressibility and effects of multi-body molecular interactions in a strongly interacting ultracold Fermi gas
• Statistical mechanics of a Feshbach coupled Bose-Fermi gas in an optical lattice
• First and second sound of a unitary Fermi gas in highly elongated harmonic traps
• Strong coupling effects on specific heat in the BCS-BEC crossover