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.

arXiv comment5 pages, and 4 figures; Published version in Phys. Rev. A

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• Universal thermodynamics of strongly interacting Fermi gases
• Large-N expansion for unitary superfluid Fermi gases
• Pairing fluctuations and the superfluid density through the BCS-BEC crossover
• Temperature dependence of the contact in a unitary Fermi gas
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• Universal contact of strongly interacting fermions at finite temperatures
• Comparative study of strong coupling theories of a trapped Fermi gas at unitarity
• Universal thermodynamics of a strongly interacting Fermi gas: theory versus experiment
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• Second sound and the density response function in uniform superfluid atomic gases
• Variational theory of two-fluid hydrodynamic modes at unitarity
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• Propagation of Second sound in a superfluid Fermi gas in the unitary limit
• Low-temperature thermodynamics of the unitary Fermi gas: superfluid fraction, first sound and second sound
• Specific heat and effects of pairing fluctuations in the BCS-BEC crossover regime of an ultracold Fermi gas
• Phononic collective excitations in superfluid Fermi gases at nonzero temperatures
• Pair excitations and parameters of state of imbalanced Fermi gases at finite temperatures
• 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
• Strong-Coupling and Finite Temperature Effects on $p$-wave Contacts
• Cold atoms at unitarity and inverse square interaction
• 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
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• First and second sound of a unitary Fermi gas in highly elongated harmonic traps
• Strong Coupling Effects on the Specific Heat of an Ultracold Fermi Gas in the Unitarity Limit
• Strong coupling effects on specific heat in the BCS-BEC crossover