Temperature of a trapped unitary Fermi gas at finite entropy
Hui Hu, Xia-Ji Liu, and Peter D. Drummond
TL;DR
This paper provides theoretical predictions for the equation of state of a trapped unitary Fermi gas at finite entropy, highlighting how entropy can be used to calibrate temperature in experiments.
Contribution
It introduces a method to relate entropy to temperature in a trapped Fermi gas using three perturbation schemes and Monte-Carlo comparisons.
Findings
Entropy remains invariant during adiabatic conversion.
Temperature calibration via entropy is effective in experiments.
Predicted entropy dependence of the equation of state.
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.
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