Virial expansion for a strongly correlated Fermi gas with imbalanced spin populations

Abstract

Quantum virial expansion provides an ideal tool to investigate the high-temperature properties of a strongly correlated Fermi gas. Here, we construct the virial expansion in the presence of spin population imbalance. Up to the third order, we calculate the high-temperature free energy of a unitary Fermi gas as a function of spin imbalance, with infinitely large, attractive or repulsive interactions. In the latter repulsive case, we show that there is no itinerant ferromagnetism when quantum virial expansion is applicable. We therefore estimate an upper bound for the ferromagnetic transition temperature $T_c$. For a harmonically trapped Fermi gas at unitarity, we find that $(T_c{)}_{uppper}<T_F$, where $T_F$ is the Fermi temperature at the center of the trap. Our result for the high-temperature equations of state may confront future high-precision thermodynamic measurements.

7 pages, 5 figures, accepted in Phys. Rev. A

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• Finite range and upper branch effects on itinerant ferromagnetism in repulsive Fermi gases: Bethe-Goldstone ladder resummation approach
• Nonequilibrium BCS-BEC crossover and unconventional FFLO superfluid in a strongly interacting driven-dissipative Fermi gas
• Thermodynamic Properties of Universal Fermi Gases
• Fourth cluster and virial coefficients of a unitary Fermi gas for an arbitrary mass ratio
• Itinerant ferromagnetism of a dipolar Fermi gas with Raman-induced spin-orbit coupling