Fourth- and fifth-order virial expansion of harmonically trapped fermions at unitarity

Abstract

By generalizing our automated algebra approach from homogeneous space to harmonically trapped systems, we have calculated the fourth- and fifth-order virial coefficients of universal spin-1/2 fermions in the unitary limit, confined in an isotropic harmonic potential. We present results for said coefficients as a function of trapping frequency (or, equivalently, temperature), which compare favorably with previous Monte Carlo calculations (available only at fourth order) as well as with our previous estimates in the untrapped limit (high temperature, low frequency). We use our estimates of the virial expansion, together with resummation techniques, to calculate the compressibility and spin susceptibility.

5 pages, 3 figures

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Cited by in corpus (3)

• Fourth cluster and virial coefficients of a unitary Fermi gas for an arbitrary mass ratio
• Quench Dynamics of Thermal Bose Gases Across Wide and Narrow Feshbach
• Toward an automated-algebra framework for high orders in the virial expansion of quantum matter