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

  title={Fourth- and fifth-order virial expansion of harmonically trapped fermions at unitarity},
  author={Y. Hou and K. J. Morrell and A. J. Czejdo and Joaqu{\'i}n E. Drut},
By generalizing our automated algebra approach from homogeneous space to harmonically trapped systems, we have calculated the fourthand 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… 

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