• DOI:10.1103/PhysRevResearch.3.033099
• Corpus ID: 233443757

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

@inproceedings{Hou2021FourthAF,
  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},
  year={2021}
}

• Y. Hou, K. J. Morrell, +1 author J. Drut
• Published 29 April 2021
• Physics

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 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.