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}
}
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… 

Figures from this paper

Toward an Automated-Algebra Framework for High Orders in the Virial Expansion of Quantum Matter

The virial expansion provides a non-perturbative view into the thermodynamics of quantum many-body systems in dilute regimes. While powerful, the expansion is challenging as calculating its

Quench Dynamics of Thermal Bose Gases Across Wide and Narrow Feshbach

Using high-temperature virial expansion, we study the quench dynamics of the thermal Bose gases near a wide, narrow, and intermediate Feshbach resonance. Our results show that the shallow bound state