https://doi.org/10.1140/epjd/s10053-023-00710-9
Regular Article – Cold Matter and Quantum Gases
Second virial coefficients for a Fermi gas trapped in an anisotropic harmonic potential
1
Beijing Academy of Quantum Information Sciences, 100193, Beijing, People’s Republic of China
2
Department of Physics, Renmin University of China, 100872, Beijing, People’s Republic of China
3
Beijing Key Laboratory of Opto-electronic Functional Materials and Micro-nano Devices, Renmin University of China, 100872, Beijing, People’s Republic of China
c
zhengzy@baqis.ac.cn
d
wzhangl@ruc.edu.cn
Received:
20
October
2022
Accepted:
21
June
2023
Published online:
11
July
2023
We study the virial expansion of an interacting Fermi gas trapped in an anisotropic harmonic potential and calculate the second virial coefficients for both cigar-shaped and pancake-shaped traps across a wide range of interaction and for various temperatures. At unitarity, we observe a universal behavior regardless of the trapping geometry and temperature. With these results, we calculate the interaction energy and entropy of a trapped gas at unitarity and obtain the pressure and compressibility for a homogeneous Fermi gas.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
