Fourth- and fifth-order virial expansion of harmonically trapped fermions at unitarity
Fourth- and fifth-order virial expansion of harmonically trapped fermions at unitarity
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酉调和俘获费米子的四阶和五阶维里展开
DOI：
10.1103/physrevresearch.3.033099
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发表时间：
2021
影响因子：
4.2
通讯作者：
Drut, J. E.
中科院分区：
文献类型：
--
作者：
Hou, Y.;Morrell, K. J.;Czejdo, A. J.;Drut, J. E.
通过将我们的自动代数方法从齐次空间推广到谐波囚禁系统，我们计算了束缚在各向同性谐波势中的酉极限下的普遍自旋费米子的四阶和五阶维里系数。我们目前的结果，所述系数作为捕获频率（或等效地，温度）的函数，这与以前的Monte Carlo计算（仅在四阶可用），以及与我们以前的估计在未捕获的限制（高温，低频率）相媲美。除了传统的系数，我们提供了估计不同的极化子空间的贡献。我们使用我们的结果的维里系数，再加上重算技术，计算的压缩性和自旋磁化率。
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-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). In addition to the conventional coefficients, we provide estimates for the contributions from subspaces with varying polarization. We use our results for the virial coefficients, together with resummation techniques, to calculate the compressibility and spin susceptibility.
DOI：
--
发表时间：
2011
期刊：
影响因子：
--
作者：
Sumimoto H;Minakami R;Miyano K
通讯作者：
Miyano K