标题： 费米子自由能的\textit{从头计算}路径积分蒙特卡罗模拟的假想相同粒子 显示英文标题

标题： Fermionic free energies from \textit{ab initio} path integral Monte Carlo simulations of fictitious identical particles

摘要： 我们将最近的$\eta-$系统路径积分蒙特卡罗（PIMC）方法用于自由能 [T.~Dornheim \textit{等人}, \textit{物理评论B} \textbf{111}, L041114 (2025)] 与一种基于插入一个连续变量的虚构分区函数技术相结合，该变量在玻色子和费米子极限之间进行插值 [Xiong 和 Xiong, \textit{J. 化学物理}~\textbf{157}, 094112 (2022)]，以处理费米子符号问题。 作为实际例子，我们将我们的设置应用于广泛密度和温度范围内的温暖致密均匀电子气体。 我们获得了交换-关联自由能的精确结果，直至费米温度的一半，并发现与Groth的最新参数化方法有很好的一致性，\textit{等.}~[\textit{物理评论快报}~\textbf{119}, 135001 (2017)]。 我们的工作为未来研究各种相互作用的费米系统开辟了新的途径，包括温暖稠密物质、超冷原子和量子点中的电子。 显示英文摘要

摘要： We combine the recent $\eta-$ensemble path integral Monte Carlo (PIMC) approach to the free energy [T.~Dornheim \textit{et al.}, \textit{Phys.~Rev.~B} \textbf{111}, L041114 (2025)] with a recent fictitious partition function technique based on inserting a continuous variable that interpolates between the bosonic and fermionic limits [Xiong and Xiong, \textit{J.~Chem.~Phys.}~\textbf{157}, 094112 (2022)] to deal with the fermion sign problem. As a practical example, we apply our set-up to the warm dense uniform electron gas over a broad range of densities and temperatures. We obtain accurate results for the exchange--correlation free energy down to half the Fermi temperature, and find excellent agreement with the state-of-the-art parametrization by Groth \textit{et al.}~[\textit{Phys.~Rev.~Lett.}~\textbf{119}, 135001 (2017)]. Our work opens up new avenues for the future study of a host of interacting Fermi-systems, including warm dense matter, ultracold atoms, and electrons in quantum dots.