论文标题
通过量子蒙特卡洛在世界线表示中对异常1D费米的热力学和静态响应
Thermodynamics and static response of anomalous 1D fermions via quantum Monte Carlo in the worldline representation
论文作者
论文摘要
一个空间维度（1D）中具有三体相互作用的三个物种费米的系统已知显示尺度异常。这种异常与两个物种费米的二维（2D）系统相同。但是，这两个系统之间的确切关系仅限于2D情况的两个粒子扇区和1D情况的三粒子扇区。在这里，我们基于全球表示，实施了一种非扰动的蒙特卡洛方法，以计算1D中三物种费米子的热力学和静态响应，从而解决了问题的多体部门。我们确定状态的能量，密度和压力方程，以及多种温度和耦合强度的可压缩性和磁敏感性。我们将结果与三阶病毒扩张进行比较。
A system of three-species fermions in one spatial dimension (1D) with a contact three-body interaction is known to display a scale anomaly. This anomaly is identical to that of a two-dimensional (2D) system of two-species fermions. The exact relation between those two systems, however, is limited to the two-particle sector of the 2D case and the three-particle sector of the 1D case. Here, we implement a non-perturbative Monte Carlo approach, based on the worldline representation, to calculate the thermodynamics and static response of three-species fermions in 1D, thus tackling the many-body sector of the problem. We determine the energy, density, and pressure equations of state, and the compressibility and magnetic susceptibility for a wide range of temperatures and coupling strengths. We compare our results with the third-order virial expansion.
