世界线表象下一维反常费米子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
摘要：
在一维空间中的三种费米子系统与接触三体相互作用被称为显示的尺度异常。这种异常与两种费米子的二维系统相同。然而，这两个系统之间的确切关系仅限于二维情况下的两粒子扇区和一维情况下的三粒子扇区。在这里，我们实现了一个非微扰蒙特卡罗方法，基于世界线表示，计算热力学和静态响应的三种费米子在1D中，从而解决多体部门的问题。我们确定的能量，密度和压力的状态方程，并在很宽的温度范围和耦合强度的可压缩性和磁化率。我们比较我们的结果与三阶维里展开。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
