论文标题
通过复杂的langevin的谐波捕获超低费物的密度曲线和相关性
Density profiles and correlations of harmonically trapped ultracold fermions via complex Langevin
论文作者
论文摘要
在排斥接触相互作用的情况下，具有两个自旋组件的非相关性费米气体的标准晶格制剂遇到了一个符号问题，并且与自旋失衡的有吸引力的接触相互作用。在两种情况下，我们讨论了此标志问题的性质以及随机定量随机定量的适用性。对于排斥相互作用，我们发现结果使用自适应步长缩放和高斯调节器来收敛，以修改晶格动作。我们介绍了一个空间维度中的密度曲线和谐波捕获系统的相关性的结果。
Standard lattice formulations of non-relativistic Fermi gases with two spin components suffer from a sign problem in the cases of repulsive contact interactions and attractive contact interactions with spin imbalance. We discuss the nature of this sign problem and the applicability of stochastic quantisation with complex Langevin evolution in both cases. For repulsive interactions, we find that the results converge, using adaptive step size scaling and a Gaussian regulator to modify the lattice action. We present results on density profiles and correlations of a harmonically trapped system in one spatial dimension.
