论文标题

绿色功能估计量的畸变杂交扩展连续量子蒙特卡洛

Aberration of the Green's function estimator in hybridization expansion continuous-time quantum Monte Carlo

论文作者

Hausoel, Andreas, Wallerberger, Markus, Kaufmann, Josef, Held, Karsten, Sangiovanni, Giorgio

论文摘要

我们描述了通常用于杂交扩展连续量子蒙特卡洛的绿色功能的重采样估计量的畸变。这是由于Pauli原理的原理限制在对安德森杂质模型的计算中,其浴室由离散的能量谱组成。我们确定缺失的Feynman图,表征受影响的模型并讨论含义和解决方案。使用蠕虫采样或在存在连续浴时不会发生此问题。但是,某些能量光谱可以固有地接近离散限制,我们解释了为什么在这些情况下自相关时间会变得非常大。

We describe an aberration of the resampling estimator for the Green's function customarily used in hybridization expansion continuous-time quantum Monte Carlo. It occurs due to Pauli principle constraints in calculations of Anderson impurity models with baths consisting of a discrete energy spectrum. We identify the missing Feynman diagrams, characterize the affected models and discuss implications as well as solutions. This issue does not occur when using worm sampling or in the presence of continuous baths. However certain energy spectra can be inherently close to a discrete limit, and we explain why autocorrelation times can become very large in these cases.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源