连续时间量子Monte Carlo的对称改进估计
Symmetric Improved Estimators for Continuous-time Quantum Monte Carlo
摘要：
通过对所有时间变量进行对称微分，导出了多轨道Anderson杂质模型格林函数的运动方程。由此产生的方程将单粒子和双粒子格林函数与最多六个粒子的四次散射相关联。作为一个应用程序，我们认为连续时间量子蒙特卡罗模拟的杂交扩展，迄今为止遭受臭名昭著的高噪声水平在大松原频率。采用派生的对称改进估计克服了这个问题。
英文摘要：
We derive equations of motion for Green's functions of the multi-orbital Anderson impurity model by differentiating symmetrically with respect to all time arguments. The resulting equations relate the one- and two-particle Green's function to correlators of up to six particles at four times. As an application we consider continuous-time quantum Monte Carlo simulations in the hybridization expansion, which hitherto suffered from notoriously high noise levels at large Matsubara frequencies. Employing the derived symmetric improved estimators overcomes this problem.
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