Diamantis Nikolaos G, Manousakis Efstratios
Department of Physics, University of Athens, Panepistimioupolis, Zografos, 157 84 Athens, Greece.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Oct;88(4):043302. doi: 10.1103/PhysRevE.88.043302. Epub 2013 Oct 9.
The diagrammatic Monte Carlo (DiagMC) method is a numerical technique which samples the entire diagrammatic series of the Green's function in quantum many-body systems. In this work, we incorporate the flat histogram principle in the diagrammatic Monte Carlo method, and we term the improved version the "flat histogram diagrammatic Monte Carlo" method. We demonstrate the superiority of this method over the standard DiagMC in extracting the long-imaginary-time behavior of the Green's function, without incorporating any a priori knowledge about this function, by applying the technique to the polaron problem.
图解蒙特卡罗（DiagMC）方法是一种数值技术，用于对量子多体系统中格林函数的整个图解级数进行抽样。在这项工作中，我们将平直方图原理纳入图解蒙特卡罗方法，并将改进后的版本称为“平直方图图解蒙特卡罗”方法。通过将该技术应用于极化子问题，我们证明了这种方法在提取格林函数的长虚时行为方面优于标准的DiagMC，且无需引入任何关于该函数的先验知识。
