Hirsch-Fye方法与弱耦合图解量子蒙特卡罗方法的关系
The relationship between Hirsch-Fye and weak coupling diagrammatic Quantum Monte Carlo methods
摘要：
两种弱耦合连续时间量子蒙特卡罗（CTQMC）方法对于类哈伯德相互作用是等效的。这些CTQMC方法和Hirsch-Fye量子蒙特卡罗（HFQMC）方法之间的关系建立，识别后者作为近似CTQMC内，并提供了一个图解解释。HFQMC和CTQMC被证明是等价的HFQMC中的时间片的数量成为无穷大，这意味着在此限制相同程度的费米子符号问题。
英文摘要：
Two weak coupling Continuous Time Quantum Monte Carlo (CTQMC) methods are shown to be equivalent for Hubbard-like interactions. A relation between these CTQMC methods and the Hirsch-Fye Quantum Monte Carlo (HFQMC) method is established, identifying the latter as an approximation within CTQMC and providing a diagrammatic interpretation. Both HFQMC and CTQMC are shown to be equivalent when the number of time slices in HFQMC becomes infinite, implying the same degree of fermion sign problem in this limit.
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。
