标题： 扩展杂化展开求解器，用于具有延迟相互作用的杂质模型 显示英文标题

标题： Extended Hybridization Expansion Solver for Impurity Models with Retarded Interactions

摘要： 我们将连续时间杂化展开求解器推广到一般形式，在这种形式下，杂化函数和推迟相互作用被同等对待。 现在可以通过对玻色子传播子的泛函导数直接得到关联函数，类似于测量格林函数。 我们设计了一种测量关联函数的组合方案，其效率部分模拟了测量格林函数的效率。 通过将其应用于涉及电子-声子耦合和交换相互作用的杂质模型（在这种情况下，先前的杂化展开算法不适用），验证了该算法和数值方法。 我们对杂化展开求解器的改进促进了其在电子-声子耦合、扩展的动力学平均场理论以及双重玻色子方法研究中的应用。 显示英文摘要

摘要： We extend the continuous-time hybridization expansion solver to a general form, where the hybridization function and retarded interaction are treated on equal footing. Correlation functions can now be directly obtained via functional derivatives with respect to the bosonic propagators, similar to the measurement of Green's functions. We devise a combinatorial scheme of measuring the correlation function, whose efficiency partially emulates that of the Green's function measurement. The algorithm and numerical methods are validated through application to an impurity model involving both electron-phonon coupling and exchange interactions, a case where the previous hybridization expansion algorithm is not applicable. Our improvement of the hybridization expansion solver promotes its applicability in studies of electron-phonon coupling, the extended dynamical mean field theory, and the dual boson method.