Computer-aided cluster expansion: An efficient algebraic approach for open quantum many-particle systems

We introduce an equation of motion approach that allows for an approximate evaluation of the time evolution of a quantum system, where the algebraic work to derive the equations of motion is done by the computer. The introduced procedures offer a variety of different types of approximations applicable for finite systems with strong coupling as well as for arbitrary large systems where augmented mean-field theories like the cluster expansion can be applied.

本文提出一种运动方程（equation of motion）方法，可实现量子系统时间演化的近似求解，其推导运动方程所需的代数运算由计算机完成。所提出的方案涵盖多种不同类型的近似手段，既可应用于强耦合有限系统，也适用于可采用集团展开（cluster expansion）等拓展平均场理论的任意大尺寸系统。