论文标题
使用树张量网络在二维量子晶格中研究动力学
Studying dynamics in two-dimensional quantum lattices using tree tensor network states
论文作者
论文摘要
我们分析并讨论了用于研究相互作用二维晶格系统动力学的数值精确算法的收敛性。该方法基于时间依赖性变分原理的应用中的应用在二进制和第四纪张量网络状态的流形中。发现该方法与现有的矩阵产品状态方法具有竞争力。我们讨论了与该方法的融合有关的问题，该问题可能与用于研究二维系统的一组更广泛的数值技术有关。
We analyze and discuss convergence properties of a numerically exact algorithm tailored to study the dynamics of interacting two-dimensional lattice systems. The method is based on the application of the time-dependent variational principle in a manifold of binary and quaternary Tree Tensor Network States. The approach is found to be competitive with existing matrix product state approaches. We discuss issues related to the convergence of the method, which could be relevant to a broader set of numerical techniques used for the study of two-dimensional systems.
