Studying dynamics in two-dimensional quantum lattices using tree tensor network states

• URL: http://arxiv.org/abs/2003.08944v3
• Date: Sat, 18 Jul 2020 16:10:30 GMT
• Title: Studying dynamics in two-dimensional quantum lattices using tree tensor network states
• Authors: Benedikt Kloss, Yevgeny Bar Lev, David R. Reichman
• Abstract summary: We analyze and discuss convergence properties of a numerically exact algorithm tailored to study the dynamics of interacting two-dimensional lattice systems. 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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