Studying dynamics in two-dimensional quantum lattices using tree tensor network states
Strongly Correlated Electrons
2020-11-11 v3 Quantum Physics
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.
Cite
@article{arxiv.2003.08944,
title = {Studying dynamics in two-dimensional quantum lattices using tree tensor network states},
author = {Benedikt Kloss and Yevgeny Bar Lev and David R. Reichman},
journal= {arXiv preprint arXiv:2003.08944},
year = {2020}
}
Comments
11 pages, 10 figures