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.
Cited by 3
Elmer V.H. Doggen et al., Many-body localization in large systems: Matrix-product-state approach
Annals of Physics, 168437 168437 (2021) [Crossref]
Roberto Verdel et al., Variational classical networks for dynamics in interacting quantum matter
Phys. Rev. B 103, 165103 (2021) [Crossref]
Gianluca Ceruti et al., Time Integration of Tree Tensor Networks
SIAM J. Numer. Anal. 59, 289 (2021) [Crossref]