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

Benedikt Kloss, Yevgeny Bar Lev, David R. Reichman

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15 Scopus citations
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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.
Original languageEnglish
Article number070
JournalSciPost Physics
Volume9
Issue number5
DOIs
StatePublished - 11 Nov 2020

Keywords

  • cond-mat.str-el
  • quant-ph

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