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

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arxiv 2003.08944 v3 pith:JU4VSULT submitted 2020-03-19 cond-mat.str-el quant-ph

Benedikt Kloss , Yevgeny Bar Lev , David R. Reichman This is my paper · ORCID
classification cond-mat.str-elquant-ph
keywords two-dimensionalconvergencediscussdynamicsmethodnetworkstatessystems
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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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  1. Classification of symmetry-protected topological phases in two-dimensional many body-localized systems

    cond-mat.dis-nn 2019-08 conditional novelty 6.0 of 10

    Two-dimensional many-body-localized systems with an on-site abelian symmetry are shown to carry a topological index in the (generalized) third cohomology group of the symmetry group, robust to local perturbations.

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