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Symmetric cluster expansions with tensor networks

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arxiv 1912.10512 v2 pith:7PPB5IY2 submitted 2019-12-22 quant-ph cond-mat.str-elphysics.comp-ph

Bram Vanhecke , Laurens Vanderstraeten , Frank Verstraete This is my paper · ORCID
classification quant-phcond-mat.str-elphysics.comp-ph
keywords clusterdimensionalexpansionsnetworksstatestensortimevery
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Cluster expansions for the exponential of local operators are constructed using tensor networks. In contrast to other approaches, the cluster expansion does not break any spatial or internal symmetries and exhibits a very favourable prefactor to the error scaling versus bond dimension. This is illustrated by time evolving a matrix product state using very large time steps, and by constructing a novel robust algorithm for finding ground states of 2-dimensional Hamiltonians using projected entangled pair states as fixed points of 2-dimensional transfer matrices.

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  1. DMRG Approach to Optimizing Two-Dimensional Tensor Networks

    cond-mat.str-el 2019-08 conditional novelty 6.0 of 10

    A DMRG-style PEPS optimizer that builds an approximate canonical form and solves regular eigenvalue problems is tested on the 2D Heisenberg model, converging close to quantum Monte Carlo energies within about ten sweeps.

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