Symmetric cluster expansions with tensor networks
Quantum Physics
2021-03-03 v2 Strongly Correlated Electrons
Computational Physics
Abstract
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.
Cite
@article{arxiv.1912.10512,
title = {Symmetric cluster expansions with tensor networks},
author = {Bram Vanhecke and Laurens Vanderstraeten and Frank Verstraete},
journal= {arXiv preprint arXiv:1912.10512},
year = {2021}
}