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We provide an efficient approximation for the exponential of a local operator in quantum spin systems using tensor-network representations of a cluster expansion.
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V. Zauner-Stauber, L. Vanderstraeten, M. T. Fishman, F. Verstraete, and J. Haegeman, Variational optimization algorithms for uniform matrix product states, Phys. Rev. B 97
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M. T. Fishman, L. Vanderstraeten, V. Zauner-Stauber, J. Haegeman, and F. Verstraete, Faster methods for contracting infinite two-dimensional tensor networks, Phys. Rev. B 98
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B. Vanhecke, J. Haegeman, K. Van Acoleyen, L. Vanderstraeten, and F. Verstraete, Scaling hypothesis for matrix product states, Phys. Rev. Lett. 123
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M. P. Zaletel, R. S. K. Mong, C. Karrasch, J. E. Moore, and F. Pollmann, Time-evolving a matrix product state with long-ranged interactions, Phys. Rev. B 91
2015
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A. Molnar, N. Schuch, F. Verstraete, and J. I. Cirac, Approximating Gibbs states of local Hamiltonians efficiently with projected entangled pair states, Phys. Rev. B 91
2015
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G. Evenbly and G. Vidal, Tensor network renormalization, Phys. Rev. Lett. 115
2015
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S. Hesselmann and S. Wessel, Thermal Ising transitions in the vicinity of two-dimensional quantum critical points, Phys. Rev. B 93
2016
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2019
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P. Czarnik and P. Corboz, Finite correlation length scaling with infinite projected entangled pair states at finite temperature, Phys. Rev. B 99
2019
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P. Czarnik, J. Dziarmaga, and P. Corboz, Time evolution of an infinite projected entangled pair state: An efficient algorithm, Phys. Rev. B 99
2019
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B. Vanhecke, L. Vanderstraeten, and F. Verstraete, Symmetric cluster expansions with tensor networks, Phys. Rev. A 103
2021
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D. Poilblanc, M. Mambrini, and F. Alet, Finite-temperature symmetric tensor network for spin-1/2 Heisenberg antiferromagnets on the square lattice, SciPost Phys. 10
2021
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