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20122026
most citedVariational optimization algorithms for uniform matrix product states

270 citations · 2.3k across the 66 of their papers we have counts for

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Showing 2019Show all

6 papers · 1 filter

quant-ph2019★ 24 cited

Symmetric cluster expansions with tensor networks

Bram Vanhecke, Laurens Vanderstraeten, Frank Verstraete

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 o…

cond-mat.str-el2019★ 24 cited

Spinon confinement and deconfinement in spin-1 chains

Laurens Vanderstraeten, Elisabeth Wybo, Natalia Chepiga +2

Motivated by the rich phase diagrams recently unveiled in frustrated spin-1 chains with competing next-nearest neighbour and four-spin interactions, we investigate the nature of th…

cond-mat.str-el2019★ 25 cited

Tensor-network approach to phase transitions in string-net models

Alexis Schotte, Jose Carrasco, Bram Vanhecke +4

We use a recently proposed class of tensor-network states to study phase transitions in string-net models. These states encode the genuine features of the string-net condensate suc…

cond-mat.stat-mech2019★ 59 cited

A scaling hypothesis for matrix product states

Bram Vanhecke, Jutho Haegeman, Karel Van Acoleyen +2

We revisit the question of describing critical spin systems and field theories using matrix product states, and formulate a scaling hypothesis in terms of operators, eigenvalues of…

cond-mat.stat-mech2019★ 42 cited

Approaching the Kosterlitz-Thouless transition for the classical XY model with tensor networks

Laurens Vanderstraeten, Bram Vanhecke, Andreas M. Laeuchli +1

We apply variational tensor-network methods for simulating the Kosterlitz-Thouless phase transition in the classical two-dimensional XY model. In particular, using uniform matrix p…

cond-mat.str-el2019★ 26 cited

Real-time scattering of interacting quasiparticles in quantum spin chains

Maarten Van Damme, Laurens Vanderstraeten, Jacopo De Nardis +2

We develop a method based on tensor networks to create localized single particle excitations on top of strongly-correlated quantum spin chains. In analogy to the problem of creatin…