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20002026
most citedMatrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems

1.8k citations · 31.8k across the 228 of their papers we have counts for

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hep-lat2021★ 1 cited

Entanglement scaling for

Bram Vanhecke, Frank Verstraete, Karel Van Acoleyen

We study the model in dimensions at criticality, and effectuate a simultaneous scaling of UV and IR physics. We demonstrate that the order parameter , the correlati…

hep-lat2020★ 5 cited

Lattice regularisation and entanglement structure of the Gross-Neveu model

Gertian Roose, Nick Bultinck, Laurens Vanderstraeten +3

We construct a Hamiltonian lattice regularisation of the -flavour Gross-Neveu model that manifestly respects the full symmetry, preventing the appearance of any…

hep-lat2017★ 83 cited

Finite-representation approximation of lattice gauge theories at the continuum limit with tensor networks

Boye Buyens, Simone Montangero, Jutho Haegeman +2

It has been established that Matrix Product States can be used to compute the ground state and single-particle excitations and their properties of lattice gauge theories at the con…

hep-lat2016★ 92 cited

Real-time simulation of the Schwinger effect with Matrix Product States

Boye Buyens, Jutho Haegeman, Florian Hebenstreit +2

Matrix Product States (MPS) are used for the simulation of the real-time dynamics induced by an electric quench on the vacuum state of the massive Schwinger model. For small quench…

hep-lat2016★ 86 cited

Hamiltonian simulation of the Schwinger model at finite temperature

Boye Buyens, Frank Verstraete, Karel Van Acoleyen

Using Matrix Product Operators (MPO) the Schwinger model is simulated in thermal equilibrium. The variational manifold of gauge invariant MPO is constructed to represent Gibbs stat…

hep-lat2015★ 3 cited

Tensor networks for gauge field theories

Boye Buyens, Jutho Haegeman, Frank Verstraete +1

Over the last decade tensor network states (TNS) have emerged as a powerful tool for the study of quantum many body systems. The matrix product states (MPS) are one particular clas…