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Quantum Tensor Networks and Entanglement

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Publications

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

Author(s): Boye Buyens, Simone Montangero, Jutho Haegeman, Frank Verstraete, Karel Van Acoleyen
Published in: Physical Review D, Issue 95/9, 2017, Page(s) 23, ISSN 2470-0010
DOI: 10.1103/PhysRevD.95.094509

Quantum Gross-Pitaevskii Equation

Author(s): Jutho Haegeman, Frank Verstraete, Damian Draxler, Vid Stojevic, Ignacio Cirac, Tobias Osborne
Published in: SciPost Physics, Issue 3/1, 2017, Page(s) 18, ISSN 2542-4653
DOI: 10.21468/SciPostPhys.3.1.006

Bridging Perturbative Expansions with Tensor Networks

Author(s): Laurens Vanderstraeten, Michaël Mariën, Jutho Haegeman, Norbert Schuch, Julien Vidal, Frank Verstraete
Published in: Physical Review Letters, Issue 119/7, 2017, ISSN 0031-9007
DOI: 10.1103/PhysRevLett.119.070401

Matrix product density operators: Renormalization fixed points and boundary theories

Author(s): J.I. Cirac, D. Pérez-García, N. Schuch, F. Verstraete
Published in: Annals of Physics, Issue 378, 2017, Page(s) 100-149, ISSN 0003-4916
DOI: 10.1016/j.aop.2016.12.030

Renormalization Group Flows of Hamiltonians Using Tensor Networks

Author(s): M. Bal, M. Mariën, J. Haegeman, F. Verstraete
Published in: Physical Review Letters, Issue 118/25, 2017, ISSN 0031-9007
DOI: 10.1103/PhysRevLett.118.250602

Condensation-driven phase transitions in perturbed string nets

Author(s): Michaël Mariën, Jutho Haegeman, Paul Fendley, Frank Verstraete
Published in: Physical Review B, Issue 96/15, 2017, Page(s) 9, ISSN 2469-9950
DOI: 10.1103/PhysRevB.96.155127​

Matrix product unitaries: structure, symmetries, and topological invariants

Author(s): J Ignacio Cirac, David Perez-Garcia, Norbert Schuch, Frank Verstraete
Published in: Journal of Statistical Mechanics: Theory and Experiment, Issue 2017/8, 2017, Page(s) 083105, ISSN 1742-5468
DOI: 10.1088/1742-5468/aa7e55

Unifying time evolution and optimization with matrix product states

Author(s): Jutho Haegeman, Christian Lubich, Ivan Oseledets, Bart Vandereycken, Frank Verstraete
Published in: Physical Review B, Issue 94/16, 2016, Page(s) 10, ISSN 2469-9950
DOI: 10.1103/PhysRevB.94.165116

Entanglement of Distillation for Lattice Gauge Theories

Author(s): Karel Van Acoleyen, Nick Bultinck, Jutho Haegeman, Michael Marien, Volkher B. Scholz, Frank Verstraete
Published in: Physical Review Letters, Issue 117/13, 2016, ISSN 0031-9007
DOI: 10.1103/PhysRevLett.117.131602

Symmetry breaking and the geometry of reduced density matrices

Author(s): V Zauner, D Draxler, L Vanderstraeten, J Haegeman, F Verstraete
Published in: New Journal of Physics, Issue 18/11, 2016, Page(s) 113033, ISSN 1367-2630
DOI: 10.1088/1367-2630/18/11/113033

Matrix product state renormalization

Author(s): M. Bal, M. M. Rams, V. Zauner, J. Haegeman, F. Verstraete
Published in: Physical Review B, Issue 94/20, 2016, Page(s) 14, ISSN 2469-9950
DOI: 10.1103/PhysRevB.94.205122

Gradient methods for variational optimization of projected entangled-pair states

Author(s): Laurens Vanderstraeten, Jutho Haegeman, Philippe Corboz, Frank Verstraete
Published in: Physical Review B, Issue 94/15, 2016, Page(s) 14, ISSN 2469-9950
DOI: 10.1103/PhysRevB.94.155123

Excitations and the tangent space of projected entangled-pair states

Author(s): Laurens Vanderstraeten, Michaël Mariën, Frank Verstraete, Jutho Haegeman
Published in: Physical Review B, Issue 92/20, 2015, ISSN 1098-0121
DOI: 10.1103/PhysRevB.92.201111

Scattering particles in quantum spin chains

Author(s): Laurens Vanderstraeten, Frank Verstraete, Jutho Haegeman
Published in: Physical Review B, Issue 92/12, 2015, ISSN 1098-0121
DOI: 10.1103/PhysRevB.92.125136

Quasiparticle interactions in frustrated Heisenberg chains

Author(s): Laurens Vanderstraeten, Jutho Haegeman, Frank Verstraete, Didier Poilblanc
Published in: Physical Review B, Issue 93/23, 2016, Page(s) 8, ISSN 2469-9950
DOI: 10.1103/PhysRevB.93.235108

Simulating excitation spectra with projected entangled-pair states

Author(s): Laurens Vanderstraeten, Jutho Haegeman, Frank Verstraete
Published in: Physical Review B, Issue 99/16, 2019, ISSN 2469-9950
DOI: 10.1103/PhysRevB.99.165121

Scaling Hypothesis for Matrix Product States

Author(s): Bram Vanhecke, Jutho Haegeman, Karel Van Acoleyen, Laurens Vanderstraeten, Frank Verstraete
Published in: Physical Review Letters, Issue 123/25, 2019, ISSN 0031-9007
DOI: 10.1103/PhysRevLett.123.250604

Quasiparticles in Quantum Spin Chains with Long-Range Interactions

Author(s): Laurens Vanderstraeten, Maarten Van Damme, Hans Peter Büchler, Frank Verstraete
Published in: Physical Review Letters, Issue 121/9, 2018, ISSN 0031-9007
DOI: 10.1103/PhysRevLett.121.090603

Fermionic projected entangled-pair states and topological phases

Author(s): Nick Bultinck, Dominic J Williamson, Jutho Haegeman, Frank Verstraete
Published in: Journal of Physics A: Mathematical and Theoretical, Issue 51/2, 2018, Page(s) 025202, ISSN 1751-8113
DOI: 10.1088/1751-8121/aa99cc

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

Author(s): Laurens Vanderstraeten, Bram Vanhecke, Andreas M. Läuchli, Frank Verstraete
Published in: Physical Review E, Issue 100/6, 2019, ISSN 2470-0045
DOI: 10.1103/PhysRevE.100.062136

Global Anomaly Detection in Two-Dimensional Symmetry-Protected Topological Phases

Author(s): Nick Bultinck, Robijn Vanhove, Jutho Haegeman, Frank Verstraete
Published in: Physical Review Letters, Issue 120/15, 2018, ISSN 0031-9007
DOI: 10.1103/PhysRevLett.120.156601

Residual entropies for three-dimensional frustrated spin systems with tensor networks

Author(s): Laurens Vanderstraeten, Bram Vanhecke, Frank Verstraete
Published in: Physical Review E, Issue 98/4, 2018, ISSN 2470-0045
DOI: 10.1103/PhysRevE.98.042145

Topological nature of spinons and holons: Elementary excitations from matrix product states with conserved symmetries

Author(s): V. Zauner-Stauber, L. Vanderstraeten, J. Haegeman, I. P. McCulloch, F. Verstraete
Published in: Physical Review B, Issue 97/23, 2018, ISSN 2469-9950
DOI: 10.1103/PhysRevB.97.235155

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

Author(s): Alexis Schotte, Jose Carrasco, Bram Vanhecke, Laurens Vanderstraeten, Jutho Haegeman, Frank Verstraete, Julien Vidal
Published in: Physical Review B, Issue 100/24, 2019, ISSN 2469-9950
DOI: 10.1103/physrevb.100.245125

Thermal states as convex combinations of matrix product states

Author(s): Mario Berta, Fernando G. S. L. Brandão, Jutho Haegeman, Volkher B. Scholz, Frank Verstraete
Published in: Physical Review B, Issue 98/23, 2018, ISSN 2469-9950
DOI: 10.1103/physrevb.98.235154

Mapping Topological to Conformal Field Theories through strange Correlators

Author(s): Robijn Vanhove, Matthias Bal, Dominic J. Williamson, Nick Bultinck, Jutho Haegeman, Frank Verstraete
Published in: Physical Review Letters, Issue 121/17, 2018, ISSN 0031-9007
DOI: 10.1103/physrevlett.121.177203

Faster methods for contracting infinite two-dimensional tensor networks

Author(s): M. T. Fishman, L. Vanderstraeten, V. Zauner-Stauber, J. Haegeman, F. Verstraete
Published in: Physical Review B, Issue 98/23, 2018, ISSN 2469-9950
DOI: 10.1103/PhysRevB.98.235148

Galois Conjugated Tensor Fusion Categories and Nonunitary Conformal Field Theory

Author(s): Laurens Lootens, Robijn Vanhove, Jutho Haegeman, Frank Verstraete
Published in: Physical Review Letters, Issue 124/12, 2020, ISSN 0031-9007
DOI: 10.1103/physrevlett.124.120601

Variational optimization algorithms for uniform matrix product states

Author(s): V. Zauner-Stauber, L. Vanderstraeten, M. T. Fishman, F. Verstraete, J. Haegeman
Published in: Physical Review B, Issue 97/4, 2018, ISSN 2469-9950
DOI: 10.1103/PhysRevB.97.045145

Tangent-space methods for uniform matrix product states

Author(s): Laurens Vanderstraeten, Jutho Haegeman, Frank Verstraete
Published in: SciPost Physics Lecture Notes, 2019, ISSN 2590-1990
DOI: 10.21468/SciPostPhysLectNotes.7

Diagonalizing Transfer Matrices and Matrix product operators: a medley of exact and computational methods

Author(s): Jutho Haegeman and Frank Verstraete
Published in: Annual review of condensed matter physics, Issue 8/1, 2017, ISSN 1947-5454
DOI: 10.1146/annurev-conmatphys-031016-025507

Anyons and matrix product operator algebras

Author(s): Nick Bultinck, Michaël Mariën, D.J. Williamson, M.B. Sahinoglu, Jutho Haegeman and Frank Verstraete
Published in: Annals of Physics, Issue 378, 2017, ISSN 0003-4916
DOI: 10.1016/j.aop.2017.01.004

Fermionic matrix product states and one-dimensional topological phases

Author(s): Nick Bultinck, Dominic J. Williemson, Jutho Haegeman and Frank Verstraete
Published in: Physical Review B, Issue 95/7, 2017, Page(s) 24, ISSN 2469-9950
DOI: 10.1103/PhysRevB.95.075108

Entanglement rates and the stability of the area law of the entanglement entropy

Author(s): Michaël Mariën, Koenraad Audenaert, Karel van Acoleyen and Frank Verstraete
Published in: Communications in Mathematical Physics, Issue 346/1, 2016, Page(s) 35-73, ISSN 0010-3616
DOI: 10.1007/s00220-016-2709-5

Continuous matrix product states with periodic boundary conditions and an application to atomtronics

Author(s): Damian Draxler, Jutho Haegeman , Frank Verstraete and Matteo Rizzi
Published in: Physical Review B, Issue 95/4, 2017, ISSN 2469-9950
DOI: 10.1103/PhysRevB.95.045145

Tensor networks for gauge field theories

Author(s): Boye Buyens , Jutho Haegeman , Frank Verstraete and Karel Van Acoleyen
Published in: Proceeding of science, Issue 280, 2016, Page(s) 7, ISSN 1824-8039

Tensor-product state approach to spin-1/2 square J₁-J2 antiferromagnetic Heisenberg model: evidence for deconfined quantum criticality

Author(s): Ling Wang, Zheng-Cheng Gu, Frank Verstraete and Xiao-Gang Wen
Published in: Physical review B, Issue 94/7, 2016, Page(s) 6, ISSN 2469-9950
DOI: 10.1103/PhysRevB.94.075143

Hamiltonian simulation of the Schwinger model at finite temperature

Author(s): Boye Buyens, Frank Verstraetet and Karel Van Acoleyen
Published in: Physical Review D, Issue 94, 2016, Page(s) 33, ISSN 2470-0010
DOI: 10.1103/PhysRevD.94.085018

Confinement and string breaking for QED2 in the Hamiltonian picture

Author(s): Boye Buyens , Jutho Haegeman, Henri Verschelde, Frank Verstraete and Karel Van Acoleyen
Published in: Physical review X, Issue 6/4, 2016, Page(s) 32, ISSN 2160-3308
DOI: 10.1103/PhysRevX.6.041040

Truncating an exact matrix product state for the XY model: transfer matrix and its renormalization

Author(s): Marek M Rams, Valentin Zauner, Matthias Bal, Jutho Haegeman and Frank Verstraete
Published in: Physical review B, Issue 92/23, 2016, Page(s) 13, ISSN 1098-0121
DOI: 10.1103/PhysRevB.92.235150