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Entanglement and Renormalisation for Quantum Fields

Total Cost €


EC-Contrib. €






 ERQUAF project word cloud

Explore the words cloud of the ERQUAF project. It provides you a very rough idea of what is the project "ERQUAF" about.

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Project "ERQUAF" data sheet

The following table provides information about the project.


Organization address
city: GENT
postcode: 9000

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Belgium [BE]
 Total cost 1˙499˙375 €
 EC max contribution 1˙499˙375 € (100%)
 Programme 1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
 Code Call ERC-2016-STG
 Funding Scheme ERC-STG
 Starting year 2017
 Duration (year-month-day) from 2017-02-01   to  2022-01-31


Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    UNIVERSITEIT GENT BE (GENT) coordinator 1˙499˙375.00


 Project objective

Over the past fifteen years, the paradigm of quantum entanglement has revolutionised the understanding of strongly correlated lattice systems. Entanglement and closely related concepts originating from quantum information theory are optimally suited for quantifying and characterising quantum correlations and have therefore proven instrumental for the classification of the exotic phases discovered in condensed quantum matter. One groundbreaking development originating from this research is a novel class of variational many body wave functions known as tensor network states. Their explicit local structure and unique entanglement features make them very flexible and extremely powerful both as a numerical simulation method and as a theoretical tool.

The goal of this proposal is to lift this “entanglement methodology” into the realm of quantum field theory. In high energy physics, the widespread interest in entanglement has only been triggered recently due to the intriguing connections between entanglement and the structure of spacetime that arise in black hole physics and quantum gravity. During the past few years, direct continuum limits of various tensor network ansätze have been formulated. However, the application thereof is largely unexplored territory and holds promising potential. This proposal formulates several advancements and developments for the theoretical and computational study of continuous quantum systems, gauge theories and exotic quantum phases, but also for establishing the intricate relation between entanglement, renormalisation and geometry in the context of the holographic principle. Ultimately, these developments will radically alter the way in which to approach some of the most challenging questions in physics, ranging from the simulation of cold atom systems to non-equilibrium or high-density situations in quantum chromodynamics and the standard model.


year authors and title journal last update
List of publications.
2018 Robijn Vanhove, Matthias Bal, Dominic J. Williamson, Nick Bultinck, Jutho Haegeman, Frank Verstraete
Mapping Topological to Conformal Field Theories through strange Correlators
published pages: , ISSN: 0031-9007, DOI: 10.1103/physrevlett.121.177203
Physical Review Letters 121/17 2020-04-03
2019 Bram Vanhecke, Jutho Haegeman, Karel Van Acoleyen, Laurens Vanderstraeten, Frank Verstraete
Scaling Hypothesis for Matrix Product States
published pages: , ISSN: 0031-9007, DOI: 10.1103/PhysRevLett.123.250604
Physical Review Letters 123/25 2020-04-03
2019 Alexis Schotte, Jose Carrasco, Bram Vanhecke, Laurens Vanderstraeten, Jutho Haegeman, Frank Verstraete, Julien Vidal
Tensor-network approach to phase transitions in string-net models
published pages: , ISSN: 2469-9950, DOI: 10.1103/physrevb.100.245125
Physical Review B 100/24 2020-04-03
2020 Laurens Lootens, Robijn Vanhove, Jutho Haegeman, Frank Verstraete
Galois Conjugated Tensor Fusion Categories and Nonunitary Conformal Field Theory
published pages: , ISSN: 0031-9007, DOI: 10.1103/physrevlett.124.120601
Physical Review Letters 124/12 2020-04-03
2020 Tom Vieijra, Corneel Casert, Jannes Nys, Wesley De Neve, Jutho Haegeman, Jan Ryckebusch, Frank Verstraete
Restricted Boltzmann Machines for Quantum States with Non-Abelian or Anyonic Symmetries
published pages: , ISSN: 0031-9007, DOI: 10.1103/physrevlett.124.097201
Physical Review Letters 124/9 2020-04-03
2019 Laurens Vanderstraeten, Jutho Haegeman, Frank Verstraete
Tangent-space methods for uniform matrix product states
published pages: , ISSN: 2590-1990, DOI: 10.21468/SciPostPhysLectNotes.7
SciPost Physics Lecture Notes 2019-10-29
2019 Gertian Roose, Laurens Vanderstraeten, Jutho Haegeman, Nick Bultinck
Anomalous domain wall condensation in a modified Ising chain
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.99.195132
Physical Review B 99/19 2019-10-29
2018 Mario Berta, Fernando G. S. L. Brandão, Jutho Haegeman, Volkher B. Scholz, Frank Verstraete
Thermal states as convex combinations of matrix product states
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.98.235154
Physical Review B 98/23 2019-10-29
2019 Laurens Vanderstraeten, Jutho Haegeman, Frank Verstraete
Simulating excitation spectra with projected entangled-pair states
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.99.165121
Physical Review B 99/16 2019-10-29
2018 M. T. Fishman, L. Vanderstraeten, V. Zauner-Stauber, J. Haegeman, F. Verstraete
Faster methods for contracting infinite two-dimensional tensor networks
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.98.235148
Physical Review B 98/23 2019-10-29
2017 Laurens Vanderstraeten, Michaël Mariën, Jutho Haegeman, Norbert Schuch, Julien Vidal, Frank Verstraete
Bridging Perturbative Expansions with Tensor Networks
published pages: , ISSN: 0031-9007, DOI: 10.1103/PhysRevLett.119.070401
Physical Review Letters 119/7 2019-06-13
2018 Jutho Haegeman; Brian Swingle; Michael Walter; Jordan Cotler; Glen Evenbly; Volkher B. Scholz
Rigorous Free-Fermion Entanglement Renormalization from Wavelet Theory
published pages: , ISSN: 2160-3308, DOI: 10.3929/ethz-b-000234017
Physical Review X 1 2019-06-13
2018 V. Zauner-Stauber, L. Vanderstraeten, J. Haegeman, I. P. McCulloch, F. Verstraete
Topological nature of spinons and holons: Elementary excitations from matrix product states with conserved symmetries
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.97.235155
Physical Review B 97/23 2019-06-13
2018 Nick Bultinck, Robijn Vanhove, Jutho Haegeman, Frank Verstraete
Global Anomaly Detection in Two-Dimensional Symmetry-Protected Topological Phases
published pages: , ISSN: 0031-9007, DOI: 10.1103/PhysRevLett.120.156601
Physical Review Letters 120/15 2019-06-13
2017 Boye Buyens, Simone Montangero, Jutho Haegeman, Frank Verstraete, Karel Van Acoleyen
Finite-representation approximation of lattice gauge theories at the continuum limit with tensor networks
published pages: , ISSN: 2470-0010, DOI: 10.1103/PhysRevD.95.094509
Physical Review D 95/9 2019-06-13
2018 C. Hubig, J. Haegeman, U. Schollwöck
Error estimates for extrapolations with matrix-product states
published pages: , ISSN: 2469-9950, DOI: 10.1103/physrevb.97.045125
Physical Review B 97/4 2019-06-13
2017 M. Bal, M. Mariën, J. Haegeman, F. Verstraete
Renormalization Group Flows of Hamiltonians Using Tensor Networks
published pages: , ISSN: 0031-9007, DOI: 10.1103/PhysRevLett.118.250602
Physical Review Letters 118/25 2019-06-13

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