Wavefunctions for strongly correlated systems

Project Information

WASCOSYS

Grant agreement ID: 636201

DOI 10.3030/636201

Project closed

EC signature date 17 February 2015

Start date 1 March 2015

End date 30 June 2020

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost € 1 338 500,00

EU contribution € 1 338 500,00

Coordinated by

MAX-PLANCK-GESELLSCHAFT ZUR FORDERUNG DER WISSENSCHAFTEN EV
Germany

Publications

Other (5)

Gapped boundaries and string-like excitations in (3+1)d gauge models of topological phases

Author(s): Bullivant, Alex; Delcamp, Clement
Published in: Issue 1, 2020
Publisher: arXiv

Computational complexity of PEPS zero testing

Author(s): Scarpa, G.; Molnar, A.; Ge, Y.; Garcia-Ripoll, J. J.; Schuch, N.; Perez-Garcia, D.; Iblisdir, S.
Published in: Issue 1, 2018
Publisher: arXiv

Matrix product state approximations for infinite systems

Author(s): Schuch, Norbert; Verstraete, Frank
Published in: Issue 1, 2017
Publisher: arXiv

Robustness of critical U(1) spin liquids and emergent symmetries in tensor networks

Author(s): Henrik Dreyer, Laurens Vanderstraeten, Ji-Yao Chen, Ruben Verresen, Norbert Schuch
Published in: 2020
Publisher: arXiv

Resolving Fermi surfaces with tensor networks

Author(s): Quinten Mortier, Norbert Schuch, Frank Verstraete, Jutho Haegeman
Published in: 2020
Publisher: arXiv

Peer reviewed articles (42)

Computing the renormalization group flow of two-dimensional ϕ 4 theory with tensor networks

Author(s): Clement Delcamp, Antoine Tilloy
Published in: Physical Review Research, Issue 2/3, 2020, ISSN 2643-1564
Publisher: APS
DOI: 10.1103/physrevresearch.2.033278

Subsystem symmetry enriched topological order in three dimensions

Author(s): David T. Stephen, José Garre-Rubio, Arpit Dua, Dominic J. Williamson
Published in: Physical Review Research, Issue 2/3, 2020, ISSN 2643-1564
Publisher: APS
DOI: 10.1103/physrevresearch.2.033331

Efficient Description of Many-Body Systems with Matrix Product Density Operators

Author(s): Jiří Guth Jarkovský, András Molnár, Norbert Schuch, J. Ignacio Cirac
Published in: PRX Quantum, Issue 1/1, 2020, ISSN 2691-3399
Publisher: APS
DOI: 10.1103/prxquantum.1.010304

Continuum limits of matrix product states

Author(s): Gemma De las Cuevas, Norbert Schuch, David Perez-Garcia, J. Ignacio Cirac
Published in: Physical Review B, Issue 98/17, 2018, ISSN 2469-9950
Publisher: APS
DOI: 10.1103/PhysRevB.98.174303

Irreducible forms of matrix product states: Theory and applications

Author(s): Gemma De las Cuevas, J. Ignacio Cirac, Norbert Schuch, David Perez-Garcia
Published in: Journal of Mathematical Physics, Issue 58/12, 2017, Page(s) 121901, ISSN 0022-2488
Publisher: American Institute of Physics
DOI: 10.1063/1.5000784

Study of anyon condensation and topological phase transitions from a Z 4 topological phase using the projected entangled pair states approach

Author(s): Mohsin Iqbal, Kasper Duivenvoorden, Norbert Schuch
Published in: Physical Review B, Issue 97/19, 2018, ISSN 2469-9950
Publisher: APS
DOI: 10.1103/PhysRevB.97.195124

Localization with random time-periodic quantum circuits

Author(s): Christoph Sünderhauf, David Pérez-García, David A. Huse, Norbert Schuch, J. Ignacio Cirac
Published in: Physical Review B, Issue 98/13, 2018, ISSN 2469-9950
Publisher: APS
DOI: 10.1103/PhysRevB.98.134204

Normal projected entangled pair states generating the same state

Author(s): Andras Molnar, José Garre-Rubio, David Pérez-García, Norbert Schuch, J Ignacio Cirac
Published in: New Journal of Physics, Issue 20/11, 2018, Page(s) 113017, ISSN 1367-2630
Publisher: Institute of Physics Publishing
DOI: 10.1088/1367-2630/aae9fa

Interplay of SU(2), point group, and translational symmetry for projected entangled pair states: Application to a chiral spin liquid

Author(s): Anna Hackenbroich, Antoine Sterdyniak, Norbert Schuch
Published in: Physical Review B, Issue 98/8, 2018, ISSN 2469-9950
Publisher: APS
DOI: 10.1103/PhysRevB.98.085151

A generalization of the injectivity condition for projected entangled pair states

Author(s): Andras Molnar, Yimin Ge, Norbert Schuch, J. Ignacio Cirac
Published in: Journal of Mathematical Physics, Issue 59/2, 2018, Page(s) 021902, ISSN 0022-2488
Publisher: American Institute of Physics
DOI: 10.1063/1.5007017

Projected entangled pair states with continuous virtual symmetries

Author(s): Henrik Dreyer, J. Ignacio Cirac, Norbert Schuch
Published in: Physical Review B, Issue 98/11, 2018, ISSN 2469-9950
Publisher: APS
DOI: 10.1103/PhysRevB.98.115120

Matrix product density operators: Renormalization fixed points and boundary theories

Author(s): J.I. Cirac, D. P?rez-Garc?a, N. Schuch, F. Verstraete
Published in: Annals of Physics, Issue 378, 2017, Page(s) 100-149, ISSN 0003-4916
Publisher: Academic Press
DOI: 10.1016/j.aop.2016.12.030

Constructing topological models by symmetrization: A projected entangled pair states study

Author(s): Carlos Fern?ndez-Gonz?lez, Roger S. K. Mong, Olivier Landon-Cardinal, David P?rez-Garc?a, Norbert Schuch
Published in: Physical Review B, Issue 94/15, 2016, ISSN 2469-9950
Publisher: APS
DOI: 10.1103/PhysRevB.94.155106

Entanglement phases as holographic duals of anyon condensates

Author(s): Kasper Duivenvoorden, Mohsin Iqbal, Jutho Haegeman, Frank Verstraete, Norbert Schuch
Published in: Physical Review B, Issue 95/23, 2017, ISSN 2469-9950
Publisher: APS
DOI: 10.1103/PhysRevB.95.235119

SU ( 2 ) 1 chiral edge modes of a critical spin liquid

Author(s): Didier Poilblanc, Norbert Schuch, Ian Affleck
Published in: Physical Review B, Issue 93/17, 2016, ISSN 2469-9950
Publisher: APS
DOI: 10.1103/PhysRevB.93.174414

Long-range order and symmetry breaking in projected entangled-pair state models

Author(s): Manuel Rispler, Kasper Duivenvoorden, Norbert Schuch
Published in: Physical Review B, Issue 92/15, 2015, ISSN 1098-0121
Publisher: American Physical Society
DOI: 10.1103/PhysRevB.92.155133

Quantum proofs can be verified using only single-qubit measurements

Author(s): Tomoyuki Morimae, Daniel Nagaj, Norbert Schuch
Published in: Physical Review A, Issue 93/2, 2016, ISSN 2469-9926
Publisher: APS
DOI: 10.1103/PhysRevA.93.022326

Chiral topological spin liquids with projected entangled pair states

Author(s): Didier Poilblanc, J. Ignacio Cirac, Norbert Schuch
Published in: Physical Review B, Issue 91/22, 2015, ISSN 1098-0121
Publisher: American Physical Society
DOI: 10.1103/PhysRevB.91.224431

Shadows of anyons and the entanglement structure of topological phases

Author(s): J. Haegeman, V. Zauner, N. Schuch, F. Verstraete
Published in: Nature Communications, Issue 6, 2015, Page(s) 8284, ISSN 2041-1723
Publisher: Nature Publishing Group
DOI: 10.1038/ncomms9284

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
Publisher: Institute of Physics
DOI: 10.1088/1742-5468/aa7e55

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
Publisher: American Physical Society
DOI: 10.1103/PhysRevLett.119.070401

${\mathbb Z}_N$ symmetry breaking in projected entangled pair state models

Author(s): Manuel Rispler, Kasper Duivenvoorden, Norbert Schuch
Published in: Journal of Physics A: Mathematical and Theoretical, Issue 50/36, 2017, Page(s) 365001, ISSN 1751-8113
Publisher: Institute of Physics Publishing
DOI: 10.1088/1751-8121/aa80f3

Coupled atomic wires in a synthetic magnetic field

Author(s): J. C. Budich, A. Elben, M. Łącki, A. Sterdyniak, M. A. Baranov, P. Zoller
Published in: Physical Review A, Issue 95/4, 2017, ISSN 2469-9926
Publisher: American Physical Society
DOI: 10.1103/PhysRevA.95.043632

Parent Hamiltonians for lattice Halperin states from free-boson conformal field theories

Author(s): Anna Hackenbroich, Hong-Hao Tu
Published in: Nuclear Physics B, Issue 916, 2017, Page(s) 1-27, ISSN 0550-3213
Publisher: Elsevier BV
DOI: 10.1016/j.nuclphysb.2016.12.025

Creating a bosonic fractional quantum Hall state by pairing fermions

Author(s): Cécile Repellin, Tarik Yefsah, Antoine Sterdyniak
Published in: Physical Review B, Issue 96/16, 2017, ISSN 2469-9950
Publisher: Americal Physical Society
DOI: 10.1103/PhysRevB.96.161111

Entanglement renormalization for disordered systems

Author(s): Andrew M. Goldsborough, Glen Evenbly
Published in: Physical Review B, Issue 96/15, 2017, ISSN 2469-9950
Publisher: Americal Physical Society
DOI: 10.1103/PhysRevB.96.155136

Classification of Matrix-Product Unitaries with Symmetries

Author(s): Zongping Gong, Christoph Sünderhauf, Norbert Schuch, J. Ignacio Cirac
Published in: Physical Review Letters, Issue 124/10, 2020, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/PhysRevLett.124.100402

Tube algebras, excitations statistics and compactification in gauge models of topological phases

Author(s): Alex Bullivant, Clement Delcamp
Published in: Journal of High Energy Physics, Issue 2019/10, 2019, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/JHEP10(2019)216

Detecting subsystem symmetry protected topological order via entanglement entropy

Author(s): David T. Stephen, Henrik Dreyer, Mohsin Iqbal, Norbert Schuch
Published in: Physical Review B, Issue 100/11, 2019, ISSN 2469-9950
Publisher: APS
DOI: 10.1103/PhysRevB.100.115112

Gapped SU(3) spin liquid with Z 3 topological order

Author(s): Ivana Kurečić, Laurens Vanderstraeten, Norbert Schuch
Published in: Physical Review B, Issue 99/4, 2019, ISSN 2469-9950
Publisher: APS
DOI: 10.1103/PhysRevB.99.045116

On 2-form gauge models of topological phases

Author(s): Clement Delcamp, Apoorv Tiwari
Published in: Journal of High Energy Physics, Issue 2019/5, 2019, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep05(2019)064

Matrix product state algorithms for Gaussian fermionic states

Author(s): Norbert Schuch, Bela Bauer
Published in: Physical Review B, Issue 100/24, 2019, ISSN 2469-9950
Publisher: Americal Physical Society
DOI: 10.1103/PhysRevB.100.245121

Quantum chaos in the Brownian SYK model with large finite N : OTOCs and tripartite information

Author(s): Christoph Sünderhauf, Lorenzo Piroli, Xiao-Liang Qi, Norbert Schuch, J. Ignacio Cirac
Published in: Journal of High Energy Physics, Issue 2019/11, 2019, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/JHEP11(2019)038

Topological spin liquids: Robustness under perturbations

Author(s): Mohsin Iqbal, Helena Casademunt, Norbert Schuch
Published in: Physical Review B, Issue 101/11, 2020, ISSN 2469-9950
Publisher: APS
DOI: 10.1103/physrevb.101.115101

SU ( 3 ) 1 Chiral Spin Liquid on the Square Lattice: A View from Symmetric Projected Entangled Pair States

Author(s): Ji-Yao Chen, Sylvain Capponi, Alexander Wietek, Matthieu Mambrini, Norbert Schuch, Didier Poilblanc
Published in: Physical Review Letters, Issue 125/1, 2020, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/physrevlett.125.017201

Fermionic tensor networks for higher-order topological insulators from charge pumping

Author(s): Anna Hackenbroich, B. Andrei Bernevig, Norbert Schuch, Nicolas Regnault
Published in: Physical Review B, Issue 101/11, 2020, ISSN 2469-9950
Publisher: APS
DOI: 10.1103/physrevb.101.115134

Gapped Z 2 spin liquid in the breathing kagome Heisenberg antiferromagnet

Author(s): Mohsin Iqbal, Didier Poilblanc, Norbert Schuch
Published in: Physical Review B, Issue 101/15, 2020, ISSN 2469-9950
Publisher: APS
DOI: 10.1103/physrevb.101.155141

Subsystem symmetries, quantum cellular automata, and computational phases of quantum matter

Author(s): David T. Stephen, Hendrik Poulsen Nautrup, Juani Bermejo-Vega, Jens Eisert, Robert Raussendorf
Published in: Quantum, Issue 3, 2019, Page(s) 142, ISSN 2521-327X
Publisher: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
DOI: 10.22331/q-2019-05-20-142

Excitations in strict 2-group higher gauge models of topological phases

Author(s): Alex Bullivant, Clement Delcamp
Published in: Journal of High Energy Physics, Issue 2020/1, 2020, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep01(2020)107

Computationally Universal Phase of Quantum Matter

Author(s): Robert Raussendorf, Cihan Okay, Dong-Sheng Wang, David T. Stephen, Hendrik Poulsen Nautrup
Published in: Physical Review Letters, Issue 122/9, 2019, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/physrevlett.122.090501

Inaccessible entanglement in symmetry protected topological phases

Author(s): Caroline de Groot, David T Stephen, Andras Molnar, Norbert Schuch
Published in: Journal of Physics A: Mathematical and Theoretical, Issue 53/33, 2020, Page(s) 335302, ISSN 1751-8113
Publisher: Institute of Physics Publishing
DOI: 10.1088/1751-8121/ab98c7

Quantum trimer models and topological SU(3) spin liquids on the kagome lattice

Author(s): Sven Jandura, Mohsin Iqbal, Norbert Schuch
Published in: Physical Review Research, Issue 2/3, 2020, ISSN 2643-1564
Publisher: APS
DOI: 10.1103/physrevresearch.2.033382