State-of-the-art simulations of quantum many-body systems with the next-generation tensor network algorithms

Project Information

NexGenTeN

Grant agreement ID: 101001604

DOI

10.3030/101001604

EC signature date 17 December 2020

Start date 1 December 2021

End date 31 May 2027

Funded under

EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 999 630,00

EU contribution

€ 1 999 630,00

1 999 630,00

Coordinated by

UNIVERSITEIT VAN AMSTERDAM
Netherlands

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Efficient simulations of epidemic models with tensor networks: application to the one-dimensional SIS model

Author(s): Wout Merbis; Clelia de Mulatier; Philippe Corboz
Published in: Physical Review E, Issue 108, 2023, Page(s) 024303, ISSN 2470-0045
Publisher: American Physical Society
DOI: 10.1103/physreve.108.024303

Simulating spin dynamics of supersolid states in a quantum Ising magnet

Author(s): Yi Xu, Juraj Hasik, Boris Ponsioen, Andriy H. Nevidomskyy
Published in: Physical Review B, Issue 111, 2025, ISSN 2469-9950
Publisher: American Physical Society (APS)
DOI: 10.1103/physrevb.111.l060402

Static and dynamical signatures of Dzyaloshinskii-Moriya interactions in the Heisenberg model on the kagome lattice

Author(s): Francesco Ferrari, Sen Niu, Juraj Hasik, Yasir Iqbal, Didier Poilblanc, Federico Becca
Published in: SciPost Physics, Issue 14, 2023, Page(s) 139, ISSN 2542-4653
Publisher: SciPost
DOI: 10.21468/scipostphys.14.6.139

Competing States in the Two-Dimensional Frustrated Kondo-Necklace Model

Author(s): Matthias Peschke; Boris Ponsioen; Philippe Corboz
Published in: Physical Review B, Issue 106, 2022, Page(s) 205140, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.48550/arxiv.2209.04231

Simulating Chiral Spin Liquids with Projected Entangled-Pair States

Author(s): Juraj Hasik; Maarten Van Damme; Didier Poilblanc; Laurens Vanderstraeten
Published in: Physical Review Letters, Issue 129, 2022, ISSN 1079-7114
Publisher: American Physical Society
DOI: 10.48550/arxiv.2201.07758

YASTN: Yet another symmetric tensor networks; A Python library for Abelian symmetric tensor network calculations

Author(s): Marek Rams, Gabriela Wojtowicz, Aritra Sinha, Juraj Hasik
Published in: SciPost Physics Codebases, 2025, ISSN 2949-804X
Publisher: Stichting SciPost
DOI: 10.21468/scipostphyscodeb.52

Spectral functions with infinite projected entangled-pair states

Author(s): Juan Diego Arias Espinoza, Philippe Corboz
Published in: Physical Review B, Issue 110, 2024, Page(s) 094314, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/physrevb.110.094314

Efficient iPEPS simulation on the honeycomb lattice via QR-based corner transfer matrix renormalization group

Author(s): Qi Yang, Philippe Corboz
Published in: Physical Review B, Issue 113, 2026, ISSN 2469-9950
Publisher: American Physical Society (APS)
DOI: 10.1103/9gmp-byx8

Accelerating two-dimensional tensor network optimization by preconditioning

Author(s): Xing-Yu Zhang, Qi Yang, Philippe Corboz, Jutho Haegeman, Wei Tang
Published in: Physical Review B, Issue 113, 2026, ISSN 2469-9950
Publisher: American Physical Society (APS)
DOI: 10.1103/h396-yc28

Tensor network study of the Shastry-Sutherland model with weak interlayer coupling

Author(s): Vlaar, Patrick C. G.; Corboz, Philippe
Published in: SciPost Physics, Issue 15, 2023, Page(s) 126, ISSN 2542-4653
Publisher: SciPost
DOI: 10.21468/scipostphys.15.4.126

Superconducting stripes in the hole-doped three-band Hubbard model

Author(s): Boris Ponsioen, Sangwoo S. Chung, Philippe Corboz
Published in: Physical Review B, Issue 108, 2023, Page(s) 205154, ISSN 1550-235X
Publisher: American Physical Society
DOI: 10.1103/physrevb.108.205154

Efficient Tensor Network Algorithm for Layered Systems

Author(s): P. C. G. Vlaar, P. Corboz
Published in: Physical Review Letters, Issue 130, 2023, Page(s) 130601, ISSN 1079-7114
Publisher: American Physical Society
DOI: 10.1103/physrevlett.130.130601

Unveiling new quantum phases in the Shastry-Sutherland compound SrCu2(BO3)2 up to the saturation magnetic field

Author(s): T. Nomura; P. Corboz; A. Miyata; S. Zherlitsyn; Y. Ishii; Y. Kohama; Y. H. Matsuda; A. Ikeda; C. Zhong; H. Kageyama; F. Mila
Published in: Nature Communications, Issue 14, 2023, Page(s) 3769, ISSN 2041-1723
Publisher: Nature Publishing Group
DOI: 10.1038/s41467-023-39502-5

Accelerating two-dimensional tensor network contractions using QR decompositions

Author(s): Yining Zhang, Qi Yang, Philippe Corboz
Published in: Physical Review B, Issue 113, 2026, ISSN 2469-9950
Publisher: American Physical Society (APS)
DOI: 10.1103/ptls-kr9z

"Improved summations of <mml:math xmlns:mml=""http://www.w3.org/1998/Math/MathML""><mml:mi>n</mml:mi></mml:math> -point correlation functions of projected entangled-pair states"

Author(s): Boris Ponsioen; Juraj Hasik; Philippe Corboz
Published in: Physical Review B, Issue 108, 2023, Page(s) 195111, ISSN 1550-235X
Publisher: American Physical Society
DOI: 10.1103/physrevb.108.195111

Chiral spin liquids on the kagome lattice with projected entangled simplex states

Author(s): Sen Niu; Juraj Hasik; Ji-Yao Chen; Didier Poilblanc
Published in: Physical Review B, Issue 106, 2022, Page(s) 245119, ISSN 1550-235X
Publisher: American Physical Society
DOI: 10.1103/physrevb.106.245119

Symmetric projected entangled-pair states analysis of a phase transition in coupled spin-1/2 ladders

Author(s): Juraj Hasik; Glen Bigan Mbeng; Sylvain Capponi; Federico Becca; Andreas M. Läuchli
Published in: Physical Review B, Issue 106, 2022, Page(s) 125154, ISSN 1550-235X
Publisher: American Physical Society
DOI: 10.1103/physrevb.106.125154

Incommensurate Order with Translationally Invariant Projected Entangled-Pair States: Spiral States and Quantum Spin Liquid on the Anisotropic Triangular Lattice

Author(s): Juraj Hasik, Philippe Corboz
Published in: Physical Review Letters, Issue 133, 2025, Page(s) 176502, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/physrevlett.133.176502

Automatic Differentiation Applied to Excitations with Projected Entangled Pair States

Author(s): B. Ponsioen, F. Assaad, and P. Corboz
Published in: SciPost Physics, Issue 12, 2022, Page(s) 006, ISSN 2542-4653
Publisher: SciPost
DOI: 10.21468/scipostphys.12.1.006

Variational methods for contracting projected entangled-pair states

Author(s): L. Vanderstraeten, L. Burgelman, B. Ponsioen, M. Van Damme, B. Vanhecke, P. Corboz, J. Haegeman, F. Verstraete
Published in: Physical Review B, Issue 105, 2022, Page(s) 195140, ISSN 1550-235X
Publisher: American Physical Society
DOI: 10.1103/physrevb.105.195140

Quantum Spin Liquid Phase in the Shastry-Sutherland Model Revealed by High-Precision Infinite Projected Entangled-Pair States

Author(s): Philippe Corboz, Yining Zhang, Boris Ponsioen, Frédéric Mila
Published in: Physical Review Letters, Issue 136, 2026, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/67xm-5d8v

Itinerant magnetism in the triangular-lattice Hubbard model at half doping: Application to twisted transition metal dichalcogenides

Author(s): Yuchi He, Roman Rausch, Matthias Peschke, Christoph Karrasch, Philippe Corboz, Nick Bultinck, S. A. Parameswaran
Published in: Physical Review B, Issue 113, 2026, ISSN 2469-9950
Publisher: American Physical Society (APS)
DOI: 10.1103/1k49-msfx

Discovery of quantum phases in the Shastry-Sutherland compound SrCu2(BO3)2 under extreme conditions of field and pressure

Author(s): Z. Shi, S. Dissanayake, P. Corboz, W. Steinhardt, D. Graf, D. M. Silevitch, H. A. Dabkowska, T. F. Rosenbaum, F. Mila, S. Haravifard
Published in: Nature Communications, Issue 13, 2022, Page(s) 1, ISSN 2041-1723
Publisher: Nature Publishing Group
DOI: 10.1038/s41467-022-30036-w

Exploiting the Hermitian symmetry in tensor network algorithms

Author(s): Oscar van Alphen, Stijn V. Kleijweg, Juraj Hasik, Philippe Corboz
Published in: Physical Review B, Issue 111, 2025, ISSN 2469-9950
Publisher: American Physical Society (APS)
DOI: 10.1103/physrevb.111.045105

Phase diagram of the chiral SU(3) antiferromagnet on the kagome lattice

Author(s): Yi Xu; Sylvain Capponi; Ji-Yao Chen; Laurens Vanderstraeten; Juraj Hasik; Andriy H. Nevidomskyy; Matthieu Mambrini; Karlo Penc; Didier Poilblanc
Published in: Physical Review B, Issue 108, 2023, Page(s) 195153, ISSN 1550-235X
Publisher: American Physical Society
DOI: 10.1103/physrevb.108.195153

Codebase release 1.2 for YASTN

Author(s): Marek Rams, Gabriela Wojtowicz, Aritra Sinha, Juraj Hasik
Published in: SciPost Physics Codebases, 2025, ISSN 2949-804X
Publisher: Stichting SciPost
DOI: 10.21468/scipostphyscodeb.52-r1.2

Effective dimensional reduction of complex systems based on tensor networks

Author(s): Wout Merbis, Madelon Geurts, Clélia de Mulatier, Philippe Corboz
Published in: Journal of Physics: Complexity, Issue 6, 2025, Page(s) 025004, ISSN 2632-072X
Publisher: IOP Publishing
DOI: 10.1088/2632-072x/adc650

Weakly first-order melting of the 1/3 plateau in the Shastry-Sutherland model

Author(s): Samuel Nyckees, Philippe Corboz, Frédéric Mila
Published in: Physical Review B, Issue 111, 2025, ISSN 2469-9950
Publisher: American Physical Society (APS)
DOI: 10.1103/physrevb.111.014428

Tensor network algorithms for three-dimensional quantum systems

Author(s): Vlaar, P.C.G.
Published in: Issue 1, 2023
Publisher: University of Amsterdam

Simulation and dynamics of entanglement and quantum information in strongly correlated systems

Author(s): Arias Espinoza, J.D.
Published in: Issue 1, 2024
Publisher: University of Amsterdam

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