Machine learning quantum dynamics

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

Real-time dynamics of one-dimensional and two-dimensional bosonic quantum matter deep in the many-body localized phase

Author(s): Sun Woo Kim; Giuseppe De Tomasi; Markus Heyl
Published in: Physical Review B, Issue 1, 2021, ISSN 1098-0121
Publisher: American Physical Society
DOI: 10.1103/physrevb.104.144205

Spectral Response of Disorder-Free Localized Lattice Gauge Theories

Author(s): Nilotpal Chakraborty, Markus Heyl, Petr Karpov, Roderich Moessner
Published in: Physical Review Letters, 2023, Page(s) 220402, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/physrevlett.131.220402

Roughening Dynamics of Interfaces in the Two-Dimensional Quantum Ising Model

Author(s): Wladislaw Krinitsin, Niklas Tausendpfund, Matteo Rizzi, Markus Heyl, Markus Schmitt
Published in: Physical Review Letters, Issue 134, 2025, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/9bsk-x9rw

Wave-Function Network Description and Kolmogorov Complexity of Quantum Many-Body Systems

Author(s): Tiago Mendes-Santos, Markus Schmitt, Adriano Angelone, Alex Rodriguez, Pascal Scholl, Hanna J. Williams, Daniel Barredo, Thierry Lahaye, Antoine Browaeys, Markus Heyl, Marcello Dalmonte
Published in: Physical Review X, 2024, Page(s) 021029, ISSN 2160-3308
Publisher: American Physical Society
DOI: 10.1103/physrevx.14.021029

Simplicity of mean-field theories in neural quantum states

Author(s): Fabian Ballar Trigueros, Tiago Mendes-Santos, Markus Heyl
Published in: Physical Review Research, Issue 6, 2024, Page(s) 023261, ISSN 1539-3755
Publisher: American Physical Society
DOI: 10.1103/physrevresearch.6.023261

Quantum Many-Body Dynamics in Two Dimensions with Artificial Neural Networks

Author(s): Markus Schmitt, Markus Heyl
Published in: Physical Review Letters, Issue 125/10, 2020, Page(s) 100503, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/physrevlett.125.100503

Local measures of dynamical quantum phase transitions

Author(s): Jad C. Halimeh; Daniele Trapin; Maarten Van Damme; Markus Heyl
Published in: Physica Review B, 2021, ISSN 1098-0121
Publisher: American Physical Society
DOI: 10.1103/physrevb.104.075130

Subsystem evolution speed as indicator of relaxation

Author(s): Jiaju Zhang, M. A. Rajabpour, Markus Heyl, Reyhaneh Khasseh
Published in: Physical Review B, Issue 111, 2025, ISSN 2469-9950
Publisher: American Physical Society (APS)
DOI: 10.1103/physrevb.111.l140410

Geometrical quench and dynamical quantum phase transition in the α − T 3 lattice

Author(s): Balázs Gulácsi, Markus Heyl, Balázs Dóra
Published in: Physical Review B, Issue 101/20, 2020, Page(s) 043036, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/physrevb.101.205135

Reinforcement Learning for Digital Quantum Simulation.

Author(s): Adrien Bolens; Markus Heyl
Published in: Physical Review Letters, Issue 1, 2021, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/physrevlett.127.110502

Quantum phase transition dynamics in the two-dimensional transverse-field Ising model

Author(s): Markus Schmitt, Marek M. Rams, Jacek Dziarmaga, Markus Heyl, Wojciech H. Zurek
Published in: Science Advances, Issue 8, 2022, Page(s) eabl6850, ISSN 2375-2548
Publisher: AAAS
DOI: 10.1126/sciadv.abl6850

Quantum chaos and ensemble inequivalence of quantum long-range Ising chains

Author(s): Angelo Russomanno; Michele Fava; Markus Heyl
Published in: Physical Review B, Issue 1, 2021, ISSN 1098-0121
Publisher: American Physical Society
DOI: 10.1103/physrevb.104.094309

Kaleidoscope of phases tuned by global dipole orientations in the Hubbard model

Author(s): Tiago Mendes-Santos; Rubem Mondaini; Thereza Paiva; Raimundo R. dos Santos
Published in: Physical Review B, 2023, Page(s) 205128, ISSN 0556-2805
Publisher: American Physical Society
DOI: 10.1103/physrevb.108.205128

Anomalous relaxation of density waves in a ring-exchange system

Author(s): Pranay Patil, Markus Heyl, Fabien Alet
Published in: Physical Review E, Issue 107, 2023, Page(s) 034119, ISSN 2643-1564
Publisher: American Physical Society
DOI: 10.1103/physreve.107.034119

Empowering deep neural quantum states through efficient optimization

Author(s): Ao Chen, Markus Heyl
Published in: Nature Physics, Issue 20, 2024, Page(s) 1476-1481, ISSN 1745-2473
Publisher: Nature Publishing Group
DOI: 10.1038/s41567-024-02566-1

Variational classical networks for dynamics in interacting quantum matter

Author(s): Roberto Verdel, Markus Schmitt, Yi-Ping Huang, Petr Karpov, Markus Heyl
Published in: Physical Review B, Issue 103/16, 2021, Page(s) 165103, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/physrevb.103.165103

Subdiffusive dynamics and critical quantum correlations in a disorder-free localized Kitaev honeycomb model out of equilibrium

Author(s): Guo-Yi Zhu; Markus Heyl
Published in: Physical Review Research, Issue 1, 2021, ISSN 2643-1564
Publisher: American Physical Society
DOI: 10.1103/physrevresearch.3.l032069

Signatures of quantum phase transitions after quenches in quantum chaotic one-dimensional systems

Author(s): Asmi Haldar; Asmi Haldar; Krishnanand Mallayya; Krishnanand Mallayya; Markus Heyl; Frank Pollmann; Marcos Rigol; Arnab Das
Published in: Physical Review X, 2021, ISSN 2160-3308
Publisher: American Physical Society
DOI: 10.1103/physrevx.11.031062

Making Trotterization Adaptive and Energy-Self-Correcting for NISQ Devices and Beyond

Author(s): Hongzheng Zhao, Marin Bukov, Markus Heyl, Roderich Moessner
Published in: Physical Review X Quantum, Issue 4, 2023, Page(s) 030319, ISSN 2691-3399
Publisher: American Physical Society
DOI: 10.1103/prxquantum.4.030319

Adaptive Trotterization for Time-Dependent Hamiltonian Quantum Dynamics Using Piecewise Conservation Laws

Author(s): Hongzheng Zhao, Marin Bukov, Markus Heyl, Roderich Moessner
Published in: Physical Review Letters, Issue 133, 2025, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/physrevlett.133.010603

Characterizing dynamical criticality of many-body localization transitions from a Fock-space perspective

Author(s): Zheng-Hang Sun, Yong-Yi Wang, Jian Cui, Heng Fan, Markus Heyl
Published in: Physical Review B, Issue 111, 2025, ISSN 2469-9950
Publisher: American Physical Society (APS)
DOI: 10.1103/physrevb.111.094210

Unitary Long-Time Evolution with Quantum Renormalization Groups and Artificial Neural Networks

Author(s): Heiko Burau, Markus Heyl
Published in: Physical Review Letters, Issue 127/5, 2021, Page(s) 050601, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/physrevlett.127.050601

Non-Hermitian Kibble-Zurek Mechanism with Tunable Complexity in Single-Photon Interferometry

Author(s): Lei Xiao, Dengke Qu, Kunkun Wang, Hao-Wei Li, Jin-Yu Dai, Balázs Dóra, Markus Heyl, Roderich Moessner, Wei Yi, Peng Xue
Published in: PRX Quantum, Issue 2/2, 2021, Page(s) 020313, ISSN 2691-3399
Publisher: American Physical Society
DOI: 10.1103/prxquantum.2.020313

Quantum entanglement recognition

Author(s): Jun Yong Khoo; Jun Yong Khoo; Markus Heyl
Published in: Physical Review Research, Issue 1, 2021, ISSN 2643-1564
Publisher: American Physical Society
DOI: 10.1103/physrevresearch.3.033135

Discrete truncated Wigner approach to dynamical phase transitions in Ising models after a quantum quench

Author(s): Reyhaneh Khasseh, Angelo Russomanno, Markus Schmitt, Markus Heyl, Rosario Fazio
Published in: Physical Review B, Issue 102/1, 2020, Page(s) 014303, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/physrevb.102.014303

Vortex loop dynamics and dynamical quantum phase transitions in three-dimensional fermion matter

Author(s): Arkadiusz Kosior, Markus Heyl
Published in: Physical Review B, 2024, Page(s) L140303, ISSN 1098-0121
Publisher: American Physical Society
DOI: 10.1103/physrevb.109.l140303

Quantum Fisher information measurement and verification of the quantum Cramér–Rao bound in a solid-state qubit

Author(s): Min Yu, Yu Liu, Pengcheng Yang, Musang Gong, Qingyun Cao, Shaoliang Zhang, Haibin Liu, Markus Heyl, Tomoki Ozawa, Nathan Goldman & Jianming Cai
Published in: npj Quantum Information, Issue 8, 2022, Page(s) 56, ISSN 2056-6387
Publisher: Nature Publishing Group
DOI: 10.1038/s41534-022-00547-x

Spatiotemporal heterogeneity of entanglement in many-body localized systems

Author(s): Claudia Artiaco, Federico Balducci, Markus Heyl, Angelo Russomanno, Antonello Scardicchio
Published in: Physical Review B, Issue 105, 2022, Page(s) 184202, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.48550/arxiv.2108.05594

Unconventional critical exponents at dynamical quantum phase transitions in a random Ising chain

Author(s): Daniele Trapin; Jad C. Halimeh; Markus Heyl
Published in: Physical Review B, 2021, ISSN 1098-0121
Publisher: American Physical Society
DOI: 10.1103/physrevb.104.115159

Identifying Quantum Many-Body Integrability and Chaos Using Eigenstate Trace Distances

Author(s): Reyhaneh Khasseh, Jiaju Zhang, Markus Heyl, M. A. Rajabpour
Published in: Physical Review Letters, 2023, Page(s) 216701, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/physrevlett.131.216701

Finite-temperature critical behavior of long-range quantum Ising models

Author(s): Eduardo Gonzalez Lazo; Eduardo Gonzalez Lazo; Markus Heyl; Marcello Dalmonte; Marcello Dalmonte; Adriano Angelone; Adriano Angelone; Adriano Angelone
Published in: SciPost Physics Core, Issue 5, 2021, ISSN 2542-4653
Publisher: Scipost
DOI: 10.21468/scipostphys.11.4.076

Dynamical Localization Transition of String Breaking in Quantum Spin Chains

Author(s): Roberto Verdel; Guo-Yi Zhu; Markus Heyl
Published in: Physical Review Letters, 2023, Page(s) 230402, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/physrevlett.131.230402

Disorder-free localization transition in a two-dimensional lattice gauge theory

Author(s): Nilotpal Chakraborty, Markus Heyl, Petr Karpov, Roderich Moessner
Published in: Physical Review B, Issue 106, 2022, Page(s) L060308, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/physrevb.106.l060308

Disorder-Free Localization in an Interacting 2D Lattice Gauge Theory

Author(s): P. Karpov, R. Verdel, Y.-P. Huang, M. Schmitt, M. Heyl
Published in: Physical Review Letters, Issue 126/13, 2021, Page(s) 130401, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/physrevlett.126.130401

Topological Kolmogorov complexity and the Berezinskii-Kosterlitz-Thouless mechanism

Author(s): Vittorio Vitale; Tiago Mendes-Santos; Alex Rodriguez; Marcello Dalmonte
Published in: Physical Review E, 2024, ISSN 1063-651X
Publisher: American Physical Society
DOI: 10.1103/physreve.109.034102

Real-time dynamics of string breaking in quantum spin chains

Author(s): Roberto Verdel, Fangli Liu, Seth Whitsitt, Alexey V. Gorshkov, Markus Heyl
Published in: Physical Review B, Issue 102/1, 2020, Page(s) 014308, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/physrevb.102.014308

Fate of Algebraic Many-Body Localization under driving

Author(s): Heiko Burau; Markus Heyl; Giuseppe De Tomasi
Published in: Physical Review B, 2021, ISSN 1098-0121
Publisher: American Physical Society
DOI: 10.1103/physrevb.104.224201

Highly Resolved Spectral Functions of Two-Dimensional Systems with Neural Quantum States

Author(s): Tiago Mendes-Santos, Markus Schmitt, and Markus Heyl
Published in: Physical Review Letters, Issue 131, 2023, Page(s) 046501, ISSN 1079-7114
Publisher: American Physical Society
DOI: 10.1103/physrevlett.131.046501

Spatiotemporal dynamics of particle collisions in quantum spin chains

Author(s): Karpov, P. I.; Zhu, G. -Y.; Heller, M. P.; Heyl, M.
Published in: Physical Review Research, Issue 4, 2020, Page(s) L032001, ISSN 2643-1564
Publisher: American Physical Society
DOI: 10.1103/physrevresearch.4.l032001

Quantum hard disks on a lattice

Author(s): Vighnesh Dattatraya Naik, Fabian Ballar Trigueros, Markus Heyl
Published in: Physical Review B, Issue 110, 2024, ISSN 2469-9950
Publisher: American Physical Society (APS)
DOI: 10.1103/physrevb.110.l220303

Nonlinear entanglement growth in inhomogeneous space-times

Author(s): Arkadiusz Kosior, Markus Heyl
Published in: Physical Review Research, Issue 2/4, 2020, Page(s) 043036, ISSN 2643-1564
Publisher: American Physical Society
DOI: 10.1103/physrevresearch.2.043036

Mean-field theories are simple for neural quantum states

Author(s): Fabian Ballar Trigueros, Tiago Mendes-Santos, Markus Heyl
Published in: Zenodo, 2023
Publisher: Organisation Européenne pour la Recherche Nucléaire
DOI: 10.5281/zenodo.8252947

Convolutional transformer wave functions

Author(s): Ao Chen, Vighnesh Dattatraya Naik, Markus Heyl
Published in: arXiv, 2025, Page(s) 2503.10462
Publisher: arXiv
DOI: 10.48550/arxiv.2503.10462

Fractional diffusion without disorder in two dimensions

Author(s): Nilotpal Chakraborty, Markus Heyl, Roderich Moessner
Published in: arXiv, 2025, Page(s) 2504.00074
Publisher: arXiv
DOI: 10.48550/arxiv.2504.00074

Dynamical localization transition of string breaking in quantum spin chains: data

Author(s): Verdel, Roberto; Zhu, Guo-Yi; Heyl, Markus
Published in: Zenodo, 2023
Publisher: Organisation Européenne pour la Recherche Nucléaire
DOI: 10.5281/zenodo.7861807

Probing prethermal nonergodicity through measurement outcomes of monitored quantum dynamics

Author(s): Zheng-Hang Sun, Fabian Ballar Trigueros, Qicheng Tang, Markus Heyl
Published in: arXiv, 2025, Page(s) 2503.11782
Publisher: arXiv
DOI: 10.48550/arxiv.2503.11782

Active quantum flocks

Author(s): Reyhaneh Khasseh, Sascha Wald, Roderich Moessner, Christoph A. Weber, Markus Heyl
Published in: 2023
Publisher: arXiv
DOI: 10.48550/arxiv.2308.01603

Empowering deep neural quantum states through efficient optimization

Author(s): Chen, Ao; Heyl, Markus
Published in: Zenodo, 2024
Publisher: Organisation Européenne pour la Recherche Nucléaire
DOI: 10.5281/zenodo.11082907

Many-body cages: disorder-free glassiness from flat bands in Fock space, and many-body Rabi oscillations

Author(s): Tom Ben-Ami, Markus Heyl, Roderich Moessner
Published in: 2025, Page(s) 2504.13086
Publisher: arXiv
DOI: 10.48550/arxiv.2504.13086

Dynamics of defects and interfaces for interacting quantum hard disks

Author(s): Fabian Ballar Trigueros, Vighnesh Dattatraya Naik, Markus Heyl
Published in: arXiv, 2025, Page(s) 2503.13664
Publisher: arXiv
DOI: 10.48550/arxiv.2503.13664

Quantum Chaos and Trotterisation Thresholds in Digital Quantum Simulations

Author(s): Cahit Kargi, Juan Pablo Dehollain, Fabio Henriques, Lukas M. Sieberer, Tobias Olsacher, Philipp Hauke, Markus Heyl, Peter Zoller, Nathan K. Langford
Published in: 2021
Publisher: arXiv
DOI: 10.48550/arxiv.2110.11113

Active quantum flocks

Author(s): Reyhaneh Khasseh, Sascha Wald, Roderich Moessner, Christoph A. Weber, Markus Heyl
Published in: Zenodo, 2023
Publisher: Organisation Européenne pour la Recherche Nucléaire
DOI: 10.5281/zenodo.8208685

Simulating dynamics of correlated matter with neural quantum states

Author(s): Markus Schmitt, Markus Heyl
Published in: arXiv, 2025, Page(s) 2506.03124
Publisher: arXiv
DOI: 10.48550/arxiv.2506.03124

Efficient Optimization of Deep Neural Quantum States Toward Machine Precision

Author(s): Ao Chen, Markus Heyl
Published in: 2023
Publisher: arXiv
DOI: 10.48550/arxiv.2302.01941

Characterizing dynamical criticality of many-body localization transitions from the Fock-space perspective

Author(s): Zheng-Hang Sun, Yong-Yi Wang, Jian Cui, Heng Fan, Markus Heyl
Published in: 2024
Publisher: arXiv
DOI: 10.48550/arxiv.2405.18188

Time evolution of the quantum Ising model in two dimensions using Tree Tensor Networks

Author(s): Wladislaw Krinitsin, Niklas Tausendpfund, Markus Heyl, Matteo Rizzi, Markus Schmitt
Published in: arXiv, 2025, Page(s) 2505.07612
Publisher: arXiv
DOI: 10.48550/arxiv.2505.07612

Highly resolved spectral functions of two-dimensional systems with neural quantum states: data

Author(s): Tiago Mendes-Santos; Markus Schmitt; Markus Heyl
Published in: Zenodo, 2023
Publisher: Organisation Européenne pour la Recherche Nucléaire
DOI: 10.5281/zenodo.7766984

Probing quantum many-body dynamics using subsystem Loschmidt echos

Author(s): Simon Karch, Souvik Bandyopadhyay, Zheng-Hang Sun, Alexander Impertro, SeungJung Huh, Irene Prieto Rodríguez, Julian F. Wienand, Wolfgang Ketterle, Markus Heyl, Anatoli Polkovnikov, Immanuel Bloch, Monika Aidelsburger
Published in: arXiv, 2025, Page(s) 2501.16995
Publisher: arXiv
DOI: 10.48550/arxiv.2501.16995

Quantum computing and artificial intelligence: status and perspectives

Author(s): Giovanni Acampora, Andris Ambainis, Natalia Ares, Leonardo Banchi, Pallavi Bhardwaj, Daniele Binosi, G. Andrew D. Briggs, Tommaso Calarco, Vedran Dunjko, Jens Eisert, Olivier Ezratty, Paul Erker, Federico Fedele, Elies Gil-Fuster, Martin Gärttner, Mats Granath, Markus Heyl, Iordanis Kerenidis, Matthias Klusch, Anton Frisk Kockum, Richard Kueng, Mario Krenn, Jörg Lässig, Antonio Macaluso, Sabrin
Published in: arXiv, 2025, Page(s) 2505.23860
Publisher: arXiv
DOI: 10.48550/arxiv.2505.23860

Efficient optimization of deep neural quantum states toward machine precision: data and code

Author(s): Chen, Ao; Heyl, Markus
Published in: Zenodo, 2023
Publisher: Organisation Européenne pour la Recherche Nucléaire
DOI: 10.5281/zenodo.7657552

Searching for OpenAIRE data...

Publications

Share this page Share this page on social networks

Download Download the content of the page