Machine learning quantum dynamics

Información del proyecto

mlQuDyn

Identificador del acuerdo de subvención: 853443

DOI

10.3030/853443

Proyecto cerrado

Fecha de la firma de la CE 15 Octubre 2019

Fecha de inicio 1 Enero 2020

Fecha de finalización 30 Junio 2025

Financiado con arreglo a

• EXCELLENT SCIENCE - European Research Council (ERC)

Coste total

€ 1 491 489,00

Aportación de la UE

€ 1 491 489,00

Coordinado por

UNIVERSITAET AUGSBURG
Germany

CORDIS proporciona enlaces a los documentos públicos y las publicaciones de los proyectos de los programas marco HORIZONTE.

Los enlaces a los documentos y las publicaciones de los proyectos del Séptimo Programa Marco, así como los enlaces a algunos tipos de resultados específicos, como conjuntos de datos y «software», se obtienen dinámicamente de OpenAIRE .

Publicaciones

Peer reviewed articles (41)

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

Autores: Sun Woo Kim; Giuseppe De Tomasi; Markus Heyl
Publicado en: Physical Review B, Edición 1, 2021, ISSN 1098-0121
Editor: American Physical Society
DOI: 10.1103/physrevb.104.144205

Spectral Response of Disorder-Free Localized Lattice Gauge Theories

Autores: Nilotpal Chakraborty, Markus Heyl, Petr Karpov, Roderich Moessner
Publicado en: Physical Review Letters, 2023, Página(s) 220402, ISSN 0031-9007
Editor: American Physical Society
DOI: 10.1103/physrevlett.131.220402

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

Autores: Wladislaw Krinitsin, Niklas Tausendpfund, Matteo Rizzi, Markus Heyl, Markus Schmitt
Publicado en: Physical Review Letters, Edición 134, 2025, ISSN 0031-9007
Editor: American Physical Society
DOI: 10.1103/9bsk-x9rw

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

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

Simplicity of mean-field theories in neural quantum states

Autores: Fabian Ballar Trigueros, Tiago Mendes-Santos, Markus Heyl
Publicado en: Physical Review Research, Edición 6, 2024, Página(s) 023261, ISSN 1539-3755
Editor: American Physical Society
DOI: 10.1103/physrevresearch.6.023261

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

Autores: Markus Schmitt, Markus Heyl
Publicado en: Physical Review Letters, Edición 125/10, 2020, Página(s) 100503, ISSN 0031-9007
Editor: American Physical Society
DOI: 10.1103/physrevlett.125.100503

Local measures of dynamical quantum phase transitions

Autores: Jad C. Halimeh; Daniele Trapin; Maarten Van Damme; Markus Heyl
Publicado en: Physica Review B, 2021, ISSN 1098-0121
Editor: American Physical Society
DOI: 10.1103/physrevb.104.075130

Subsystem evolution speed as indicator of relaxation

Autores: Jiaju Zhang, M. A. Rajabpour, Markus Heyl, Reyhaneh Khasseh
Publicado en: Physical Review B, Edición 111, 2025, ISSN 2469-9950
Editor: American Physical Society (APS)
DOI: 10.1103/physrevb.111.l140410

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

Autores: Balázs Gulácsi, Markus Heyl, Balázs Dóra
Publicado en: Physical Review B, Edición 101/20, 2020, Página(s) 043036, ISSN 2469-9950
Editor: American Physical Society
DOI: 10.1103/physrevb.101.205135

Reinforcement Learning for Digital Quantum Simulation.

Autores: Adrien Bolens; Markus Heyl
Publicado en: Physical Review Letters, Edición 1, 2021, ISSN 0031-9007
Editor: American Physical Society
DOI: 10.1103/physrevlett.127.110502

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

Autores: Markus Schmitt, Marek M. Rams, Jacek Dziarmaga, Markus Heyl, Wojciech H. Zurek
Publicado en: Science Advances, Edición 8, 2022, Página(s) eabl6850, ISSN 2375-2548
Editor: AAAS
DOI: 10.1126/sciadv.abl6850

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

Autores: Angelo Russomanno; Michele Fava; Markus Heyl
Publicado en: Physical Review B, Edición 1, 2021, ISSN 1098-0121
Editor: American Physical Society
DOI: 10.1103/physrevb.104.094309

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

Autores: Tiago Mendes-Santos; Rubem Mondaini; Thereza Paiva; Raimundo R. dos Santos
Publicado en: Physical Review B, 2023, Página(s) 205128, ISSN 0556-2805
Editor: American Physical Society
DOI: 10.1103/physrevb.108.205128

Anomalous relaxation of density waves in a ring-exchange system

Autores: Pranay Patil, Markus Heyl, Fabien Alet
Publicado en: Physical Review E, Edición 107, 2023, Página(s) 034119, ISSN 2643-1564
Editor: American Physical Society
DOI: 10.1103/physreve.107.034119

Empowering deep neural quantum states through efficient optimization

Autores: Ao Chen, Markus Heyl
Publicado en: Nature Physics, Edición 20, 2024, Página(s) 1476-1481, ISSN 1745-2473
Editor: Nature Publishing Group
DOI: 10.1038/s41567-024-02566-1

Variational classical networks for dynamics in interacting quantum matter

Autores: Roberto Verdel, Markus Schmitt, Yi-Ping Huang, Petr Karpov, Markus Heyl
Publicado en: Physical Review B, Edición 103/16, 2021, Página(s) 165103, ISSN 2469-9950
Editor: 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

Autores: Guo-Yi Zhu; Markus Heyl
Publicado en: Physical Review Research, Edición 1, 2021, ISSN 2643-1564
Editor: American Physical Society
DOI: 10.1103/physrevresearch.3.l032069

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

Autores: Asmi Haldar; Asmi Haldar; Krishnanand Mallayya; Krishnanand Mallayya; Markus Heyl; Frank Pollmann; Marcos Rigol; Arnab Das
Publicado en: Physical Review X, 2021, ISSN 2160-3308
Editor: American Physical Society
DOI: 10.1103/physrevx.11.031062

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

Autores: Hongzheng Zhao, Marin Bukov, Markus Heyl, Roderich Moessner
Publicado en: Physical Review X Quantum, Edición 4, 2023, Página(s) 030319, ISSN 2691-3399
Editor: American Physical Society
DOI: 10.1103/prxquantum.4.030319

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

Autores: Hongzheng Zhao, Marin Bukov, Markus Heyl, Roderich Moessner
Publicado en: Physical Review Letters, Edición 133, 2025, ISSN 0031-9007
Editor: American Physical Society
DOI: 10.1103/physrevlett.133.010603

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

Autores: Zheng-Hang Sun, Yong-Yi Wang, Jian Cui, Heng Fan, Markus Heyl
Publicado en: Physical Review B, Edición 111, 2025, ISSN 2469-9950
Editor: American Physical Society (APS)
DOI: 10.1103/physrevb.111.094210

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

Autores: Heiko Burau, Markus Heyl
Publicado en: Physical Review Letters, Edición 127/5, 2021, Página(s) 050601, ISSN 0031-9007
Editor: American Physical Society
DOI: 10.1103/physrevlett.127.050601

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

Autores: Lei Xiao, Dengke Qu, Kunkun Wang, Hao-Wei Li, Jin-Yu Dai, Balázs Dóra, Markus Heyl, Roderich Moessner, Wei Yi, Peng Xue
Publicado en: PRX Quantum, Edición 2/2, 2021, Página(s) 020313, ISSN 2691-3399
Editor: American Physical Society
DOI: 10.1103/prxquantum.2.020313

Quantum entanglement recognition

Autores: Jun Yong Khoo; Jun Yong Khoo; Markus Heyl
Publicado en: Physical Review Research, Edición 1, 2021, ISSN 2643-1564
Editor: American Physical Society
DOI: 10.1103/physrevresearch.3.033135

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

Autores: Reyhaneh Khasseh, Angelo Russomanno, Markus Schmitt, Markus Heyl, Rosario Fazio
Publicado en: Physical Review B, Edición 102/1, 2020, Página(s) 014303, ISSN 2469-9950
Editor: American Physical Society
DOI: 10.1103/physrevb.102.014303

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

Autores: Arkadiusz Kosior, Markus Heyl
Publicado en: Physical Review B, 2024, Página(s) L140303, ISSN 1098-0121
Editor: 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

Autores: Min Yu, Yu Liu, Pengcheng Yang, Musang Gong, Qingyun Cao, Shaoliang Zhang, Haibin Liu, Markus Heyl, Tomoki Ozawa, Nathan Goldman & Jianming Cai
Publicado en: npj Quantum Information, Edición 8, 2022, Página(s) 56, ISSN 2056-6387
Editor: Nature Publishing Group
DOI: 10.1038/s41534-022-00547-x

Spatiotemporal heterogeneity of entanglement in many-body localized systems

Autores: Claudia Artiaco, Federico Balducci, Markus Heyl, Angelo Russomanno, Antonello Scardicchio
Publicado en: Physical Review B, Edición 105, 2022, Página(s) 184202, ISSN 2469-9950
Editor: American Physical Society
DOI: 10.48550/arxiv.2108.05594

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

Autores: Daniele Trapin; Jad C. Halimeh; Markus Heyl
Publicado en: Physical Review B, 2021, ISSN 1098-0121
Editor: American Physical Society
DOI: 10.1103/physrevb.104.115159

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

Autores: Reyhaneh Khasseh, Jiaju Zhang, Markus Heyl, M. A. Rajabpour
Publicado en: Physical Review Letters, 2023, Página(s) 216701, ISSN 0031-9007
Editor: American Physical Society
DOI: 10.1103/physrevlett.131.216701

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

Autores: Eduardo Gonzalez Lazo; Eduardo Gonzalez Lazo; Markus Heyl; Marcello Dalmonte; Marcello Dalmonte; Adriano Angelone; Adriano Angelone; Adriano Angelone
Publicado en: SciPost Physics Core, Edición 5, 2021, ISSN 2542-4653
Editor: Scipost
DOI: 10.21468/scipostphys.11.4.076

Dynamical Localization Transition of String Breaking in Quantum Spin Chains

Autores: Roberto Verdel; Guo-Yi Zhu; Markus Heyl
Publicado en: Physical Review Letters, 2023, Página(s) 230402, ISSN 0031-9007
Editor: American Physical Society
DOI: 10.1103/physrevlett.131.230402

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

Autores: Nilotpal Chakraborty, Markus Heyl, Petr Karpov, Roderich Moessner
Publicado en: Physical Review B, Edición 106, 2022, Página(s) L060308, ISSN 2469-9950
Editor: American Physical Society
DOI: 10.1103/physrevb.106.l060308

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

Autores: P. Karpov, R. Verdel, Y.-P. Huang, M. Schmitt, M. Heyl
Publicado en: Physical Review Letters, Edición 126/13, 2021, Página(s) 130401, ISSN 0031-9007
Editor: American Physical Society
DOI: 10.1103/physrevlett.126.130401

Topological Kolmogorov complexity and the Berezinskii-Kosterlitz-Thouless mechanism

Autores: Vittorio Vitale; Tiago Mendes-Santos; Alex Rodriguez; Marcello Dalmonte
Publicado en: Physical Review E, 2024, ISSN 1063-651X
Editor: American Physical Society
DOI: 10.1103/physreve.109.034102

Real-time dynamics of string breaking in quantum spin chains

Autores: Roberto Verdel, Fangli Liu, Seth Whitsitt, Alexey V. Gorshkov, Markus Heyl
Publicado en: Physical Review B, Edición 102/1, 2020, Página(s) 014308, ISSN 2469-9950
Editor: American Physical Society
DOI: 10.1103/physrevb.102.014308

Fate of Algebraic Many-Body Localization under driving

Autores: Heiko Burau; Markus Heyl; Giuseppe De Tomasi
Publicado en: Physical Review B, 2021, ISSN 1098-0121
Editor: American Physical Society
DOI: 10.1103/physrevb.104.224201

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

Autores: Tiago Mendes-Santos, Markus Schmitt, and Markus Heyl
Publicado en: Physical Review Letters, Edición 131, 2023, Página(s) 046501, ISSN 1079-7114
Editor: American Physical Society
DOI: 10.1103/physrevlett.131.046501

Spatiotemporal dynamics of particle collisions in quantum spin chains

Autores: Karpov, P. I.; Zhu, G. -Y.; Heller, M. P.; Heyl, M.
Publicado en: Physical Review Research, Edición 4, 2020, Página(s) L032001, ISSN 2643-1564
Editor: American Physical Society
DOI: 10.1103/physrevresearch.4.l032001

Quantum hard disks on a lattice

Autores: Vighnesh Dattatraya Naik, Fabian Ballar Trigueros, Markus Heyl
Publicado en: Physical Review B, Edición 110, 2024, ISSN 2469-9950
Editor: American Physical Society (APS)
DOI: 10.1103/physrevb.110.l220303

Nonlinear entanglement growth in inhomogeneous space-times

Autores: Arkadiusz Kosior, Markus Heyl
Publicado en: Physical Review Research, Edición 2/4, 2020, Página(s) 043036, ISSN 2643-1564
Editor: American Physical Society
DOI: 10.1103/physrevresearch.2.043036

Other (19)

Mean-field theories are simple for neural quantum states

Autores: Fabian Ballar Trigueros, Tiago Mendes-Santos, Markus Heyl
Publicado en: Zenodo, 2023
Editor: Organisation Européenne pour la Recherche Nucléaire
DOI: 10.5281/zenodo.8252947

Convolutional transformer wave functions

Autores: Ao Chen, Vighnesh Dattatraya Naik, Markus Heyl
Publicado en: arXiv, 2025, Página(s) 2503.10462
Editor: arXiv
DOI: 10.48550/arxiv.2503.10462

Fractional diffusion without disorder in two dimensions

Autores: Nilotpal Chakraborty, Markus Heyl, Roderich Moessner
Publicado en: arXiv, 2025, Página(s) 2504.00074
Editor: arXiv
DOI: 10.48550/arxiv.2504.00074

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

Autores: Verdel, Roberto; Zhu, Guo-Yi; Heyl, Markus
Publicado en: Zenodo, 2023
Editor: Organisation Européenne pour la Recherche Nucléaire
DOI: 10.5281/zenodo.7861807

Probing prethermal nonergodicity through measurement outcomes of monitored quantum dynamics

Autores: Zheng-Hang Sun, Fabian Ballar Trigueros, Qicheng Tang, Markus Heyl
Publicado en: arXiv, 2025, Página(s) 2503.11782
Editor: arXiv
DOI: 10.48550/arxiv.2503.11782

Active quantum flocks

Autores: Reyhaneh Khasseh, Sascha Wald, Roderich Moessner, Christoph A. Weber, Markus Heyl
Publicado en: 2023
Editor: arXiv
DOI: 10.48550/arxiv.2308.01603

Empowering deep neural quantum states through efficient optimization

Autores: Chen, Ao; Heyl, Markus
Publicado en: Zenodo, 2024
Editor: 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

Autores: Tom Ben-Ami, Markus Heyl, Roderich Moessner
Publicado en: 2025, Página(s) 2504.13086
Editor: arXiv
DOI: 10.48550/arxiv.2504.13086

Dynamics of defects and interfaces for interacting quantum hard disks

Autores: Fabian Ballar Trigueros, Vighnesh Dattatraya Naik, Markus Heyl
Publicado en: arXiv, 2025, Página(s) 2503.13664
Editor: arXiv
DOI: 10.48550/arxiv.2503.13664

Quantum Chaos and Trotterisation Thresholds in Digital Quantum Simulations

Autores: Cahit Kargi, Juan Pablo Dehollain, Fabio Henriques, Lukas M. Sieberer, Tobias Olsacher, Philipp Hauke, Markus Heyl, Peter Zoller, Nathan K. Langford
Publicado en: 2021
Editor: arXiv
DOI: 10.48550/arxiv.2110.11113

Active quantum flocks

Autores: Reyhaneh Khasseh, Sascha Wald, Roderich Moessner, Christoph A. Weber, Markus Heyl
Publicado en: Zenodo, 2023
Editor: Organisation Européenne pour la Recherche Nucléaire
DOI: 10.5281/zenodo.8208685

Simulating dynamics of correlated matter with neural quantum states

Autores: Markus Schmitt, Markus Heyl
Publicado en: arXiv, 2025, Página(s) 2506.03124
Editor: arXiv
DOI: 10.48550/arxiv.2506.03124

Efficient Optimization of Deep Neural Quantum States Toward Machine Precision

Autores: Ao Chen, Markus Heyl
Publicado en: 2023
Editor: arXiv
DOI: 10.48550/arxiv.2302.01941

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

Autores: Zheng-Hang Sun, Yong-Yi Wang, Jian Cui, Heng Fan, Markus Heyl
Publicado en: 2024
Editor: arXiv
DOI: 10.48550/arxiv.2405.18188

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

Autores: Wladislaw Krinitsin, Niklas Tausendpfund, Markus Heyl, Matteo Rizzi, Markus Schmitt
Publicado en: arXiv, 2025, Página(s) 2505.07612
Editor: arXiv
DOI: 10.48550/arxiv.2505.07612

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

Autores: Tiago Mendes-Santos; Markus Schmitt; Markus Heyl
Publicado en: Zenodo, 2023
Editor: Organisation Européenne pour la Recherche Nucléaire
DOI: 10.5281/zenodo.7766984

Probing quantum many-body dynamics using subsystem Loschmidt echos

Autores: 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
Publicado en: arXiv, 2025, Página(s) 2501.16995
Editor: arXiv
DOI: 10.48550/arxiv.2501.16995

Quantum computing and artificial intelligence: status and perspectives

Autores: 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
Publicado en: arXiv, 2025, Página(s) 2505.23860
Editor: arXiv
DOI: 10.48550/arxiv.2505.23860

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

Autores: Chen, Ao; Heyl, Markus
Publicado en: Zenodo, 2023
Editor: Organisation Européenne pour la Recherche Nucléaire
DOI: 10.5281/zenodo.7657552