Machine learning quantum dynamics

Project Information

mlQuDyn

Grant agreement ID: 853443

DOI 10.3030/853443

EC signature date 15 October 2019

Start date 1 January 2020

End date 30 June 2025

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost € 1 491 489,00

EU contribution € 1 491 489,00

Coordinated by

UNIVERSITAET AUGSBURG
Germany

Publications

Peer reviewed articles (31)

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

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

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

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

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

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

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

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

Other (16)

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

Spectral response of disorder-free localized lattice gauge theories

Author(s): Nilotpal Chakraborty, Markus Heyl, Petr Karpov, Roderich Moessner
Published in: 2022
Publisher: arXiv
DOI: 10.48550/arxiv.2211.14328

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: 2023
Publisher: arXiv
DOI: 10.48550/arxiv.2301.13216

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

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

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

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

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

Adaptive Trotterization for time-dependent Hamiltonian quantum dynamics using instantaneous conservation laws

Author(s): Hongzheng Zhao, Marin Bukov, Markus Heyl, Roderich Moessner
Published in: 2023
Publisher: arXiv
DOI: 10.48550/arxiv.2307.10327

Vortex loop dynamics and dynamical quantum phase transitions in 3D fermion matter

Author(s): Arkadiusz Kosior, Markus Heyl
Published in: 2023
Publisher: arXiv
DOI: 10.48550/arxiv.2307.02985

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

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

Identifying quantum many-body integrability and chaos using eigenstates trace distances

Author(s): Reyhaneh Khasseh, Jiaju Zhang, Markus Heyl, M. A. Rajabpour
Published in: 2023
Publisher: arXiv
DOI: 10.48550/arxiv.2301.13218

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

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

Quantum hard disks on a lattice

Author(s): Naik, Vighnesh Dattatraya; Trigueros, Fabian Ballar; Heyl, Markus
Published in: 2023
Publisher: arXiv
DOI: 10.48550/arxiv.2311.16240