12. Unitary long-time evolution with quantum renormalization groups and artificial neural networks
Heiko Burau, Markus Heyl

11. Variational classical networks for dynamics in interacting quantum matter
Roberto Verdel, Markus Schmitt, Yi-Ping Huang, Petr Karpov, Markus Heyl

10. Quantum entanglement recognition

Jun Yong Khoo, Markus Heyl

9. Reinforcement Learning for Digital Quantum Simulation
Adrien Bolens, Markus Heyl

8. Nonlinear entanglement growth in inhomogeneous spacetimes
Arkadiusz Kosior, Markus Heyl

7. Unconventional critical exponents at dynamical quantum phase transitions in a random Ising chain
Daniele Trapin, Jad C. Halimeh, Markus Heyl

6. Non-Hermitian Kibble-Zurek mechanism with tunable complexity in single-photoninterferometry
Peng Xue, Lei Xiao, Dengke Qu, Kunkun Wang, Hao-Wei Li, Jin-Yu Dai, Balazs Dora, Markus Heyl, Roderich Moessner, Wei Yi

5. Signatures of quantum phase transitions after quenches in quantum chaotic one-dimensional systems
Asmi Haldar, Krishnanand Mallayya, Markus Heyl, Frank Pollmann, Marcos Rigol, Arnab Das

4. Saturating the quantum Cramér-Rao bound and measuring the related quantum Fisher information in a nitrogen-vacancy center in diamond

Yu Liu, Min Yu, Pengcheng Yang, Musang Gong, Qingyun Cao, Shaoliang Zhang, Haibin Liu, Markus Heyl, Tomoki Ozawa, Nathan Goldman, Jianming Cai

3. Disorder-free localization in an interacting two-dimensional lattice gauge theory
P. Karpov, R. Verdel, Y. -P. Huang, M. Schmitt, M. Heyl

2. Anomalous diffusion in particle-hole symmetric many-body localized systems
Giuseppe De Tomasi, Daniele Trapin, Markus Heyl, Soumya Bera

1. Stabilizing a discrete time crystal against dissipation
Leon Droenner, Regina Finsterhölzl, Markus Heyl, Alexander Carmele


57. Quantum Many-Body Dynamics in Two Dimensions with Artificial Neural Networks
M. Schmitt, M. Heyl
Phys. Rev. Lett. 125, 100503 (2020)


56. Real-time dynamics of string breaking in quantum spin chains
Roberto Verdel, Fangli Liu, Seth Whitsitt, Alexey V. Gorshkov, Markus Heyl
Phys. Rev. B 102, 014308 (2020)


55. Discrete truncated Wigner approach to dynamical phase transitions in Ising models after a quantum quench
Reyhaneh Khasseh, Angelo Russomanno, Markus Schmitt, Markus Heyl, Rosario Fazio
Phys. Rev. B 102, 014303 (2020)

54. Geometrical quench and dynamical quantum phase transition in the $\alpha-T_3$ lattice
Balázs Gulácsi, Markus Heyl, Balázs Dóra
Phys. Rev. B 101, 205135 (2020)

53. Measuring a Dynamical Topological Order Parameter in Quantum Walks
Xiao-Ye Xu, Qin-Qin Wang, Markus Heyl, Jan Carl Budich, Wei-Wei Pan, Zhe Chen, Munsif Jan, Kai Sun, Jin-Shi Xu, Yong-Jian Han, Chuan-Feng Li, Guang-Can Guo
arXiv: 1808.03930

Light Sci. Appl. 9, 7 (2020)


52. Homogeneous Floquet time crystal protected by gauge invariance
A. Russomanno, S. Notarnicola, F. M. Surace, R. Fazio, M. Dalmonte, M. Heyl
arXiv: 1906.03185
Phys. Rev. Res. 2, 012003 (R) (2020)


51. Quantifying and Controlling Prethermal Nonergodicity in Interacting Floquet Matter
K. Singh, K. M. Fujiwara, Z. A. Geiger, E. Q. Simmons, M. Lipatov, A. Cao, P. Dotti, S. V. Rajagopal, R. Senaratne, T. Shimasaki, M. Heyl, A. Eckardt, D. M. Weld
arXiv: 1809.05554
Phys. Rev. X 9, 041021 (2019)

50. Digital Quantum Simulation, Trotter Errors, and Quantum Chaos of the Kicked Top

Lukas M. Sieberer, Tobias Olsacher, Andreas Elben, Markus Heyl, Philipp Hauke, Fritz Haake, Peter Zoller
arXiv: 1812.05876
npj Quantum Information 5, 78 (2019)

49. Measuring complex partition function zeroes of Ising models in quantum simulators

Abijith Krishnan, Markus Schmitt, Roderich Moessner, Markus Heyl
arXiv: 1902.07155
Phys. Rev. A 100, 022125 (2019)

48. Disentangling Sources of Quantum Entanglement in Quench Dynamics
L. Pastori, M. Heyl, J. C. Budich
arXiv: 1905.05782

Phys. Rev. Research 1, 012007 (R) (2019)

47. Solving efficiently the dynamics of many-body localized systems at strong disorder

Giuseppe De Tomasi, Frank Pollmann, Markus Heyl
Phys. Rev. B 99, 241114 (R) (2019)

46. Dynamical Quantum Phase Transitions in U(1) Quantum Link Models

Yi-Ping Huang, Debasish Banerjee, Markus Heyl
arXiv: 1808.07874
Phys. Rev. Lett. 122, 250401 (2019)

Describing many-body localized systems in thermal environments
Lingna Wu, Alexander Schnell, Giuseppe De Tomasi, Markus Heyl, Andre Eckardt
arXiv: 1811.06000
New J. Phys. 21, 063026 (2019)

44. The Kibble-Zurek mechanism at exceptional points 

Balázs Dóra, Markus Heyl, Roderich Moessner
arXiv: 1812.08668
Nature Commun. 10, 2254 (2019)

43. Quantum localization bounds Trotter errors in digital quantum simulation

Markus Heyl, Philipp Hauke, Peter Zoller
arXiv: 1806.11123
Science Advances 5, eaau8342 (2019)

42. Accessing eigenstate spin-glass order from reduced density matrices

Younes Javanmard, Soumya Bera, Markus Heyl
arXiv: 1806.02571
Phys. Rev. B 99, 144201 (2019)

Dynamical quantum phase transitions in collapse and revival oscillations of a quenched superfluid
Mateusz Lacki, Markus Heyl
arXiv: 1812.02209
Phys. Rev. B 99, 121107 (R) (2019)

40. Dynamical quantum phase transitions: a brief survey

Markus Heyl
arXiv: 1811.02575
EPL 125, 26001 (2019)


39. Measuring the single-particle density matrix for fermions and hard-core bosons in an optical lattice
Luis A. Pena Ardila, Markus Heyl, Andre Eckardt
arXiv: 1806.08171
Phys. Rev. Lett. 121, 260401 (2018)

38. Sharp entanglement thresholds in the logarithmic negativity of disjoint blocks in the transverse-field Ising chain
Younes Javanmard, Daniele Trapin, Soumya Bera, Jens H. Bardarson, Markus Heyl
arXiv: 1805.06935
New J. Phys. 20, 083032 (2018)

37. Detecting equilibrium and dynamical quantum phase transitions via out-of-time-ordered correlators
M. Heyl, F. Pollmann, B. Dora
arXiv: 1801.01684
Phys. Rev. Lett. 121, 016801 (2018)

36. Dynamical potentials for non-equilibrium quantum many-body phases
S. Roy, A. Lazarides, M. Heyl, R. Moessner
arXiv: 1710.09388
Phys. Rev. B 97, 205143 (2018)

35. Constructing effective free energies for dynamical quantum phase transitions in the transverse-field Ising chain

Daniele Trapin, Markus Heyl
arXiv: 1802.00020
Phys. Rev. B 97, 174303 (2018)

34. Dynamical Quantum Phase Transitions in Spin Chains with Long-Range Interactions: Merging Different Concepts of Nonequilibrium Criticality
Bojan Zunkovic, Markus Heyl, Michael Knap, Alessandro Silva
Phys. Rev. Lett. 120, 130601 (2018)

33. Quantum dynamics in transverse-field Ising models from classical networks
M. Schmitt, M. Heyl
arXiv: 1707.06656
SciPost Phys. 4, 013 (2018)

32. Dynamical quantum phase transitions: a review
M. Heyl
arXiv: 1709.07461
Rep. Prog. Phys. 81, 054001 (2018)


31. Many-Body Localization Dynamics from Gauge Invariance
M. Brenes, M. Dalmonte, M. Heyl, A. Scardicchio
Phys. Rev. Lett. 120, 030601 (2018)
          Editor's Suggestion

30. Observation of dynamical vortices after quenches in a system with topology

N. Fläschner, D. Vogel, M. Tarnowski, B. S. Rem, D.-S. Lühmann, M. Heyl, J. C. Budich, L. Mathey, K. Sengstock, C. Weitenberg
Nature Phys. 14, 265 (2018)


29. Dynamical Topological Quantum Phase Transitions for Mixed States
M. Heyl, J.C. Budich

Phys. Rev. B 96, 180304(R) (2017)


28. Dynamical Quantum Phase Transitions in Systems with Continuous Symmetry Breaking
S. Weidinger, M. Heyl, A. Silva, M. Knap
arXiv: 1709.00421
Phys. Rev. B 96, 134313 (2017)


27. U(1) Wilson lattice gauge theories in digital quantum simulators
Christine Muschik, Markus Heyl, Esteban Martinez, Thomas Monz, Philipp Schindler, Berit Vogell, Marcello Dalmonte, Philipp Hauke, Rainer Blatt, Peter Zoller 
New J. Phys. 19, 103020 (2017)


26. Direct Observation of Dynamical Quantum Phase Transitions in an Interacting Quantum Many-Body System
P. Jurcevic, H. Shen, P. Hauke, C. Maier, T. Brydges, C. Hempel, B. P. Lanyon, M. Heyl, R. Blatt, and C. F. Roos
Phys. Rev. Lett. 119, 080501 (2017)           Editor's suggestion
arXiv: 1612.06902 
See viewpoint: Quantum Phase Transitions Go Dynamical


25. Characterizing Time-Irreversibility in Disordered Fermionic Systems by the Effect of Local Perturbations
Shreya Vardhan, Giuseppe De Tomasi, Markus Heyl, Eric J. Heller, Frank Pollmann 
Phys. Rev. Lett. 119, 016802 (2017)


24. Quenching a Quantum Critical State by the Order Parameter: Dynamical Quantum Phase Transitions and Quantum Speed Limits
M. Heyl
Phys. Rev. B 95, 060504 (R) (2016)          Editor's suggestion


23. Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
E. A. Martinez, C. A. Muschik, P. Schindler, D. Nigg, A. Erhard, M. Heyl, P. Hauke, M. Dalmonte, T. Monz, P. Zoller, R. Blatt 
Nature 534, 516 (2016) 

22. Prethermalization and Thermalization of a Quenched Interacting Luttinger Liquid
Michael Buchhold, Markus Heyl, Sebastian Diehl 
Phys. Rev. A 94, 013601 (2016) 

21. Robustness of many-body localization in the presence of dissipation
Emanuele Levi, Markus Heyl, Igor Lesanovsky, Juan P. Garrahan 
Phys. Rev. Lett. 116, 237203 (2016) 

20. Many-body localization in a quantum simulator with programmable random disorder
J. Smith, A. Lee, B. Neyenhuis, P. W. Hess, P. Richerme, P. Hauke, M. Heyl, D. A. Huse, C. Monroe 
Nature Physics 12, 907 (2016) 


19. Heating and many-body resonances in a periodically driven two-band system
Marin Bukov, Markus Heyl, David A. Huse, Anatoli Polkovnikov
Phys. Rev. B 93, 155132 (2016)


18. Measuring multipartite entanglement via dynamic susceptibilities
Philipp Hauke, Markus Heyl, Luca Tagliacozzo, Peter Zoller 
Nature Physics 12, 778 (2016) 

17. Dynamical topological order parameters far from equilibrium
J. Budich and M. Heyl 
Phys. Rev. B 93, 085416 (2016) 


16. Stretched exponential decay of Majorana edge modes in many-body localized Kitaev chains under dissipation
A. Carmele, M. Heyl, C. Kraus, and M. Dalmonte 
Phys. Rev. B 92, 195107 (2015) 

15. Many-body localization and quantum ergodicity in disordered long-range Ising models
P. Hauke and M. Heyl 
Phys. Rev. B 92, 134204 (2015) 

14. Scaling and Universality at Dynamical Quantum Phase Transitions
M. Heyl 
Phys. Rev. Lett. 115, 140602 (2015) 

13. Nonequilibrium dynamical renormalization group: Dynamical crossover from weak to infinite randomness in the transverse-field Ising chain
M. Heyl and M. Vojta 
Phys. Rev. B 92, 104401 (2015) 

12. Probing Entanglement in Adiabatic Quantum Optimization with Trapped Ions
P. Hauke, L. Bonnes, M. Heyl, W. Lechner 
Front. Phys. 3, 21 (2015) 


11. Dynamical Quantum Phase Transitions in Systems with Broken-Symmetry Phases
M. Heyl 
Phys. Rev. Lett. 113, 205701 (2014) 

10. Dynamics of Symmetry Breaking during Quantum Real-Time Evolution in a Minimal Model System
M. Heyl and M. Vojta 
Phys. Rev. Lett. 113, 180601 (2014) 


9. Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
M. Heyl, A. Polkovnikov, and S. Kehrein 
Phys. Rev. Lett. 110, 135704 (2013) 


8. Parametric instability in periodically driven Luttinger liquids
M. Bukov and M. Heyl 
Phys. Rev. B 86, 054304 (2012) 

7. Crooks Relation in Optical Spectra: Universality in Work Distributions for Weak Local Quenches
M. Heyl and S. Kehrein 
Phys. Rev. Lett. 108, 190601 (2012) 

6. X-ray edge singularity in optical spectra of quantum dots
M. Heyl and S. Kehrein 
Phys. Rev. B 85, 155413 (2012)


5. Real-time energy dynamics in spin-1/2 Heisenberg chains
S. Langer, M. Heyl, I. P. McCulloch, and F. Heidrich-Meisner 
Phys. Rev. B 84, 205115 (2011) 


4. Exact results for nonlinear ac transport through a resonant level model
P. Wang, M. Heyl, and S. Kehrein 
J. Phys. C: Condens. Matt. 22, 275604 (2010) 

3. Electron-plasmon scattering in chiral one-dimensional systems with nonlinear dispersion
M. Heyl, S. Kehrein, F. Marquardt, and C. Neuenhahn 
Phys. Rev. B 82, 033409 (2010) 

2. Interaction quench dynamics in the Kondo model in the presence of a local magnetic field
M. Heyl and S. Kehrein 
J. Phys. C: Condens. Matt. 22, 245604 (2010) 

1. Nonequilibrium steady state in a periodically driven Kondo model
M. Heyl and S. Kehrein 
Phys. Rev. B 81, 144301 (2010)