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Observation of a many-body dynamical phase transition with a 53-qubit quantum simulator
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A quantum simulator is a type of quantum computer that controls the interactions between quantum bits (or qubits) in a way that can be mapped to certain quantum many-body problems. As it becomes possible to exert more control over larger numbers of qubits, such simulators will be able to tackle a wider range of problems, such as materials design and molecular modelling, with the ultimate limit being a universal quantum computer that can solve general classes of hard problems. Here we use a quantum simulator composed of up to 53 qubits to study non-equilibrium dynamics in the transverse-field Ising model with long-range interactions. We observe a dynamical phase transition after a sudden change of the Hamiltonian, in a regime in which conventional statistical mechanics does not apply. The qubits are represented by the spins of trapped ions, which can be prepared in various initial pure states. We apply a global long-range Ising interaction with controllable strength and range, and measure each individual qubit with an efficiency of nearly 99 per cent. Such high efficiency means that arbitrary many-body correlations between qubits can be measured in a single shot, enabling the dynamical phase transition to be probed directly and revealing computationally intractable features that rely on the long-range interactions and high connectivity between qubits.
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“Analog quantum simulators have been getting notably more sophisticated, and are already being employed to study quantum dynamics in regimes which may be beyond the reach of classical simulators [51, 52].”
From Quantum Computing in the NISQ era and beyond (2018) · cites this paper as [52]
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Cites
Quantum Computation and Quantum Information
Nielsen, M. A., Chuang, I., & Grover, L. K. (2002) · American Journal of Physics · doi:10.1119/1.1463744 · Cited by 21,895
Quantum Computation and Quantum Information: 10th Anniversary Edition
Nielsen, M. A., & Chuang, I. L. (2012) · doi:10.1017/cbo9780511976667 · Cited by 8,436
Simulating physics with computers
Feynman, R. P. (1982) · International Journal of Theoretical Physics · doi:10.1007/bf02650179 · Cited by 7,691
Subir Sachdev, A. (2000) · Cambridge University Press eBooks · doi:10.1017/cbo9780511622540 · Cited by 3,675
Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets
Kandala, A., Mezzacapo, A., Temme, K., Takita, M., Brink, M., Chow, J. M., & Gambetta, J. M. (2017) · Nature · doi:10.1038/nature23879 · Cited by 2,982
Georgescu, I. M., Ashhab, S., & Nori, F. (2014) · Reviews of Modern Physics · doi:10.1103/revmodphys.86.153 · Cited by 2,932
Probing many-body dynamics on a 51-atom quantum simulator
Bernien, H., Schwartz, S., Keesling, A., Levine, H., Omran, A., Pichler, H., Choi, S., Zibrov, A. S., Endres, M., Greiner, M., et al. (2017) · Nature · doi:10.1038/nature24622 · Cited by 2,460
Experimental issues in coherent quantum-state manipulation of trapped atomic ions
Wineland, D. J., Monroe, C., Itano, W. M., Leibfried, D., King, B. E., & Meekhof, D. M. (1998) · Journal of Research of the National Institute of Standards and Technology · doi:10.6028/jres.103.019 · Cited by 1,497
Self-citationOn the computational complexity of Ising spin glass models
Barahona, F. (1982) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/15/10/028 · Cited by 1,303
Quantum many-body systems out of equilibrium
Eisert, J., Friesdorf, M., & Gogolin, C. (2015) · Nature Physics · doi:10.1038/nphys3215 · Cited by 1,255
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Sharma, H., & Bhosale, U. T. (2024) · Physical review. B./Physical review. B · doi:10.1103/physrevb.110.064313 · Cited by 4
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Gui, S., Ho, T., & RABITZ, H. A. (2024) · Physical Review A · doi:10.1103/physreva.110.052412 · Cited by 3
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Yin, S., Wu, S. L., Wang, Y., Bai, L., & Liu, S. (2025) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2025.130640 · Cited by 3
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Ermakov, I., Lychkovskiy, O. V., & Fine, B. V. (2025) · Physical review. E · doi:10.1103/zcgw-q34x · Cited by 9
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Anzà, F., Pietracaprina, F., & Goold, J. (2020) · Quantum · doi:10.22331/q-2020-04-02-250 · Cited by 4
Quantum computing hardware in the cloud: Should a computational chemist care?
Rossi, A., Baity, P. G., Schäfer, V. M., & Weides, M. (2021) · International Journal of Quantum Chemistry · doi:10.1002/qua.26688 · Cited by 4
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Bjerlin, J., Sørensen, A. S., & Haas, S. (2022) · Physical review. B./Physical review. B · doi:10.1103/physrevb.106.035414 · Cited by 3
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Białończyk, M., Gómez-Ruiz, F. J., & del Campo, A. (2021) · New Journal of Physics · doi:10.1088/1367-2630/ac23f0 · Cited by 3
Invariance of success probability in Grover's quantum search under local noise with memory
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Zuo, Y., Han, J. Z., Wei, L., Zhang, J., & Wang, L. J. (2018) · Joint Conference of the European Frequency and Time Forum and IEEE International Frequency Control Symposium (EFTF/IFCS) · doi:10.1109/fcs.2018.8597554 · Cited by 3
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Borisenko, A., Zalivako, I. V., Semerikov, I. A., Aksenov, M. A., Khabarova, K. Y., & Kolachevsky, N. (2019) · Laser Physics · doi:10.1088/1555-6611/ab2b9e · Cited by 3
Versatile objectives with NA = 0.55 and NA = 0.78 for cold-atom experiments
Li, S., Li, G., Yang, P., Wang, Z., Zhang, P., & Zhang, T. (2020) · Optics Express · doi:10.1364/oe.408945 · Cited by 3
Macroscopic effects of localised measurements in jammed states of quantum spin chainsPreprint
Bidzhiev, K., Fagotti, M., & Zadnik, L. (2021) · arXiv (Cornell University) · doi:10.48550/arxiv.2108.03230 · Cited by 3
Jin, J., Zhang, Q., Bornhauser, P., Knopp, G., Marquardt, R. R., & Radi, P. (2022) · The Journal of Chemical Physics · doi:10.1063/5.0087743 · Cited by 2
Parks, Z. P., Carignan-Dugas, A., Gustafson, E., Meurice, Y., & Dreher, P. (2024) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.109.014505 · Cited by 5
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Yao, G.-Z., Peng, L.-Y., & Gong, Q. (2025) · Physical Review A · doi:10.1103/9zwv-s4bn · Cited by 2
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Anatomy of non-Hermitian dynamical quantum phase transitions
Fu, Y., & Xianlong, G. (2025) · Physical review. B./Physical review. B · doi:10.1103/92w1-71rt · Cited by 2
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Geometric quantum gates of non-closed paths under counterdiabatic driving
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Yang, C., Bahrami, F., Cheng, G., Feldman, M. M., Liu, T., Shumiya, N., Yao, N., Lyon, S. A., Houck, A., de Leon, N. P., et al. (2026) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.2519940123 · Cited by 2
Smearing of dynamical quantum phase transitions in dissipative free-fermion systems
Parez, G., & Alba, V. (2026) · Physical review. B./Physical review. B · doi:10.1103/gqv9-rfss · Cited by 2
Anonymous, Chen, X., & Ban, Y. (2026) · Physical Review Letters · doi:10.1103/j35s-xv5k · Cited by 7
Zhao, P., Sun, J., Jin, S., Hu, Z., Li, D., Liu, X.-J., Schmiedmayer, J., & Chen, X. (2024) · Physical Review A · doi:10.1103/physreva.109.013309 · Cited by 2
Crossover in densities of confined particles with finite range of interaction
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Shannon entropy in quasiparticle states of quantum chains
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Martínez, P. V., López, E., & Bermúdez, A. (2024) · Quantum · doi:10.22331/q-2024-07-15-1411 · Cited by 5
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Wang, J. B. (2025) · Chinese Physics B · doi:10.1088/1674-1056/adb40e · Cited by 2
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Towards using trapped ions as memory nodes in a photon-mediated quantum network
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Zhang, H., Ai, M.-Z., Cui, J., Han, Y., Li, C., & Guo, G. (2021) · Physical Review A · doi:10.1103/physreva.104.022213 · Cited by 2
Demonstration of a MOT in a sub-millimeter membrane hole
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Wang, Q., Khalouf-Rivera, J., & Pérez-Bernal, F. (2025) · Physical Review A · doi:10.1103/physreva.111.032209 · Cited by 2
Kashima, Y. (2019) · arXiv (Cornell University) · doi:10.48550/arxiv.1903.09780 · Cited by 2
Jian, Y., Zhang, A., Yu, Z.-F., & Xue, J.-K. (2024) · Physics Letters A · doi:10.1016/j.physleta.2024.129398 · Cited by 1
Quantum fidelity kernel with a trapped-ion simulation platform
Martínez‐Peña, R., Soriano, M. C., & Zambrini, R. (2024) · Physical Review A · doi:10.1103/physreva.109.042612 · Cited by 1
Tunable Superdiffusion in Integrable Spin Chains Using Correlated Initial States
Singh, H., Kolodrubetz, M., Gopalakrishnan, S., & Vasseur, R. (2024) · Physical Review Letters · doi:10.1103/physrevlett.132.176303 · Cited by 1
Dynamical phase transitions, caustics, and quantum dark bands
Link, V., Strunz, W. T., & O’Dell, D. H. J. (2024) · New Journal of Physics · doi:10.1088/1367-2630/ad8477 · Cited by 2
Generalized spin helix states in quantum spin graphs
Zhang, C. H., Shi, Y., & Song, Z. (2025) · Physica Scripta · doi:10.1088/1402-4896/adaf80 · Cited by 1
Realizing topological quantum walks on NISQ digital quantum computer
Giri, M. K., & Mandal, S. B. (2025) · Physica Scripta · doi:10.1088/1402-4896/adb244 · Cited by 2
Neutral atom quantum computers for the applications in condensed matter physics
Shweta, Kaur, I., Singh, N., Kanjilal, S., & Santra, B. (2025) · Journal of Physics Condensed Matter · doi:10.1088/1361-648x/adbb9b · Cited by 2
Anomalous behaviors in dynamical quantum phase transitions of long-range topological chains
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Janesko, B. G. (2025) · APL Computational Physics · doi:10.1063/5.0293833 · Cited by 1
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Entanglement characteristics of encircling an exceptional point in superconducting circuits
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Anonymous, Kim, J., Ramos, T., Fedorov, A. K., Man’ko, V. I., & Huh, J. (2026) · Physical Review Applied · doi:10.1103/y162-z8m9 · Cited by 1
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Ho, L. B., Hoang, D. T., Anh-Tai, T. D., Busch, T., & Fogarty, T. (2026) · Physical Review A · doi:10.1103/8yq7-jp7r · Cited by 1
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Metadata
- Authors
- Zhang, J., Pagano, G., Hess, P. W., Kyprianidis, A., Becker, P., Kaplan, H., Gorshkov, A. V., Gong, Z.-X., & Monroe, C.
- Affiliations
- National Institute of Standards and Technology (US)
- Corresponding author
- Zhang, J.
- Venue
- Nature
- Published
- 2017-11-30
- Volume
- 551
- Issue
- 7682
- Pages
- 601-604
- ISSN
- 0028-0836 (ISSN-L)
- 1476-4687
- PMC
- PMC6506159
- OpenAlex
- W2744305830
- Semantic Scholar
- c0a03980f716165b71587b2e20a02af7e17abe69
- Cited by
- 1,079
- References
- 50
- Citations by year
- 2026: 58 · 2025: 94 · 2024: 112 · 2023: 121 · 2022: 131 · 2021: 164 · 2020: 163 · 2019: 139 · 2018: 93 · 2017: 4
- FWCI
- 53.54
- Type
- journal article
- Language
- en
- Open access
- green
- www.ncbi.nlm.nih.gov
- Locations
- Nature (publishedVersion)
- PubMed (publishedVersion)
- PubMed Central (acceptedVersion)
- arXiv (Cornell University) (submittedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Cold Atom Physics and Bose-Einstein Condensates
- Keywords
- quantum simulation, trapped-ion quantum simulator, transverse-field Ising model, long-range interactions, nonequilibrium dynamics, single-shot measurement, many-body correlations, quantum computing
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Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
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