Quantum simulation of 2D antiferromagnets with hundreds of Rydberg atoms
Open accessAbstract
Quantum simulation using synthetic systems is a promising route to solve outstanding quantum many-body problems in regimes where other approaches, including numerical ones, fail 1. Many platforms are being developed towards this goal, in particular based on trapped ions 2-4, superconducting circuits 5-7, neutral atoms 8-11 or molecules 12,13. All of these platforms face two key challenges: scaling up the ensemble size while retaining high-quality control over the parameters, and validating the outputs for these large systems. Here we use programmable arrays of individual atoms trapped in optical tweezers, with interactions controlled by laser excitation to Rydberg states 11, to implement an iconic many-body problem-the antiferromagnetic two-dimensional transverse-field Ising model. We push this platform to a regime with up to 196 atoms manipulated with high fidelity and probe the antiferromagnetic order by dynamically tuning the parameters of the Hamiltonian. We illustrate the versatility of our platform by exploring various system sizes on two qualitatively different geometries-square and triangular arrays. We obtain good agreement with numerical calculations up to a computationally feasible size (approximately 100 particles). This work demonstrates that our platform can be readily used to address open questions in many-body physics.
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Tensor networks are considered the state of the art for simulation of quantum states and dynamics in low-dimensional quantum systems.
“Tensor networks are considered the state of the art for simulation of quantum states and dynamics in low-dimensional quantum systems 27,[41][42][43][44][45]48 .”
From Beyond-classical computation in quantum simulation (2025) · cites this paper as [27]
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- Authors
- Scholl, P., Schuler, M., Williams, H. J., Eberharter, A. A., Barredo, D., Schymik, K.-N., Lienhard, V., Henry, L.-P., Lang, T. C., Lahaye, T., Läuchli, A. M., & Browaeys, A.
- Affiliations
- Centre National de la Recherche Scientifique (FR)
- TU Wien (AT)
- Universität Innsbruck (AT)
- Universität Hamburg (DE)
- Corresponding author
- Scholl, Pascal
- ORCID
- Venue
- Nature
- Published
- 2021-07-07
- Volume
- 595
- Issue
- 7866
- Pages
- 233-238
- ISSN
- 0028-0836 (ISSN-L)
- 1476-4687
- OpenAlex
- W3115562073
- Cited by
- 688
- References
- 10
- Citations by year
- 2026: 80 · 2025: 152 · 2024: 133 · 2023: 139 · 2022: 144 · 2021: 38 · 2020: 2
- FWCI
- 49.66
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Nature (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- HAL (submittedVersion, other-oa)
- RePEc: Research Papers in Economics (submittedVersion)
- DIGITAL.CSIC (Spanish National Research Council (CSIC)) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Cold Atom Physics and Bose-Einstein Condensates
- 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
- Keywords
- quantum simulation, antiferromagnets, Rydberg atoms, optical tweezers, transverse-field Ising model, antiferromagnetic ordering, trapped neutral atoms
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