Observing the Space- and Time-Dependent Growth of Correlations in Dynamically Tuned Synthetic Ising Models with Antiferromagnetic Interactions
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We explore the dynamics of artificial one-and two-dimensional Ising-like quantum antiferromagnets with different lattice geometries by using a Rydberg quantum simulator of up to 36 spins in which we dynamically tune the parameters of the Hamiltonian.We observe, in a region in parameter space, the onset of antiferromagnetic (AF) ordering, albeit with only finite-range correlations.We study systematically the influence of the ramp speeds on the correlations and their growth in time.We observe a delay in their buildup associated to the finite speed of propagation of correlations in a system with short-range interactions.We obtain a good agreement between experimental data and numerical simulations, taking into account experimental imperfections measured at the single-particle level.Finally, we develop an analytical model, based on a short-time expansion of the evolution operator, which captures the observed spatial structure of the correlations, and their buildup in time.
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Analogue quantum simulation with ultra-cold neutral atoms has been performed in research labs for many years and is being used for various applications ranging from statistical physics and material science to high-energy physics and astrophysics.
“Analogue quantum simulation with ultra-cold neutral atoms has been performed in research labs since many years and is being used for various applications ranging from statistical physics [78] and material science, such as the investigation of high-temperature superconductors [79][80][81][82][83][84], or simulation of spin systems [85][86][87][88][89] to high-energy physics and astrophysics [90][91”
From Neutral atom quantum computing hardware: performance and end-user perspective (2023) · cites this paper as [86]
Simulating quantum mechanics on classical computers requires resources growing exponentially in the problem instance size, so certain problems will remain out of reach regardless of algorithm design.
“Both argued that simulating quantum mechanics on classical computers requires resources growing exponentially in the problem instance size, so that certain problems will remain out of reach, regardless of the ingenuity of the algorithm designers.”
From Quantum Chemistry in the Age of Quantum Computing (2019) · cites this paper as [28]
The number of classical bits needed to store a wave function of N quantum systems grows as O(exp(N)), whereas the number of quantum bits needed to store this wave function grows as O(N).
“while the scaling of the number of classical bits needed to store a wave function of N quantum systems grows as O (exp( N )), the scaling of quantum bits needed to store this wave function is 1 O ( N ).”
From Quantum Chemistry in the Age of Quantum Computing (2019) · cites this paper as [28]
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Self-citation
- Authors
- Lienhard, V., de Léséleuc, S., Barredo, D., Lahaye, T., Browaeys, A., Schuler, M., Henry, L.-P., & Läuchli, A. M.
- Affiliations
- Centre National de la Recherche Scientifique (FR)
- Venue
- Physical Review X
- Publisher
- American Physical Society (APS)
- Published
- 2018-06-18
- Volume
- 8
- Issue
- 2
- Pages
- 021070
- ISSN
- 2160-3308 (ISSN-L)
- OpenAlex
- W2765165076
- Cited by
- 209
- References
- 66
- Citations by year
- 2026: 8 · 2025: 14 · 2024: 18 · 2023: 29 · 2022: 23 · 2021: 22 · 2020: 52 · 2019: 25 · 2018: 18
- FWCI
- 13.53
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Licence
- Locations
- Physical Review X (publishedVersion, cc-by)
- arXiv (Cornell University) (submittedVersion)
- HAL (submittedVersion, other-oa)
- DIGITAL.CSIC (Spanish National Research Council (CSIC)) (submittedVersion, cc-by)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- arXiv (Cornell University)
- Funders
- H2020 Future and Emerging Technologies
- Agence Nationale de la Recherche
- Austrian Science Fund (F-4018)
- Bundesministerium für Wissenschaft, Forschung und Wirtschaft
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Cold Atom Physics and Bose-Einstein Condensates
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Keywords
- antiferromagnetic interactions, quantum antiferromagnets, antiferromagnetic ordering, short-time expansion, short-range interactions, lattice geometry
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