Quantum Kibble–Zurek mechanism and critical dynamics on a programmable Rydberg simulator
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For 1D systems, the measured scaling exponent is consistent with the expected KZ defect scaling n ∝ t -1/μ a with z = 1 and ν = 1.
“As in previous works 24,26 , the measured scaling exponent is consistent with the expected KZ defect scaling n ∝ t -1/µ a with z = 1 and ν = 1.”
From Beyond-classical computation in quantum simulation (2025) · cites this paper as [26]
The main text (p. 3) says the measured exponent for the 1D Z₂ transition is consistent with the Ising predictions z = 1, ν = 1, and μ = 0.5. However, the paper reports scaling of correlation length with sweep rate, not a measured defect-density scaling of the form n ∝ t_a^(-1/μ); that part of the attributed claim is not supported by our copy. (LLM, conf=0.83)
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Cites
The density-matrix renormalization group
Schollwöck, U. (2005) · Reviews of Modern Physics · doi:10.1103/revmodphys.77.259 · Cited by 3,323 · see citing works
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 · see citing works
Self-citationUniversality of phase transition dynamics: Topological defects from symmetry breaking
del Campo, A., & Zurek, W. H. (2014) · International Journal of Modern Physics A · doi:10.1142/s0217751x1430018x · Cited by 364 · see citing works
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Research works printed but not linked: 5
- [41]Peschel, I., Wang, X., Kaulke, M. & Hallberg, K. (eds.) Density-matrix Renormalization: A New Numerical Method in Physics. Lecture Notes in Physics (Springer-Verlag, Berlin Heidelberg, 1999).
- [42]McCulloch, I. P. Infinite size density matrix renormalization group, revisited. arXiv:0804.2509v1 (2008). · arXiv
- [43]Pirvu, B., Murg, V., Cirac, J. I. & Verstraete, F. Matrix product operator representations. New Journal of Physics 12 (2010).
- [45]Schollwock, U. The density-matrix renormalization group: a short introduction. Phil. Trans. R. Soc. A 369 , 2643 (2011).
- [46]Gerster, M., Haggenmiller, B., Tschirsich, F., Silvi, P. & Montangero, S. Dynamical Ginzburg criterion for the quantum-classical crossover of the Kibble-Zurek mechanism. arXiv:1807.10611 (2018). · arXiv
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Quantum phases of matter on a 256-atom programmable quantum simulator
Ebadi, S., Wang, T. T., Levine, H., Keesling, A., Semeghini, G., Omran, A., Bluvstein, D., Samajdar, R., Pichler, H., Ho, W. W., et al. (2021) · Nature · doi:10.1038/s41586-021-03582-4 · Cited by 995 · see citing works
Self-citationZhou, L., Wang, S.-T., Choi, S., Pichler, H., & Lukin, M. D. (2020) · Physical Review X · doi:10.1103/physrevx.10.021067 · Cited by 913 · see citing works
Self-citationCoherent quantum annealing in a programmable 2,000 qubit Ising chain
King, A. D., Suzuki, S., Raymond, J., Zucca, A., Lanting, T., Altomare, F., Berkley, A. J., Ejtemaee, S., Hoskinson, E., Huang, S., et al. (2022) · Nature Physics · doi:10.1038/s41567-022-01741-6 · Cited by 213 · see citing works
Beyond-classical computation in quantum simulation
King, A. D., Nocera, A., Rams, M. M., Dziarmaga, J., Wiersema, R., Bernoudy, W., Raymond, J., Kaushal, N., Heinsdorf, N., Harris, R., et al. (2025) · Science · doi:10.1126/science.ado6285 · Cited by 138 · see citing works
Neutral atom quantum computing hardware: performance and end-user perspective
Wintersperger, K., Dommert, F., Ehmer, T., Hoursanov, A., Klepsch, J., Mauerer, W., Reuber, G., Strohm, T., Yin, M., & Luber, S. (2023) · EPJ Quantum Technology · doi:10.1140/epjqt/s40507-023-00190-1 · Cited by 117 · see citing works
Enhanced atom-by-atom assembly of arbitrary tweezer arrays
Schymik, K.-N., Lienhard, V., Barredo, D., Scholl, P., Williams, H., Browaeys, A., & Lahaye, T. (2020) · Physical Review A · doi:10.1103/physreva.102.063107 · Cited by 94 · see citing works
Fast Preparation and Detection of a Rydberg Qubit Using Atomic Ensembles
Xu, W., Venkatramani, A. V., Cantú, S. H., Šumarac, T., Klüsener, V., Lukin, M. D., & Vuletić, V. (2021) · Physical Review Letters · doi:10.1103/physrevlett.127.050501 · Cited by 64 · see citing works
Self-citation
- Authors
- Keesling, A., Omran, A., Levine, H., Bernien, H., Pichler, H., Choi, S., Samajdar, R., Schwartz, S., Silvi, P., Sachdev, S., Zoller, P., Endres, M., Greiner, M., Vuletić, V., & Lukin, M. D.
- Affiliations
- Harvard University (US)
- Centre National de la Recherche Scientifique (FR)
- Austrian Academy of Sciences (AT)
- California Institute of Technology (US)
- Massachusetts Institute of Technology (US)
- Corresponding author
- Lukin, Mikhail D.
- ORCID
- Venue
- Nature
- Published
- 2019-04
- Volume
- 568
- Issue
- 7751
- Pages
- 207-211
- ISSN
- 0028-0836 (ISSN-L)
- 1476-4687
- OpenAlex
- W2890999059
- Cited by
- 534
- References
- 3
- Citations by year
- 2026: 50 · 2025: 86 · 2024: 72 · 2023: 82 · 2022: 73 · 2021: 77 · 2020: 74 · 2019: 19
- FWCI
- 26.71
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Nature (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- DSpace@MIT (Massachusetts Institute of Technology) (submittedVersion, cc-by-nc)
- CaltechAUTHORS (California Institute of Technology) (submittedVersion)
- Digital Access to Scholarship at Harvard (DASH) (Harvard University) (submittedVersion, cc-by)
- HAL (submittedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- Padua Research Archive (University of Padova) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation (1733907)
- Smithsonian Institution
- U.S. Department of Energy (DESC0019030)
- Harvard University
- European Commission (H2020-MSCA-IF-2014, 658253, H2020‐MSCA‐IF, H2020-MSCA)
- Deutsche Forschungsgemeinschaft
- Institute for Theoretical Atomic, Molecular and Optical Physics, Harvard University
- Smithsonian Astrophysical Observatory
- Horizon 2020 Framework Programme (H2020‐MSCAIF‐2014, H2020-MSCA, MSCA-IF-2014)
- National Defense Science and Engineering Graduate
- Multidisciplinary University Research Initiative
- Institute for Quantum Information and Matter, California Institute of Technology (PHY-1733907)
- Air Force Office of Scientific Research
- Army Research Office
- 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 › Physics and Astronomy › Condensed Matter Physics › Theoretical and Computational Physics
- Keywords
- quantum phase transitions, critical dynamics, Ising transition, critical exponents, spatial correlation, nonequilibrium quantum dynamics
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