database Jean-Yves Marc Desaules author 6c292945-a610-11ed-9eec-c3be1ad62a800000-0002-3749-6375 MaSe department IST-BRIDGE: International postdoctoral program project Non-Ergodic Quantum Matter: Universality, Dynamics and Control project Persistent revivals recently observed in Rydberg atom simulators have challenged our understanding of thermalization and attracted much interest to the concept of quantum many-body scars (QMBSs). QMBSs are non-thermal highly excited eigenstates that coexist with typical eigenstates in the spectrum of many-body Hamiltonians, and have since been reported in multiple theoretical models, including the so-called PXP model, approximately realized by Rydberg simulators. At the same time, questions of how common QMBSs are and in what models they are physically realized remain open. In this Letter, we demonstrate that QMBSs exist in a broader family of models that includes and generalizes PXP to longer-range constraints and states with different periodicity. We show that in each model, multiple QMBS families can be found. Each of them relies on a different approximate 𝔰𝔲⁡(2) algebra, leading to oscillatory dynamics in all cases. However, in contrast to the PXP model, their observation requires launching dynamics from weakly entangled initial states rather than from a product state. QMBSs reported here may be experimentally probed using Rydberg atom simulator in the regime of longer-range Rydberg blockades. https://research-explorer.ista.ac.at/download/19623/19646/Data+Code.zip application/zipno https://research-explorer.ista.ac.at/download/19623/19647/readme.txt text/plainno https://creativecommons.org/licenses/by-nc/4.0/ Institute of Science and Technology Austria2025 quantum many-body scarsnon-equilibrium physicsRydberg atoms 10.15479/AT:ISTA:19623 https://research-explorer.ista.ac.at/record/19664 J.-Y.M. Desaules, (2025). J.-Y. M. Desaules, “Research Data for ‘Quantum Many-Body Scars beyond the PXP Model in Rydberg Simulators.’” Institute of Science and Technology Austria, 2025. Desaules J-YM. 2025. Research Data for ‘Quantum Many-Body Scars beyond the PXP Model in Rydberg Simulators’, Institute of Science and Technology Austria, <a href="https://doi.org/10.15479/AT:ISTA:19623">10.15479/AT:ISTA:19623</a>. Desaules, J.-Y. M. (2025). Research Data for “Quantum Many-Body Scars beyond the PXP Model in Rydberg Simulators.” Institute of Science and Technology Austria. <a href="https://doi.org/10.15479/AT:ISTA:19623">https://doi.org/10.15479/AT:ISTA:19623</a> Desaules J-YM. Research Data for “Quantum Many-Body Scars beyond the PXP Model in Rydberg Simulators.” 2025. doi:<a href="https://doi.org/10.15479/AT:ISTA:19623">10.15479/AT:ISTA:19623</a> Desaules, Jean-Yves Marc. <i>Research Data for “Quantum Many-Body Scars beyond the PXP Model in Rydberg Simulators.”</i> Institute of Science and Technology Austria, 2025, doi:<a href="https://doi.org/10.15479/AT:ISTA:19623">10.15479/AT:ISTA:19623</a>. Desaules, Jean-Yves Marc. “Research Data for ‘Quantum Many-Body Scars beyond the PXP Model in Rydberg Simulators.’” Institute of Science and Technology Austria, 2025. <a href="https://doi.org/10.15479/AT:ISTA:19623">https://doi.org/10.15479/AT:ISTA:19623</a>. 196232025-04-24T19:58:46Z2026-06-10T08:40:52Z