Algebraic law of local correlations in a driven Rydberg atomic system, by Xin Wang, XiaoFeng Wu, Bo Yang, Bo Zhang, Bo Xiong
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SciPost Physics Home Authoring Refereeing Submit a manuscript About Algebraic law of local correlations in a driven Rydberg atomic system Xin Wang, XiaoFeng Wu, Bo Yang, Bo Zhang, Bo Xiong SciPost Phys. 19, 152 (2025) · published 11 December 2025 doi: 10.21468/SciPostPhys.19.6.152 pdf BiBTeX RIS Submissions/Reports Abstract Understanding the mechanism behind the buildup of inner correlations is crucial for studying nonequilibrium dynamics in complex, strongly interacting many-body systems. Here we investigate both analytically and numerically the buildup of antiferromagnetic (AF) correlations in a dynamically tuned Ising model with various geometries, realized in a Rydberg atomic system. Through second-order Magnus expansion (ME), we demonstrate quantitative agreement with numerical simulations for diverse configurations including $2 × n$ lattice and cyclic lattice with a star. We find that the AF correlation magnitude at fixed Manhattan distance obeys a universal superposition principle: It corresponds to the algebraic sum of contributions from all shortest paths. This superposition law remains robust against variations in path equivalence, lattice geometries, and quench protocols, establishing a new paradigm for correlation propagation in quantum simulators. × TY - JOURPB - SciPost FoundationDO - 10.21468/SciPostPhys.19.6.152TI - Algebraic law of local correlations in a driven Rydberg atomic systemPY - 2025/12/11UR - https://scipost.org/SciPostPhys.19.6.152JF - SciPost PhysicsJA - SciPost Phys.VL - 19IS - 6SP - 152A1 - Wang, XinAU - Wu, XiaoFengAU - Yang, BoAU - Zhang, BoAU - Xiong, BoAB - Understanding the mechanism behind the buildup of inner correlations is crucial for studying nonequilibrium dynamics in complex, strongly interacting many-body systems. Here we investigate both analytically and numerically the buildup of antiferromagnetic (AF) correlations in a dynamically tuned Ising model with various geometries, realized in a Rydberg atomic system. Through second-order Magnus expansion (ME), we demonstrate quantitative agreement with numerical simulations for diverse configurations including $2 × n$ lattice and cyclic lattice with a star. We find that the AF correlation magnitude at fixed Manhattan distance obeys a universal superposition principle: It corresponds to the algebraic sum of contributions from all shortest paths. This superposition law remains robust against variations in path equivalence, lattice geometries, and quench protocols, establishing a new paradigm for correlation propagation in quantum simulators.ER - × @Article{10.21468/SciPostPhys.19.6.152, title={{Algebraic law of local correlations in a driven Rydberg atomic system}}, author={Xin Wang and XiaoFeng Wu and Bo Yang and Bo Zhang and Bo Xiong}, journal={SciPost Phys.}, volume={19}, pages={152}, year={2025}, publisher={SciPost}, doi={10.21468/SciPostPhys.19.6.152}, url={https://scipost.org/10.21468/SciPostPhys.19.6.152},} Ontology / Topics See full Ontology or Topics database. Dynamical spin correlations Quantum many-body systems Rydberg atoms Authors / Affiliations: mappings to Contributors and Organizations See all Organizations. 1 Xin Wang, 1 XiaoFeng Wu, 2 Bo Yang, 1 Bo Zhang, 1 Bo Xiong 1 武汉理工大学 / Wuhan University of Technology [WUT] 2 湖北理工学院 / Hubei Polytechnic University [HBPU] Funder for the research work leading to this publication National Natural Science Foundation of China [NSFC]