TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.19.6.152
TI  - Algebraic law of local correlations in a driven Rydberg atomic system
PY  - 2025/12/11
UR  - https://scipost.org/SciPostPhys.19.6.152
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 19
IS  - 6
SP  - 152
A1  - Wang, Xin
AU  - Wu, XiaoFeng
AU  - Yang, Bo
AU  - Zhang, Bo
AU  - Xiong, Bo
AB  - 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},
}