Scalable spin-nematic squeezing in multi-level dipole-interacting Rydberg atom arrays

• URL: http://arxiv.org/abs/2605.00096v1
• Date: Thu, 30 Apr 2026 18:00:03 GMT
• Title: Scalable spin-nematic squeezing in multi-level dipole-interacting Rydberg atom arrays
• Abstract summary: We study the generation of metrologically useful entanglement in a three-level (spin-1) system naturally realized in arrays of Rydberg atoms confined in optical tweezers.<n>Our results constitute a first theoretical step beyond the well-studied qubit setting toward scalable entanglement generation in qudit systems with dipolar interactions.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study the generation of metrologically useful entanglement in a three-level (spin-1) system naturally realized in arrays of dipole-interacting Rydberg atoms confined in optical tweezers. In the spin-quadrupolar operator basis, the interaction Hamiltonian decomposes into effective SU(2) subspaces, within which quench dynamics from product initial states generate scalable spin-nematic squeezing. For symmetric interactions, we identify a mapping to effective one-axis twisting within bright and dark manifolds and demonstrate that the squeezing parameter scales as $ξ^{2}\propto N^{-2/3}$ ($ξ^{2}\propto N^{-0.5}$) with system size for all-to-all (two-dimensional dipolar) couplings. In both cases the quantum Fisher information reaches $F_Q\propto N^{2}$. For antisymmetric interactions supplemented by a microwave drive we find a distinct two-axis countertwisting mechanism. This results in squeezing $ξ^{2}\propto N^{-0.7}$ for all-to-all interactions and moderate squeezing for dipolar interactions in 2D. Our results constitute a first theoretical step beyond the well-studied qubit setting toward scalable entanglement generation in qudit systems with dipolar interactions, directly relevant to current Rydberg tweezer experiments.

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