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    Enhanced and Long-Lived Spin Squeezing in 2D Finite-Range Systems via Global Control Fields

    Ang Li1,*, Zhen-Xing Hua1,*, Meng Khoon Tey1,2,3,†, Ling-Na Wu4,‡, and Li You1,2,3,§

    • *These authors contributed equally to this work.
    • †Contact author: mengkhoon_tey@mail.tsinghua.edu.cn
    • ‡Contact author: lingna.wu@hainanu.edu.cn
    • §Contact author: lyou@mail.tsinghua.edu.cn

    Phys. Rev. Lett. 137, 130801 – Published 22 September, 2026

    DOI: https://doi.org/10.1103/htbh-w6rx

    Abstract

    Spin squeezing is both a fundamental witness of quantum entanglement and a key resource for quantum-enhanced metrology. While all-to-all interactions provide a paradigmatic route to generate spin squeezing, many programmable quantum simulators naturally realize finite-range interactions that induce coupling between collective spin dynamics and finite-momentum spin-wave modes, thereby degrading the achievable squeezing. Here we develop an optimization-based global-control strategy for enhancing spin squeezing in a two-dimensional XX model with dipolar interactions. By combining rotor-spin-wave theory with an extension to open boundary conditions, we enable efficient optimization of control protocols for large finite-range interacting systems. We show that a single collective transverse field generates squeezing beyond the conventional two-axis-twisting benchmark across system sizes accessible to numerical benchmarking. The optimized dynamics exploits squeezing-axis reorientation while suppressing spin-wave excitations, thereby stabilizing strong squeezing over extended times. We further implement the optimized protocol in a two-dimensional Rydberg-atom array and experimentally observe enhanced, long-lived spin squeezing in good agreement with theory.

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