Herein, a fine-tuning method is proposed for the spatial distributions of a mixed three-dimensional (3D) ion system in dual radio frequency (RF) linear Paul traps to achieve efficient sympathetic cooling. The dual RF field matching, efficient capture method and transient process of the intrinsic micromotion of the mixed ion system are analyzed quantitatively by numerical simulations. The 3D correlation coupling characteristics between intrinsic micromotion and secular motion of ion system are obtained. It is found that reasonable low-frequency trapping potential can produce ultra-low-frequency pulling effect on ions with low mass-to-charge ratio (M/Q), which is beneficial to the dynamic coupling between ions with large M/Q differences. The effects of equivalent stiffness coefficients (κ) on the relative spatial configuration and dynamic coupling process of mixed 3D ion crystals with large M/Q differences are discussed. By tuning κ, radial distributions of laser-cooled ions (LCIs) and sympathetically cooled ions (SCIs) that do not conform to the rules based on M/Q are realized. The optimum sympathetic-cooling efficiency occurs, where κH is approximately equivalent to κL. These results are applicable to studies such as cold ion clocks, quantum logic manipulation, antimatter synthesis, regulation of cold chemical reaction, and precise spectral measurements based on sympathetic cooling.

中文翻译：

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调整双组分离子系统的相对空间分布以提高交感冷却效率

在此，提出了一种微调方法，用于双射频 (RF) 线性保罗陷阱中混合三维 (3D) 离子系统的空间分布，以实现高效的交感神经冷却。通过数值模拟定量分析了混合离子系统本征微动的双射频场匹配、高效捕获方法和瞬态过程。获得了离子系统固有微动与长期运动之间的3D相关耦合特性。研究发现，合理的低频俘获电位可以对质荷比（M/Q）低的离子产生超低频牵引效应，有利于M/Q差异较大的离子之间的动态耦合。 . 等效刚度系数的影响(κ)讨论了具有大 M/Q 差异的混合 3D 离子晶体的相对空间构型和动态耦合过程。通过调κ，实现了不符合基于 M/Q 规则的激光冷却离子 (LCI) 和交感冷却离子 (SCI) 的径向分布。出现最佳的交感神经冷却效率，其中κH大约相当于κ大号. 这些结果适用于冷离子钟、量子逻辑操作、反物质合成、冷化学反应调控以及基于交感神经冷却的精确光谱测量等研究。