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arXiv · 2607.17793

Geometry-Resolved Projection of RF Imbalance to Ion Micromotion in a Same-Phase Dual-RF Blade Trap

Chun-Yang Luan·Haiyu Ding·Cheng-Kang Pan·Xiangjie Li·Lin Cheng·Gangxi Wang·Yuting Lei·Peilin Zheng·Shixin Hu·Xiang Zhang·Fei Wang
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Abstract

Common-mode metrics of a high-$Q$ helical resonator do not determine the residual ion-side field in a dual-electrode drive. We combine a two-node differential RF model with single-electrode finite-element bases to obtain a computation-only, geometry-resolved projection for a same-phase blade trap. For a 3.5 pF external load per branch, the model gives a total effective branch capacitance of 7.640 pF and an HWHM-equivalent full branch-difference scale of 12.7 fF at $Q_{\mathrm{loaded}}=600$. The seven-segment geometry gives center and axial-RMS differential field coefficients of 640 V m$^{-1}$ and 635 V m$^{-1}$ per differential peak volt. A representative 10 fF mismatch with an effective 0.1 pF balance scale projects to 44.5/44.1 nm center/RMS $^{171}\mathrm{Yb}^{+}$ micromotion at 100 V common peak voltage. Supplementary thermal, bypass-admittance, and tested numerical cases characterize model sensitivity. All reported displacements are projections; no RF-bench or ion-side validation is claimed.

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Chun-Yang Luan, Haiyu Ding, Cheng-Kang Pan, Xiangjie Li, Lin Cheng, Gangxi Wang, Yuting Lei, Peilin Zheng, Shixin Hu, Xiang Zhang, Fei Wang. 2026-07-20. Geometry-Resolved Projection of RF Imbalance to Ion Micromotion in a Same-Phase Dual-RF Blade Trap. https://arxiv.org/abs/2607.17793

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