射频不平衡在同相双射频叶片阱中向离子微运动的几何分辨投影
Geometry-Resolved Projection of RF Imbalance to Ion Micromotion in a Same-Phase Dual-RF Blade Trap
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中文总结 AI 辅助
研究高Q螺旋谐振器共模指标与离子侧场关系，通过结合两节点差分射频模型与单电极有限元基，得到同相叶片阱几何分辨投影，给出相关电容、场系数等数据及模型敏感性表征，位移为投影值未验证。
中文摘要 AI 辅助
高Q螺旋谐振器的共模指标无法确定双电极驱动中剩余的离子侧场。我们将两节点差分射频模型与单电极有限元基相结合，得到了同相叶片阱的仅计算的、几何分辨投影。对于每个分支3.5 pF的外部负载，该模型给出总有效分支电容为7.640 pF，在负载Q = 600时半高宽等效全分支差尺度为12.7 fF。七段几何结构给出每差分峰值电压的中心和轴向均方根差分场系数分别为640 V/m和635 V/m。10 fF失配与有效平衡尺度0.1 pF在100 V共峰电压下投影到中心/均方根171Yb+微运动为44.5/44.1 nm。补充的热、旁路导纳和测试数值案例表征了模型的敏感性。所有报告的位移均为投影值，未进行射频台或离子侧验证。
英文摘要
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.
