2026/07/20 by Chun-Yang Luan, Haiyu Ding, Cheng-Kang Pan +8
#quant-ph
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 Qloaded=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 171Yb+ 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.