Nanoscale Inclined Four-electrode Ion Traps: Finite-Element Modelling, Floquet Stability, and Surface-Potential Response
Abstract
Developing miniaturised trapped-ion systems requires electrode architectures that provide controlled radio-frequency (RF) confinement while accounting for nanoscale features and surface-induced perturbations. Here, we present a finite-element investigation of an inclined four-blade RF ion-trap architecture for 171Yb+, combining pseudopotential characterisation, matrix Mathieu analysis, Floquet stability assessment, and localised surface-potential modelling. The architecture incorporates exposed electrode-face features of approximately 99-150 nm within an opposing-electrode separation of 20 um. At an electrode inclination of 6 degrees, an RF amplitude of 150 V, and a drive frequency of 15 MHz, the calculated pseudopotential exhibits directional in-plane barriers of 3.430 and 3.389 meV along the principal diagonal paths. The full RF-potential Hessian, including off-diagonal coupling terms, is used to construct the matrix Mathieu equation. Numerical propagation over one RF period identifies two dominant motional branches with secular-frequency estimates of 1.8137 and 1.8181 MHz. A third, predominantly axial branch exhibits a nominal frequency near 7.90 kHz, although its quantitative resolution is limited by the residual Hessian trace and phase-return drift. Additionally, a four-source electrostatic model is developed to investigate the effects of localised surface potentials on modal electric-field responses. Parametric analysis reveals correlation-dependent suppression and enhancement of normalised response coefficients, with multipliers ranging from approximately 0.5 to 1.5. This study establishes a computational framework for investigating nanoscale inclined blade-electrode architectures, their motional characteristics, and surface-potential responses, while highlighting numerical convergence requirements for reliable three-dimensional trap characterisation.
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BibTeX
@misc{archa2026nanoscale,
title = {{Nanoscale Inclined Four-electrode Ion Traps: Finite-Element Modelling, Floquet Stability, and Surface-Potential Response}},
author = {Nahiyan Archa and Abhinand P. and Ahammed Shabeeb and Nikhil Kumar},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.07260},
eprint = {2611.07260},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.07260},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Nanoscale Inclined Four-electrode Ion Traps: Finite-Element Modelling, Floquet Stability, and Surface-Potential Response
AU - Nahiyan Archa
AU - Abhinand P.
AU - Ahammed Shabeeb
AU - Nikhil Kumar
PY - 2026
DA - 2026/11/05
PB - arXiv
DO - 10.48550/arxiv.2611.07260
UR - https://arxiv.org/abs/2611.07260
AB - Developing miniaturised trapped-ion systems requires electrode architectures that provide controlled radio-frequency (RF) confinement while accounting for nanoscale features and surface-induced perturbations. Here, we present a finite-element investigation of an inclined four-blade RF ion-trap architecture for 171Yb+, combining pseudopotential characterisation, matrix Mathieu analysis, Floquet stability assessment, and localised surface-potential modelling. The architecture incorporates exposed electrode-face features of approximately 99-150 nm within an opposing-electrode separation of 20 um. At an electrode inclination of 6 degrees, an RF amplitude of 150 V, and a drive frequency of 15 MHz, the calculated pseudopotential exhibits directional in-plane barriers of 3.430 and 3.389 meV along the principal diagonal paths. The full RF-potential Hessian, including off-diagonal coupling terms, is used to construct the matrix Mathieu equation. Numerical propagation over one RF period identifies two dominant motional branches with secular-frequency estimates of 1.8137 and 1.8181 MHz. A third, predominantly axial branch exhibits a nominal frequency near 7.90 kHz, although its quantitative resolution is limited by the residual Hessian trace and phase-return drift. Additionally, a four-source electrostatic model is developed to investigate the effects of localised surface potentials on modal electric-field responses. Parametric analysis reveals correlation-dependent suppression and enhancement of normalised response coefficients, with multipliers ranging from approximately 0.5 to 1.5. This study establishes a computational framework for investigating nanoscale inclined blade-electrode architectures, their motional characteristics, and surface-potential responses, while highlighting numerical convergence requirements for reliable three-dimensional trap characterisation.
ER -