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arXiv · 2610.38936

Theoretical Study of Classical Dynamics of Electron in Two-Frequency Paul Trap

Payman Mahmoudi·Michal Tarana·Michal Hejduk
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Abstract

We present a theoretical study of trapping an electron in a two-frequency Paul trap, motivated by future hybrid architecture consisting of a doubly charged calcium ion (Ca$^{2+}$) and an electron. By isolating the electron from ionic-electron interactions, we formulate the equations of motion for the electron in the time-dependent trap potentials and cast them in the Hill form. Stability and dynamics are then analysed in terms of the dimensionless q-parameters, which encode the applied voltages, drive frequencies, trap geometry, and the particle's charge-to-mass ratio. Under the combined action of the two radio-frequency fields, the trapped electron's classical motion is shown to be approximated well by a slow secular oscillation modulated by two distinct motion sidebands originating from the low- and high-frequency RF drives. The approximation method presented here enables a quick evaluation of the relation between the device-design q-parameters and the electron motion. It offers a crucial foundation for developing physical models of electron-ion interactions in electron-ion traps.

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Payman Mahmoudi, Michal Tarana, Michal Hejduk. 2026-10-28. Theoretical Study of Classical Dynamics of Electron in Two-Frequency Paul Trap. https://arxiv.org/abs/2610.38936

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