An analytical approach to symmetry breaking in multipole RF-traps

Radio-frequency linear multipole traps have been shown to be very sensitive to mis-positioning of their electrodes, which results in a symmetry breaking and leads to extra local minima in the trapping potential [1] disturbing the operation of the trap. In this work, we analytically describe the RF-potential of a realistic octupole trap by including lower order terms to the well-established equation for a perfectly symmetric octupole trap. We describe the geometry by a combination of identified defects, characterised by simple analytical expressions. A complete equation is proposed for a trap with any electrode deviation relying on a combination of the simple cases where the defects are taken individually. Our approach is validated by comparison between analytical and numerical results for defect sizes up to 4% of the trap radius. As described in [2], an independent fine-tuning of the amplitude of the RF voltage applied on each electrode can be used to mitigate the geometrical defects of a realistic trap. In a different way than in [2], the knowledge of an analytical equation for the potential allows to design the set of RF-voltages required for this compensation, based on the experimental measurement of the ion position in the trap, without information concerning the exact position of each electrode, and with a small number of iterations. The requirements, performances and limitations of this protocol are discussed via comparison of numerical simulations and analytical results.

Keywords

radio-frequency traps multipole linear trap trap technology

Domains

Quantum Physics [quant-ph] Physics [physics]

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article_defects_octupole_v3_120321.pdf (740.86 Ko)

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https://amu.hal.science/hal-03066318

Submitted on : Friday, March 12, 2021-2:40:36 PM

Last modification on : Friday, March 24, 2023-2:53:21 PM

Dates and versions

hal-03066318 , version 1 (15-12-2020)

hal-03066318 , version 2 (12-03-2021)

Identifiers

HAL Id : hal-03066318 , version 2
ARXIV : 2012.08198
DOI : 10.1088/2058-9565/abeaf6

Cite

Marylise Marchenay, Jofre Pedregosa-Gutierrez, Martina Knoop, Marie Houssin, Caroline Champenois. An analytical approach to symmetry breaking in multipole RF-traps. Quantum Science and Technology, In press, special issue, 6 (2), pp.024016. ⟨10.1088/2058-9565/abeaf6⟩. ⟨hal-03066318v2⟩

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