A Feedback Control Method to Maintain the Amplitude of the RF Signal Applied to Ion Traps

For high-fidelity quantum operations in ion traps, it is important to maintain the secular frequency of the trapped ions at a constant value. The radial secular frequency is proportional to the amplitude of the radio frequency (RF) signal applied to ion traps. Owing to the changes in the ambient tem...

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Main Authors: Yunjae Park, Hyunseok Oh, Seungwoo Yoo, Taehyun Kim, Dongil “Dan” Cho
Format: Article
Language:English
Published: MDPI AG 2021-01-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/11/2/837
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author Yunjae Park
Hyunseok Oh
Seungwoo Yoo
Taehyun Kim
Dongil “Dan” Cho
author_facet Yunjae Park
Hyunseok Oh
Seungwoo Yoo
Taehyun Kim
Dongil “Dan” Cho
author_sort Yunjae Park
collection DOAJ
description For high-fidelity quantum operations in ion traps, it is important to maintain the secular frequency of the trapped ions at a constant value. The radial secular frequency is proportional to the amplitude of the radio frequency (RF) signal applied to ion traps. Owing to the changes in the ambient temperature of a helical resonator and the minute vibration of the optical table, the amplitude can vary. Recently, a method for reducing the fluctuation in the RF signal amplitude, using a commercial universal proportional-plus-integral (PI) controller, has been introduced, which, in turn, reduces the secular frequency drift of the trapped ions. The method improves the capability to maintain the secular frequency at a constant value. However, the structure of the controller is fixed; thus, the control method cannot be changed to suit different experimental conditions, and the different feedback configuration cannot be implemented to increase the resolution. In this paper, we develop a field-programmable gate array (FPGA)-based feedback controller that allows the implementation of various automatic control methods and feedback configurations. In our experiments, the fluctuation in the amplitude of the RF signal was 1.806% using a commercial universal PI controller. The fluctuation was reduced to 0.099% using the developed FPGA-based PI controller, and to 0.102% using the developed FPGA-based lag compensator. By employing the developed FPGA control method, many other automating control methods can be applied to achieve a stable and high-performance control of the secular frequency.
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spelling doaj.art-05cb394d9e4b44a8a5cb731ac301c74e2023-12-03T13:36:09ZengMDPI AGApplied Sciences2076-34172021-01-0111283710.3390/app11020837A Feedback Control Method to Maintain the Amplitude of the RF Signal Applied to Ion TrapsYunjae Park0Hyunseok Oh1Seungwoo Yoo2Taehyun Kim3Dongil “Dan” Cho4Department of Electrical and Computer Engineering, Seoul National University, Seoul 08826, KoreaDepartment of Physics and Astronomy, Seoul National University, Seoul 08826, KoreaDepartment of Computer Science and Engineering, Seoul National University, Seoul 08826, KoreaAutomation and Systems Research Institute, Seoul 08826, KoreaDepartment of Electrical and Computer Engineering, Seoul National University, Seoul 08826, KoreaFor high-fidelity quantum operations in ion traps, it is important to maintain the secular frequency of the trapped ions at a constant value. The radial secular frequency is proportional to the amplitude of the radio frequency (RF) signal applied to ion traps. Owing to the changes in the ambient temperature of a helical resonator and the minute vibration of the optical table, the amplitude can vary. Recently, a method for reducing the fluctuation in the RF signal amplitude, using a commercial universal proportional-plus-integral (PI) controller, has been introduced, which, in turn, reduces the secular frequency drift of the trapped ions. The method improves the capability to maintain the secular frequency at a constant value. However, the structure of the controller is fixed; thus, the control method cannot be changed to suit different experimental conditions, and the different feedback configuration cannot be implemented to increase the resolution. In this paper, we develop a field-programmable gate array (FPGA)-based feedback controller that allows the implementation of various automatic control methods and feedback configurations. In our experiments, the fluctuation in the amplitude of the RF signal was 1.806% using a commercial universal PI controller. The fluctuation was reduced to 0.099% using the developed FPGA-based PI controller, and to 0.102% using the developed FPGA-based lag compensator. By employing the developed FPGA control method, many other automating control methods can be applied to achieve a stable and high-performance control of the secular frequency.https://www.mdpi.com/2076-3417/11/2/837helical resonatorfeedback controllerFPGAlag compensatorPI controller
spellingShingle Yunjae Park
Hyunseok Oh
Seungwoo Yoo
Taehyun Kim
Dongil “Dan” Cho
A Feedback Control Method to Maintain the Amplitude of the RF Signal Applied to Ion Traps
Applied Sciences
helical resonator
feedback controller
FPGA
lag compensator
PI controller
title A Feedback Control Method to Maintain the Amplitude of the RF Signal Applied to Ion Traps
title_full A Feedback Control Method to Maintain the Amplitude of the RF Signal Applied to Ion Traps
title_fullStr A Feedback Control Method to Maintain the Amplitude of the RF Signal Applied to Ion Traps
title_full_unstemmed A Feedback Control Method to Maintain the Amplitude of the RF Signal Applied to Ion Traps
title_short A Feedback Control Method to Maintain the Amplitude of the RF Signal Applied to Ion Traps
title_sort feedback control method to maintain the amplitude of the rf signal applied to ion traps
topic helical resonator
feedback controller
FPGA
lag compensator
PI controller
url https://www.mdpi.com/2076-3417/11/2/837
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