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arXiv:1603.06244 · Physical Review Applied

Comparative Numerical Studies of Ion Traps with Integrated Optical Cavities

Nina Podoliak, Hiroki Takahashi, Matthias Keller, Péter Horák

Published Oct 17, 2016• 13 citations
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Abstract

Integrating an optical cavity into a radio-frequency ion trap yields an ideal building block for quantum information networks or quantum computers. Unfortunately, it also jeopardizes the trap's stability. The authors compare the advantages and disadvantages of known ion-trap geometries and cavity configurations, and identify general features of the geometries best suited to developing a scalable network. This comprehensive study is an essential step in the development of tomorrow's secure quantum networks.

DOI
10.1103/physrevapplied.6.044008

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Integrating an optical cavity into a radio-frequency ion trap yields an ideal building block for quantum information networks or quantum computers. Unfortunately, it also jeopardizes the trap's stability. The authors compare the advantages and disadvantages of known ion-trap geometries and cavity configurations, and identify general features of the geometries best suited to developing a scalable network. This comprehensive study is an essential step in the development of tomorrow's secure quantum networks.
We study a range of radio-frequency ion trap geometries and investigate the effect of integrating dielectric cavity mirrors on their trapping potential using numerical modelling. We compare five different ion trap geometries with the aim to identify ion trap and cavity configurations that are best suited for achieving small cavity volumes and thus large ion-photon coupling as required for scalable quantum information networks. In particular, we investigate the trapping potential distortions caused by the dielectric material of the cavity mirrors in all 3 dimensions for different mirror orientations with respect to the trapping electrodes. We also analyze the effect of the mirror material properties such as dielectric constants and surface conductivity, and study the effect of surface charges on the mirrors. As well as perfectly symmetric systems, we also consider traps with optical cavities that are not centrally aligned where we find a spatial displacement of the trap centre and asymmetry of the resulting trap only at certain cavity orientations. The best trapcavity configurations with the smallest trapping potential distortions are those where the cavities are aligned along the major symmetry axis of the electrode geometries. These cavity configurations also appear to be the most stable with respect to any mirror misalignment. Although we consider particular trap sizes in our study, the presented results can be easily generalized and scaled to different trap dimensions.
The realisation of efficient ion-photon quantum interfaces is an essential step towards developing operational quantum information networks. Individual trapped ions have been shown as promising candidates for quantum information processing nodes, while effective ion manipulation and photonic links between nodes can be realised by deterministic coupling of ions to optical cavities. However, integrating optical cavities into ion traps remains a challenge as the trapping potential is affected by the presence of any dielectric or conductor.
Combining optical cavities with trapped atomic ions is a powerful tool to investigate the interaction of light with matter on the most fundamental scale: a single atom with a single particle of light. Recent advances have not only demonstrated the emission of single photons, ion-photon entanglement and ion-ion entanglement but paved the way to use these systems in modern quantum technologies. Ion-cavity systems are now one of the most promising technologies for realising a scalable quantum computer and quantum networks. While the integration of optical cavities and ion traps is challenging, new techniques and technologies made it possible to demonstrate important building blocks for such systems.
Ion traps and optical tweezers have emerged as highly promising technologies in the development of quantum computing, enabling precise control over qubits through electromagnetic and optical confinement. This paper explores the fundamental principles, advantages, and limitations of ion traps, including Paul and Penning configurations, and evaluates their role in modern quantum architectures. Particular emphasis is placed on coherence time, fidelity, and all-to-all connectivity, which make trapped ions a leading qubit candidate despite challenges in scalability and optical complexity. The work also examines optical tweezers, which use tightly focused laser beams to trap and manipulate ions and atoms with high precision, facilitating scalable arrays of qubits. Furthermore, hybrid traps that integrate optical tweezers with Paul traps are discussed as promising solutions to mitigate Radio-Frequency (RF) micromotion and enhance stability for cold ion–atom systems. Python-based simulations are presented to illustrate ion dynamics under Brownian motion, electric fields, and Gaussian laser traps, demonstrating how trap strength directly affects oscillation amplitude and confinement. Results confirm that stronger optical potentials reduce oscillation amplitude, while weaker traps lead to ion escape, aligning with theoretical predictions. Overall, this study highlights how the interplay of electromagnetic and optical techniques advances the frontier of quantum information science, with direct implications for computation, communication, and simulation.