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Physica Scripta

Mitigation of dielectric heating in surface-electrode ion traps

Hongyang Wang, Yi Xie, Yi Tao, Wei Wu, Ping-Xing Chen, Ting Chen

Published Jun 26, 2026• 0 citations
Publisher

Abstract

Abstract Ions in surface-electrode ion traps are susceptible to heating due to various noise sources, which can degrade coherence and fidelity. This study investigates the heating mechanisms in surface-electrode ion traps, with a focus on the role of dielectric materials and the effectiveness of shielding techniques. Using the fluctuation-dissipation theorem and finite element simulations, we demonstrate that a metallic shielding layer beneath the dielectric layer can reduce the heating rate by five orders of magnitude. Additionally, indenting the dielectric layer supporting the electrodes further decreases the heating rate by minimizing the exposed area in the ion’s field of view. Experimental results validate these findings, showing a three-order-of-magnitude reduction in heating rates for traps with a shielding layer. Our work provides a comprehensive methodology for assessing and minimizing dielectric heating, offering practical design insights for improving the performance of trapped ion quantum systems.

DOI
10.1088/1402-4896/ae8338

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Abstract Ions in surface-electrode ion traps are susceptible to heating due to various noise sources, which can degrade coherence and fidelity. This study investigates the heating mechanisms in surface-electrode ion traps, with a focus on the role of dielectric materials and the effectiveness of shielding techniques. Using the fluctuation-dissipation theorem and finite element simulations, we demonstrate that a metallic shielding layer beneath the dielectric layer can reduce the heating rate by five orders of magnitude. Additionally, indenting the dielectric layer supporting the electrodes further decreases the heating rate by minimizing the exposed area in the ion’s field of view. Experimental results validate these findings, showing a three-order-of-magnitude reduction in heating rates for traps with a shielding layer. Our work provides a comprehensive methodology for assessing and minimizing dielectric heating, offering practical design insights for improving the performance of trapped ion quantum systems.
Large surface-electrode ion traps with multiple trapping regions and junctions are a natural approach to scaling trapped ion quantum computers, supporting the connectivity and ion counts necessary for complex quantum algorithms. However, a major hurdle in this scaling is on-chip power dissipation from the applied RF voltage, which increases at a rate between linear and cubic relative to trap size, depending on whether the losses are dielectric or Ohmic. Here, we present two versions of a trap with features designed to reduce both types of RF power dissipation. The first variant contains a raised RF electrode that increases the electrode–ground distance to reduce capacitance. Different DC voltage sources are demonstrated on this trap to show that technical noise before the filter remains the dominant source of voltage noise and therefore motional heating. The second variant additionally includes a method for removing dielectric from beneath the RF electrode to further reduce dielectric losses. These traps were demonstrated at room temperature with 40Ca+ ions. The similar heating rates and heating rate axial frequency dependencies between 2.4 and 3.0 MHz illustrate that this dielectric modification is not detrimental to trap performance.
We report heating rate measurements in a microfabricated gold-on-sapphire surface electrode ion trap with a trapping height of approximately 240 μm. Using the Doppler recooling method, we characterize the trap heating rates over an extended region of the trap. The noise spectral density of the trap falls in the range of noise spectra reported in ion traps at room temperature. We find that during the first months of operation, the heating rates increase by approximately one order of magnitude. The increase in heating rates is largest in the ion-loading region of the trap, providing a strong hint that surface contamination plays a major role for excessive heating rates. We discuss data found in the literature and the possible relation of anomalous heating to sources of noise and dissipation in other systems, namely impurity atoms adsorbed onto metal surfaces and amorphous dielectrics.
Surface ion traps with two-dimensional layouts of trapping regions are natural architectures for storing large numbers of ions and supporting the connectivity needed to implement quantum algorithms. Many of the components and operations needed to fully exploit this architecture have already been demonstrated, including operation at cryogenic temperatures with low heating, low excitation transport, and ion control and detection with integrated photonics. Here we demonstrate a trap that addresses the scaling challenge of increasing power dissipation as the RF electrode increases in size. By raising the RF electrode and removing most of the insulating dielectric layer below it we reduce both ohmic and dielectric power dissipation. We also measure heating rates across a range of motional frequencies and for different voltage sources in a trap with a raised RF electrode but solid dielectric.
Electric-field noise in microfabricated surface ion traps contributes to gate errors in trapped-ion quantum computers, but this noise has been challenging to predict. Here, we present a method to predict the electric-field noise arising from fluctuations in the bulk of dielectric and metallic materials. The method is valid for arbitrary trap geometries, and the only relevant material property is energy loss. We apply it to an ion trap with an electrically floating electrode and find the contribution from dielectrics to be dominant. Our model predicts the observed noise for this trap within a factor of four. In addition, we apply our model to typical surface trap designs and analyze how the electrode structures shield the noise.
The electric-field noise above a layered structure composed of a planar metal electrode covered by a thin dielectric is evaluated and it is found that the dielectric film considerably increases the noise level, in proportion to its thickness. Importantly, even a thin (mono) layer of a low-loss dielectric can enhance the noise level by several orders of magnitude compared to the noise above a bare metal. Close to this layered surface, the power spectral density of the electric field varies with the inverse fourth power of the distance to the surface, rather than with the inverse square, as it would above a bare metal surface. Furthermore, compared to a clean metal, where the noise spectrum does not vary with frequency (in the radio-wave and microwave bands), the dielectric layer can generate electric-field noise which scales in inverse proportion to the frequency. For various realistic scenarios, the noise levels predicted from this model are comparable to those observed in trapped-ion experiments. Thus, these findings are of particular importance for the understanding and mitigation of unwanted heating and decoherence in miniaturized ion traps.
Electric-field noise is a major source of motional heating in trapped-ion quantum computation. While the influence of trap-electrode geometries on electric-field noise has been studied in patch potential and surface adsorbate models, only smooth surfaces are accounted for by current theory. The effects of roughness, a ubiquitous feature of surface electrodes, are poorly understood. We investigate its impact on electric-field noise by deriving a rough-surface Green's function and evaluating its effects on adsorbate-surface binding energies. At cryogenic temperatures, heating-rate contributions from adsorbates are predicted to exhibit an exponential sensitivity to local surface curvature, leading to either a large net enhancement or suppression over smooth surfaces. For typical experimental parameters, orders-of-magnitude variations in total heating rates can occur depending on the spatial distribution of adsorbates. Through careful engineering of electrode surface profiles, our results suggests that heating rates can be tuned over orders of magnitudes.