Abstract

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.

Highlights

  • Electric-field fluctuations above metal surfaces are a common problem in many areas of physics and a severe limitation to precision measurements as diverse as space-based gravitational-wave detectors [1], nanocantilevers probing dispersion forces [2], and the shielding of particle beams [3]

  • Ever since the observation of unexpectedly high heating rates [5] which could not be explained by the noise of the trapping circuitry, the role of the electric noise from surfaces in ion traps has attracted much experimental and theoretical attention

  • The analysis presented here shows that the presence of even a very thin dielectric can increase the absolute level of electric-field noise by several orders of magnitude compared to a bare metal surface

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Summary

February 2016

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. The noise levels predicted from this model are comparable to those observed in trapped-ion experiments. These findings are of particular importance for the understanding and mitigation of unwanted heating and decoherence in miniaturized ion traps

Introduction
Electric-field fluctuations for a charged particle
Losses in a thin dielectric layer
Calculation from fluctuation electrodynamics
Dielectric covering layer
Results for common electrode materials
Distance and frequency scaling of common materials
Outlook and summary
Full Text
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