Cold ions trapped in the vicinity of conductive surfaces experience heating of their oscillatory motion. Typically, the rate of this heating is orders of magnitude larger than expected from electric field fluctuations due to thermal motion of electrons in the conductors. This effect, known as anomalous heating, is not fully understood. One of the open questions is the heating rate’s dependence on the ion-electrode separation. We present a direct measurement of this dependence in an ion trap of simple planar geometry. The heating rates are determined by taking images of a single ${}^{172}{\mathrm{Yb}}^{+}$ ion’s resonance fluorescence after a variable heating time and deducing the trapped ion’s temperature from measuring its average oscillation amplitude. Assuming a power law for the heating rate versus ion-surface separation dependence, an exponent of $-3.79\pm 0.12$ is measured.

中文翻译：

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利用可变的离子表面间距测量平面离子阱中的异常加热

滞留在导电表面附近的冷离子会经历振荡运动的加热。通常，这种加热速率比由于导体中电子的热运动引起的电场波动所期望的要大几个数量级。尚未完全了解这种现象，即异常加热。尚未解决的问题之一是加热速率对离子电极间距的依赖性。我们提出了一种简单的平面几何形状的离子阱中对这种依赖性的直接测量。加热速率是通过拍摄单个图像来确定的${}^{172}{b}^{+}$可变加热时间后，离子的共振荧光，并通过测量其平均振荡幅度来推导所俘获离子的温度。假设加热速率与离子表面分离相关性的幂定律，则指数为$-3.79\pm 0.12$ 被测量。