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Gradient of the Casimir force between Au surfaces of a sphere and a plate measured using an atomic force microscope in a frequency-shift technique

机译:使用原子力显微镜以频移技术测量的球体和板的Au表面之间的卡西米尔力梯度

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We present measurement results for the gradient of the Casimir force between an Au-coated sphere and an Au-coated plate obtained by means of an atomic force microscope operated in a frequency-shift technique. This experiment was performed at a pressure of 3 × 10~(-8) Torr with a hollow glass sphere of 41.3 μm radius. Special attention is paid to electrostatic calibrations, including the problem of electrostatic patches. All calibration parameters are shown to be separation independent after the corrections for mechanical drift are included. The gradient of the Casimir force was measured in two ways with applied compensating voltage to the plate and with different applied voltages and subsequent subtraction of electric forces. The obtained mean gradients are shown to be in mutual agreement and in agreement with previous experiments performed using a micromachined oscillator. The obtained data are compared with theoretical predictions of the Lifshitz theory including corrections beyond the proximity force approximation. An independent comparison with no fitting parameters demonstrated that the Drude model approach is excluded by the data at a 67% confidence level over the separation region from 235 to 420 nm. The theoretical approach using the generalized plasmalike model is shown to be consistent with the data over the entire measurement range. Corrections due to the nonlinearity of oscillator are calculated and the application region of the linear regime is determined. A conclusion is made that the results of several performed experiments call for a thorough analysis of the basics of the theory of dispersion forces.
机译:我们介绍了通过频移技术操作的原子力显微镜获得的Au涂层球体和Au涂层板之间的卡西米尔力梯度的测量结果。该实验在3×10〜(-8)Torr的压力下进行,半径为41.3μm的中空玻璃球。要特别注意静电校准,包括静电补丁问题。包括机械漂移校正后,所有校准参数均显示为独立于分离值。卡西米尔力的梯度是通过两种方式测量的:在板上施加补偿电压,在不同的施加电压下,随后减去力。所获得的平均梯度显示为相互一致,并且与使用微机械振荡器进行的先前实验一致。将获得的数据与Lifshitz理论的理论预测(包括超出逼近力近似值的校正)进行比较。在没有拟合参数的情况下进行的独立比较表明,在235至420 nm的分离区域中,在67%的置信度水平下,数据未排除Drude模型方法。使用广义等离子模型的理论方法显示与整个测量范围内的数据一致。计算由于振荡器的非线性引起的校正,并确定线性状态的应用区域。得出的结论是,进行的几次实验结果要求对色散力理论的基础进行彻底的分析。

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