Measurement of the Casimir force in a gas and in a liquid
Anne Le Cunuder (Phys-ENS), Artyom Petrosyan (Phys-ENS), Georges, Palasantzas, Vitaly Svetovoy, Sergio Ciliberto (Phys-ENS)

TL;DR
This study precisely measures the Casimir-Lifshitz force between gold surfaces in gas and liquid environments, highlighting the importance of electrostatic effects and optical properties for accurate theoretical comparisons.
Contribution
First simultaneous measurement of Casimir force in gas and liquid environments on the same sample, with detailed analysis of electrostatic effects and comparison with Lifshitz theory.
Findings
Electrostatic double-layer forces significantly affect measurements in liquids.
Accurate optical properties are crucial for matching experimental data with theory at short separations.
Casimir force measurements vary with environment and require careful correction for electrostatic effects.
Abstract
We present here detailed measurements of the Casimir-Lifshitz force between two gold surfaces, performed for the first time in both gas (nitrogen) and liquid (ethanol) enviroments with the same apparatus and on the same spot of the sample. Furthermore, we study the role of double-layer forces in the liquid, and we show that these electrostatic effects are important. The later contributions were precisely subtracted to recover the genuine Casimir force, and the experimental results are compared with calculations using Lifshitz theory. Our measurements demonstrate that a carefull account of the actual optical properties of the surfaces is necessary for an accurate comparison with the Lifshitz theory predictions at short separations of less than ${200}\si{\nano\meter}
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