Possibility of measuring the thermal Casimir interaction between a plate and a cylinder attached to a micromachined oscillator

Details Possibility of measuring the thermal Casimir interaction between a plate and a cylinder attached to a micromachined oscillator Possibility of measuring the thermal Casimir interaction between a plate and a cylinder attached to a micromachined oscillator

2010-09-29

arxiv.org/abs/1009.5982v2

Phys.Rev.A82:052515,2010

Physics

Quantum Physics

29 pages, 4 figures, 1 table; minor additions are made in accordance to the version accepted for publication; to appear in Phy

Scientific paper

We investigate the possibility of measuring the thermal Casimir force and its gradient in the configuration of a plate and a microfabricated cylinder attached to a micromachined oscillator. The Lifshitz-type formulas in this configuration are derived using the proximity force approximation. The accuracy for the obtained expressions is determined from a comparison with exact results available in ideal metal case. Computations of the thermal correction to both the Casimir force and its gradient are performed in the framework of different theoretical approaches proposed in the literature. The correction to the Casimir force and its gradient due to lack of parallelism of the plate and cylinder is determined using the nonmultiplicative approach. The error introduced in the theory due to the finite length of the cylinder is estimated. We propose that both static and dynamic experiments measuring the thermal Casimir interaction between a cylinder and a plate using a micromachined oscillator can shed additional light on the thermal Casimir force problem. Specifically, it is shown that the static experiment is better adapted for the measurement of thermal effects.

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