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We analyze the possibility to measure small thermal effects in the Casimir force between metal test bodies in configurations of a sphere above a plate and two parallel plates. For sphere-plate geometry used in many experiments we…

Materials Science · Physics 2010-12-09 B. Geyer , G. L. Klimchitskaya , V. M. Mostepanenko

A recent experiment [J.L. Garrett et al., Phys. Rev. Lett {\bf 120}, 040401 (2018)] measured for the first time the gradient of the Casimir force between two gold spheres at room temperature. The theoretical analysis of the data was carried…

Quantum Physics · Physics 2018-04-16 Giuseppe Bimonte

The proximity force approximation (PFA) relates the interaction between closely spaced, smoothly curved objects to the force between parallel plates. Precision experiments on Casimir forces necessitate, and spur research on, corrections to…

Quantum Physics · Physics 2014-10-30 G. Bimonte , T. Emig , R. L. Jaffe , M. Kardar

We present calculations of the Casimir interaction between a sphere and a plane, using a multipolar expansion of the scattering formula. This configuration enables us to study the nontrivial dependence of the Casimir force on the geometry,…

We compute bounds and forecasts on screened modified gravity theories, specialising to the chameleon model in Casimir force experiments. In particular, we investigate the classical interaction between a plate and sphere subject to a…

General Relativity and Quantum Cosmology · Physics 2023-04-26 Philippe Brax , Anne-Christine Davis , Benjamin Elder

In this paper aiming to obtain the Casimir energy between a sinusoidally corrugated sphere and a plate, we first present a derivation of the sphere-plate Casimir force obtained by applying proximity force approximation (PFA). One may…

Other Condensed Matter · Physics 2014-04-08 M. R. Setare , A. Seyedzahedi

We compute Casimir interaction energies for the sphere-plate and cylinder-plate configuration induced by scalar-field fluctuations with Dirichlet boundary conditions. Based on a high-precision calculation using worldline numerics, we…

Quantum Physics · Physics 2009-11-13 Holger Gies , Klaus Klingmuller

We comment on progress in measurements of the Casimir force and discuss what is the actual reliability of different experiments. In this connection a more rigorous approach to the usage of such concepts as accuracy, precision, and measure…

Quantum Physics · Physics 2015-05-20 G. L. Klimchitskaya , V. M. Mostepanenko

We review the relation between Casimir effect and geometry, emphasizing deviations from the commonly used Proximity Force Approximation (PFA). We use to this aim the scattering formalism which is nowadays the best tool available for…

Quantum Physics · Physics 2008-07-18 Serge Reynaud , Paulo A. Maia Neto , Astrid Lambrecht

The electromagnetic Casimir interaction between two spheres is studied within the scattering approach using the plane-wave basis. It is demonstrated that the proximity force approximation (PFA) corresponds to the specular-reflection limit…

The widely-adopted proximity-force approximation (PFA) to estimate normal Casimir forces is known to be asymptotically exact at vanishing separations. In this letter, we propose a correction to the PFA, which is sufficiently accurate in…

Optics · Physics 2019-01-30 F. Bao , K. Shi

A recent experiment [J. L. Garrett, D. A. T. Somers, and J. N. Munday, Phys. Rev. Lett {\bf 120}, 040401 (2018)] measured for the first time the gradient of the Casimir force between two gold spheres in vacuum at room temperature, and…

Quantum Physics · Physics 2018-11-12 Giuseppe Bimonte

Quantum fluctuations of the electromagnetic field in the medium surrounding two discharged macroscopic polarizable bodies induce a force between the two bodies, the so called Casimir force. In the last two decades many experiments have…

Quantum Physics · Physics 2017-08-02 Giuseppe Bimonte

Several problems at the interface between the field-theoretical description of the Casimir effect and experiments on measuring the Casimir force are discussed. One of these problems is connected with the definition of the Casimir free…

Quantum Physics · Physics 2010-04-21 V. M. Mostepanenko

We present an overview of the validity of the Proximity Force Approximation (PFA) in the calculation of Casimir forces between perfect conductors for different geometries, with particular emphasis for the configuration of a cylinder in…

Quantum Physics · Physics 2015-05-13 Francisco D. Mazzitelli , Fernando C. Lombardo , Paula I. Villar

We discuss the constraints on the parameters of a Yukawa interaction obtained from the indirect measurements of the Casimir pressure between parallel plates using the sphere-plate configuration. Recently, it was claimed in the literature…

Quantum Physics · Physics 2010-07-20 E. Fischbach , G. L. Klimchitskaya , D. E. Krause , V. M. Mostepanenko

We consider experiments on measuring the Casimir interaction which have been performed in the last four years. The emphasis is made on measuring differences in the Casimir pressures under a transition of the plate metal from normal to…

Quantum Physics · Physics 2020-02-06 G. L. Klimchitskaya , V. M. Mostepanenko

We calculate exactly the Casimir force between a spherical particle and a plane, both with arbitrary dielectric properties, in the non-retarded limit. Using a Spectral Representation formalism, we show that the Casimir force of a sphere…

Quantum Physics · Physics 2007-05-23 Cecilia Noguea , Carlos E. Roman-Velazquez

We investigate the nontrivial interplay between geometry and temperature in the Casimir effect for the sphere-plate and cylinder-plate configurations. At low temperature, the thermal contribution to the Casimir force is dominated by this…

High Energy Physics - Theory · Physics 2010-12-24 Alexej Weber , Holger Gies

The proximity force approximation (PFA) has been widely used as a tool to evaluate the Casimir force between smooth objects at small distances. In spite of being intuitively easy to grasp, it is generally believed to be an uncontrolled…

High Energy Physics - Theory · Physics 2018-07-19 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli
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