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We consider the thermal Casimir effect in systems of parallel plates coupled to a mass-less free field theory via quadratic interaction terms which suppress (i) the field on the plates (ii) the gradient of the field in the plane of the…

Statistical Mechanics · Physics 2009-01-27 David S. Dean

We present a fully microscopics-based calculation of the Casimir effect in a nonequilibrium system, namely an energy flux driven quantum XX chain. The force between the walls (transverse-field impurities) is calculated in a nonequilibrium…

Statistical Mechanics · Physics 2015-05-18 Diego Luis Gonzalez Cabrera , Zoltan Racz , Frederic van Wijland

We compare theoretical expectations for the Casimir force with the results of precise measurements. The force is calculated at finite temperature for multilayered covering of the bodies using the Lifshitz theory. We argue that the…

Quantum Physics · Physics 2007-05-23 V. B. Svetovoy , M. V. Lokhanin

The Casimir energy is computed in the geometry of interest for the most precise experiments, a plane and a sphere in electromagnetic vacuum. The scattering formula is developed on adapted plane-waves and multipole basis, leading to an…

Quantum Physics · Physics 2008-07-31 Paulo A. Maia Neto , Astrid Lambrecht , Serge Reynaud

The Casimir effect in an inhomogeneous dielectric is investigated using Lifshitz's theory of electromagnetic vacuum energy. A permittivity function that depends continuously on one Cartesian coordinate is chosen, bounded on each side by…

Quantum Physics · Physics 2015-05-14 T. G. Philbin , C. Xiong , U. Leonhardt

We investigate the Casimir force acting between real metals at nonzero temperature. It is shown that the zero-frequency term of Lifshitz formula has interpretation problem in the case of real metal described by Drude model. It happens…

Quantum Physics · Physics 2009-11-07 G. L. Klimchitskaya , V. M. Mostepanenko

The Casimir energies and pressures for a massless scalar field associated with $\delta$-function potentials in 1+1 and 3+1 dimensions are calculated. For parallel plane surfaces, the results are finite, coincide with the pressures…

High Energy Physics - Theory · Physics 2008-11-26 Kimball A. Milton

We consider the Casimir interaction between a cylinder and a hollow cylinder, both conducting, with parallel axis and slightly different radii. The Casimir force, which vanishes in the coaxial situation, is evaluated for both small and…

We discuss recent experimental and theoretical results on the Casimir force between real material bodies made of different materials. Special attention is paid to calculations of the normal Casimir force acting perpendicular to the surface…

Quantum Physics · Physics 2011-03-10 G. L. Klimchitskaya

The force on a small sphere with a plasma model dielectric function and in the presence of a perfectly reflecting plane is considered. The contribution of both the vacuum modes of the quantized electromagnetic field and of plasmon modes in…

Quantum Physics · Physics 2009-11-13 L. H. Ford

Non-Commutative space-time introduces a fundamental length scale suggested by approaches to quantum gravity. Here we report the analysis of the Casimir effect for parallel plates separated by a distance of $L$ using a Lorentz invariant…

High Energy Physics - Theory · Physics 2024-02-08 E. Harikumar , Suman Kumar Panja

We study the electrostatic Casimir effect and related phenomena in equilibrium statistical mechanics of classical (non-quantum) charged fluids. The prototype model consists of two identical dielectric slabs in empty space (the pure Casimir…

Statistical Mechanics · Physics 2009-11-10 B. Jancovici , L. Samaj

We discuss repulsive Casimir forces between dielectric materials with non trivial magnetic susceptibility. It is shown that considerations based on naive pair-wise summation of Van der Waals and Casimir Polder forces may not only give an…

Quantum Physics · Physics 2009-11-07 O. Kenneth , I. Klich , A. Mann , M. Revzen

We demonstrate the Casimir interaction between two ferromagnetic boundary surfaces using the dynamic atomic force microscope. The experimental data are found to be in excellent agreement with the predictions of the Lifshitz theory for…

Other Condensed Matter · Physics 2013-04-01 A. A. Banishev , G. L. Klimchitskaya , V. M. Mostepanenko , U. Mohideen

In this work, we consider a torque caused by the well known quantum mechanical Casimir effect arising from quantized field fluctuations between plates with inhomogeneous, sharply discontinuous, dielectric properties. While the Casimir…

High Energy Physics - Theory · Physics 2014-04-18 William Long , Lucas Schuermann

We report precision measurements of the Casimir interaction at larger separation distances between the Au-coated surfaces of a sphere and a plate in ultrahigh vacuum using a much softer cantilever of the dynamic atomic force…

Quantum Physics · Physics 2019-12-04 Mingyue Liu , Jun Xu , G. L. Klimchitskaya , V. M. Mostepanenko , U. Mohideen

Multiple scattering formulations have been employed for more than 30 years as a method of studying the quantum vacuum or Casimir interactions between distinct bodies. Here we review the method in the simple context of $\delta$-function…

High Energy Physics - Theory · Physics 2008-11-26 Kimball A. Milton , Jef Wagner

The low-temperature behavior of the Casimir-Polder free energy and entropy for an atom near a dielectric plate are found on the basis of the Lifshitz theory. The obtained results are shown to be thermodynamically consistent if the dc…

Quantum Physics · Physics 2009-11-13 G. L. Klimchitskaya , U. Mohideen , V. M. Mostepanenko

The energy of fluctuating electromagnetic field is investigated for the thermal Casimir force acting between parallel plates made of real metal. It is proved that for nondissipative media with temperature independent dielectric permittivity…

Quantum Physics · Physics 2009-11-07 V. B. Bezerra , G. L. Klimchitskaya , V. M. Mostepanenko

We extend the Lifshitz theory of the Casimir force to the case of two parallel magnetic metal plates possessing a spatially nonlocal dielectric response. By solving Maxwell equations in the configuration of an electromagnetic wave incident…

Quantum Physics · Physics 2021-10-13 G. L. Klimchitskaya , V. M. Mostepanenko
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