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We study the thermal Casimir effect between two thick slabs composed of plane-parallel layers of random dielectric materials interacting across an intervening homogeneous dielectric. It is found that the effective interaction at long…

Disordered Systems and Neural Networks · Physics 2015-05-13 D. S. Dean , R. R. Horgan , A. Naji , R. Podgornik

Recent experiments on the wetting of $^{4}$He have shown that the film becomes thinner at the $\lambda$ transition, and in the superfluid phase. The difference in thickness above and below the transition has been attributed to a Casimir…

Statistical Mechanics · Physics 2009-11-10 Roya Zandi , Joseph Rudnick , Mehran Kardar

The Casimir force between bodies in vacuum can be understood as arising from their interaction with an infinite number of fluctuating electromagnetic quantum vacuum modes, resulting in a complex dependence on the shape and material of the…

The prototypical Casimir effect arises when a scalar field is confined between parallel Dirichlet boundaries. We study corrections to this when the boundaries themselves have apertures and edges. We consider several geometries: a single…

High Energy Physics - Theory · Physics 2011-11-02 Daniel Kabat , Dimitra Karabali , V. P. Nair

Recent measurements of Casimir forces have provided evidence of an intricate modification of quantum fluctuations of the electromagnetic field in complex geometries. Here we introduce a multiple scattering description for Casimir…

Quantum Physics · Physics 2023-05-24 Thorsten Emig , Giuseppe Bimonte

The static Casimir effect concerns quantum electrodynamic induced Lamb shifts in the mode frequencies and thermal free energies of condensed matter systems. Sometimes, the condensed matter constitutes the boundaries of a vacuum region. The…

Quantum Physics · Physics 2009-11-11 Y. N. Srivastava , A. Widom , S. Sivasubramanian , M. Pradeep Ganesh

The thermal Casimir force between two metallic plates is known to depend on the description of material properties. For large separations the dissipative Drude model leads to a force a factor of 2 smaller than the lossless plasma model.…

Quantum Physics · Physics 2010-04-30 Antoine Canaguier-Durand , Paulo A Maia Neto , Astrid Lambrecht , Serge Reynaud

We establish strict upper limits for the Casimir interaction between multilayered structures of arbitrary dielectric or diamagnetic materials. We discuss the appearance of different power laws due to frequency-dependent material constants.…

Quantum Physics · Physics 2009-11-10 Carsten Henkel , Karl Joulain

Recent work by Jaffe and Scardicchio has expressed the optical approximation to the Casimir effect as a sum over geometric quantities. The first two authors have developed a technique which uses the complex geometry of the space of oriented…

Differential Geometry · Mathematics 2009-11-10 Brendan Guilfoyle , Wilhelm Klingenberg , Siddhartha Sen

We have performed comparative measurements of the Casimir force between a metallic plate and a transparent sphere coated with metallic films of different thicknesses. We have observed that, if the thickness of the coating is less than the…

Quantum Physics · Physics 2009-11-11 Mariangela Lisanti , Davide Iannuzzi , Federico Capasso

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

A diffraction problem for a flat Chern-Simons layer at plane boundary of a dielectric half space is solved. The Casimir energy of two dielectric half spaces with Chern-Simons layers at plane-parallel boundaries separated by a vacuum slit is…

Mesoscale and Nanoscale Physics · Physics 2019-02-19 Valery N. Marachevsky

The Casimir effect is investigated in light-cone quantization. It is shown that for spacelike separation of the walls enclosing the system the standard result for the pressure exerted on the walls is obtained. For walls separated in…

High Energy Physics - Theory · Physics 2009-11-07 F. Lenz , D. Steinbacher

We study the finite temperature Casimir effect on a pair of parallel perfectly conducting plates in Randall-Sundrum model without using scalar field analogy. Two different ways of interpreting perfectly conducting conditions are discussed.…

High Energy Physics - Theory · Physics 2014-11-21 L. P. Teo

Casimir interactions between macroscopic objects are strongly influenced by their geometrical features as shape and orientation as well as by their material properties. The effect of geometry is commonly obtained from the proximity…

Statistical Mechanics · Physics 2007-05-23 Thorsten Emig

We study collective interaction effects that result from the change of free quantum electrodynamic field fluctuations by one- and two-dimensional perfect metal structures. The Casimir interactions in geometries containing plates and…

Statistical Mechanics · Physics 2014-11-18 Sahand Jamal Rahi , Thorsten Emig , Robert L. Jaffe , Mehran Kardar

We present the basic principles of non-local optics in connection with the calculation of the Casimir force between half-spaces and thin films. At currently accessible distances $L$, non-local corrections amount to about half a percent, but…

Quantum Physics · Physics 2009-11-11 R Esquivel-Sirvent , C Villarreal , W L Mochán , A M Contreras-Reyes , V B Svetovoy

We employ path integral methods to calculate the Casimir energy and force densities in a chiral extension of QED. Manifestly gauge invariant perfect electromagnetic boundary conditions, a natural generalization of perfect electric and…

High Energy Physics - Theory · Physics 2023-02-10 Fabrizio Canfora , David Dudal , Thomas Oosthuyse , Pablo Pais , Luigi Rosa

When one studies the Casimir effect, the periodic (anti-periodic) boundary condition is usually taken to mimic a periodic (anti-periodic) structure for a scalar field living in a flat space with a non-Euclidean topology. However, there…

High Energy Physics - Theory · Physics 2014-01-07 Chao-Jun Feng , Xin-Zhou Li , Xiang-Hua Zhai

The quantum vacuum (Casimir) energy arising from noninteracting massless quanta is known to induce a long-range force, while decays exponentially for massive fields and separations larger than the inverse mass of the quanta involved. Here,…

High Energy Physics - Theory · Physics 2021-07-07 Antonino Flachi , Vincenzo Vitagliano