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We have calculated dynamical Casimir-Polder interaction force between a moving ground state atom and a flat polarizable surface. The velocity of an atom can be close to the velocity of light. The material properties are taken into account…

Other Condensed Matter · Physics 2015-05-28 G. V. Dedkov , A. A. Kyasov

A novel approach for calculating Casimir forces between periodically deformed objects is developed. This approach allows, for the first time, a rigorous non-perturbative treatment of the Casimir effect for disconnected objects beyond…

Statistical Mechanics · Physics 2010-12-17 Thorsten Emig

Conventionally, dispersion forces mediated by quantum vacuum fluctuations are known to exhibit universal distance scalings, with retardation typically leading to a faster decay of the interaction. Here, we show that this expectation fails…

Quantum Physics · Physics 2026-02-02 Qihang Ye , Qihang Ye , Bing Miao , Lei Ying

We study the spatial fluctuations of the Casimir-Polder force experienced by an atom or a small sphere moved above a metallic plate at fixed separation distance. We demonstrate that unlike the mean force, the magnitude of these fluctuations…

Using a recently developed theory of the Casimir force (Raabe C and Welsch D-G 2005 Phys. Rev. A 71 013814), we calculate the force that acts on a plate in front of a planar wall and the force that acts on the plate in the case where the…

Quantum Physics · Physics 2009-11-11 Christian Raabe , Dirk-Gunnar Welsch

We apply a perturbative approach to evaluate the Casimir energy for a massless real scalar field in 3+1 dimensions, subject to Dirichlet boundary conditions on two surfaces. One of the surfaces is assumed to be flat, while the other…

High Energy Physics - Theory · Physics 2015-06-11 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

We study the scaling behaviour of dispersion potentials and forces under very general conditions. We prove that a rescaling of an arbitrary geometric arrangement by a factor a changes the atom-atom and atom-body potentials in the…

Quantum Physics · Physics 2010-03-22 Stefan Yoshi Buhmann , Stefan Scheel , James Babington

The lateral Casimir force, which arises between aligned sinusoidally corrugated surfaces of a sphere and a plate, was measured for the case of a small corrugation period beyond the applicability region of the proximity force approximation.…

Quantum Physics · Physics 2010-03-15 H. -C. Chiu , G. L. Klimchitskaya , V. N. Marachevsky , V. M. Mostepanenko , U. Mohideen

We derive upper and lower bounds on the Casimir--Polder force between an anisotropic dipolar body and a macroscopic body separated by vacuum via algebraic properties of Maxwell's equations. These bounds require only a coarse…

Quantum Physics · Physics 2020-05-27 Prashanth S. Venkataram , Sean Molesky , Pengning Chao , Alejandro W. Rodriguez

We develop the scattering approach to calculate the exact dispersive Casimir-Polder potential between a ground-state atom and a rectangular grating. Our formalism allows, in principle, for arbitrary values of the grating amplitude and…

A multiple scattering formulation is used to calculate the force, arising from fluctuating scalar fields, between distinct bodies described by $\delta$-function potentials, so-called semitransparent bodies. (In the limit of strong coupling,…

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

Casimir-Polder interactions are considered in an inhomogeneous, dispersive background. We consider both the interaction between a polarizable atom and a perfectly conducting wall, and between such an atom and a plane interface between two…

Quantum Physics · Physics 2019-03-19 Kimball A. Milton

Casimir forces are a manifestation of the change in the zero-point energy of the vacuum caused by the insertion of boundaries. We show how the Casimir force can be computed by consideration of the vacuum fluctuations that are suppressed by…

Statistical Mechanics · Physics 2007-12-13 Eugene B. Kolomeisky , Joseph P. Straley

Casimir forces are conventionally computed by analyzing the effects of boundary conditions on a fluctuating quantum field. Although this analysis provides a clean and calculationally tractable idealization, it does not always accurately…

High Energy Physics - Theory · Physics 2008-11-26 N. Graham , R. L. Jaffe , V. Khemani , M. Quandt , O. Schroeder , H. Weigel

The Casimir-Polder interaction potential is evaluated for a polarizable microparticle and a conducting wall in the geometry of a cosmic string perpendicular to the wall. The general case of the anisotropic polarizability tensor for the…

High Energy Physics - Theory · Physics 2012-09-20 E. R. Bezerra de Mello , V. B. Bezerra , H. F. Mota , A. A. Saharian

We present a simple formalism for the evaluation of the Casimir energy for two spheres and a sphere and a plane, in case of a scalar fluctuating field, valid at any separations. We compare the exact results with various approximation…

High Energy Physics - Theory · Physics 2007-05-23 Aurel Bulgac , Piotr Magierski , Andreas Wirzba

We investigate the Casimir force between two dissimilar plane mirrors the material properties of which are described by Drude or Lorentz models. We calculate analytically the short and long distance asymptote of the force and relate its…

Quantum Physics · Physics 2008-12-18 A. Lambrecht , I. G. Pirozhenko

Dispersion forces such as van der Waals forces between two microscopic particles, the Casimir--Polder forces between a particle and a macroscopic object or the Casimir force between two dielectric objects are well studied in vacuum.…

Casimir forces are a manifestation of the change in the zero-point energy of the vacuum caused by the insertion of boundaries. We show how the Casimir force can be efficiently computed by consideration of the vacuum fluctuations that are…

Statistical Mechanics · Physics 2008-07-31 Eugene B. Kolomeisky , Joseph P. Straley

We study the lateral Casimir force experienced by a particle that rotates near a planar surface. The origin of this force lies in the symmetry breaking induced by the particle rotation in the vacuum and thermal fluctuations of its dipole…