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The Casimir-Polder-Lifshitz force felt by an atom near the surface of a substrate is calculated out of thermal equilibrium in terms of the dielectric function of the material and of the atomic polarizability. The new force decays like…

Statistical Mechanics · Physics 2007-05-23 Mauro Antezza , Lev P. Pitaevskii , Sandro Stringari

We determine exactly the non-retarded Casimir-Polder interaction between a neutral but polarizable particle and a perfectly reflecting sheet containing a circular hole. The calculation reveals a strong dependence of the interaction on the…

Atomic Physics · Physics 2015-03-19 Claudia Eberlein , Robert Zietal

When the vacuum is partitioned by material boundaries with arbitrary shape, one can define the zero-point energy and the free energy of the electromagnetic waves in it: this can be done, independently of the nature of the boundaries, in the…

Quantum Physics · Physics 2007-05-23 Roger Balian , Bertrand Duplantier

We consider the dynamical atom-surface Casimir-Polder force in the non-equilibrium configuration of an atom near a perfectly conducting wall, initially prepared in an excited state with the field in its vacuum state. We evaluate the…

We consider the Casimir effect of a massive vector field between two semi-infinite dielectric slabs. We first derive the generalization of the Lifshitz formula that gives the Casimir interaction energy of two magnetodielectric slabs…

Quantum Physics · Physics 2015-06-05 L. P. Teo

A new concise method is presented for the calculation of the ground-state energy of the electromagnetic field and matter field interacting system. With the assumption of squeezed-like state, a new vacuum state is obtained for the…

Atomic Physics · Physics 2007-05-23 Li Tongzhong

Within the framework of the (3+1)-dimensional Lorentz-violating extended electrodynamics including the CPT-odd Chern-Simons term, we consider the electromagnetic field between the two parallel perfectly conducting plates. We find the…

High Energy Physics - Theory · Physics 2010-04-06 O. G. Kharlanov , V. Ch. Zhukovsky

We investigate the temperature dependence of the Casimir-Polder interaction in the electrostatic limit. This unusual phenomenon relies on the coupling between a virtual atomic transition and a thermal excitation of surface polariton modes.…

We take a closer look at the fundamental Casimir-Polder interaction between quantum particles and dispersive dielectric surfaces with surface polariton or plasmon resonances. Linear response theory shows that in the near field, van der…

Atomic Physics · Physics 2015-06-11 A. Laliotis , M. Ducloy

We consider the Casimir-Polder interaction between a two-level atomic system and a Chern insulator for both the resonant and nonresonant channels. For a right circularly polarized excited atomic state near a Chern insulator with a negative…

Quantum Physics · Physics 2025-03-21 Bing-Sui Lu

The Casimir energy of a dilute homogeneous nonmagnetic dielectric ball at zero temperature is derived analytically for the first time for an arbitrary physically possible frequency dispersion of dielectric permittivity $\epsilon(i\omega)$.…

High Energy Physics - Theory · Physics 2009-11-07 Valery N. Marachevsky

We determine the energy-level shift experienced by a neutral atom due the quantum electromagnetic interaction with a layered dielectric body. We use the technique of normal-mode expansion to quantize the electromagnetic field in the…

Quantum Physics · Physics 2011-03-15 Claudia Eberlein , Robert Zietal

In this paper, we study the Casimir effect in the classical geometry of two parallel conducting plates, separated by a distance $L$, due to the presence of a minimal length $\lambda$ arising from a background independent (polymer)…

High Energy Physics - Phenomenology · Physics 2020-02-26 C. A. Escobar , E. Chan-López , A. Martín-Ruiz

The Casimir-Polder (CP) effect -- the force between a neutral atom and an uncharged conducting plate in empty space -- is an intriguing consequence of quantum vacuum fluctuations. The typically attractive CP potential crosses over from a…

Quantum Physics · Physics 2026-04-17 K. Ton , G. Kestler , D. A. Steck , J. T. Barreiro

We use a functional approach to evaluate the Casimir free energy for a self-interacting scalar field in $d+1$ dimensions, satisfying Dirichlet boundary conditions on two parallel planes. When the interaction is turned off, exact results for…

High Energy Physics - Theory · Physics 2008-09-16 Claudio Ccapa Ttira , Cesar D. Fosco

We consider the resonant Casimir-Polder interaction of an excited alkali-type atom which has a single (electric dipole) transition with a Chern insulator. The Chern insulator has a nonzero, time reversal symmetry breaking Hall conductance,…

Quantum Physics · Physics 2022-11-09 Bing-Sui Lu , Khatee Zathul Arifa , Martial Ducloy

In this paper, dedicated to the career of Tom Erber, we consider the Casimir interaction between weakly coupled bodies at nonzero temperature. For the case of semitransparent bodies, that is, ones described by delta-function potentials, we…

High Energy Physics - Theory · Physics 2010-03-18 Kimball A. Milton , Prachi Parashar , Jef Wagner , K. V. Shajesh

The Casimir energy for a massless, neutral scalar field in presence of a point interaction is analyzed using a general zeta-regularization approach developed in earlier works. In addition to a regular bulk contribution, there arises an…

Mathematical Physics · Physics 2020-08-10 Davide Fermi

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…

A general theory of the Casimir-Polder interaction of single atoms with dispersing and absorbing magnetodielectric bodies is presented, which is based on QED in linear, causal media. Both ground-state and excited atoms are considered.…

Quantum Physics · Physics 2007-05-23 Stefan Yoshi Buhmann , Ho Trung Dung , Thomas Kampf , Dirk-Gunnar Welsch