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We extend a recently introduced method for computing Casimir forces between arbitrarily--shaped metallic objects [M. T. H. Reid et al., Phys. Rev. Lett._103_ 040401 (2009)] to allow treatment of objects with arbitrary material properties,…

Quantum Physics · Physics 2011-10-21 M. T. Homer Reid , Jacob White , Steven G. Johnson

We extend our previous work on a derivative expansion for the Casimir energy, to the case of the electromagnetic field coupled to two thin, imperfect mirrors. The latter are described by means of vacuum polarization tensors localized on the…

High Energy Physics - Theory · Physics 2015-06-04 Cesar D. Fosco , Fernando C. Lombardo , Francisco D. Mazzitelli

We demonstrate that the thermal Casimir-Polder forces on molecules near a conducting surface whose transition wavelengths are comparable to the molecule-surface separation are dependent on the ambient temperature and molecular polarization…

Atomic Physics · Physics 2015-06-12 Zhiying Zhu , Hongwei Yu , Bin Wang

We evaluate the Casimir-Polder potential between two atoms in the presence of an infinite perfectly conducting plate and at nonzero temperature. In order to calculate the potential, we use a method based on equal-time spatial correlations…

Quantum Physics · Physics 2009-11-13 R. Passante , S. Spagnolo

When comparing experimental results with theoretical predictions of the Casimir force, the accuracy of the theory is as important as the precision of experiments. Here we evaluate the Casimir force when finite conductivity of the reflectors…

Quantum Physics · Physics 2009-11-07 Cyriaque Genet , Astrid Lambrecht , Serge Reynaud

The low temperature expansion of the free energy of atom/plane system is considered for general symmetric form of tensor conductivity of the plane. It is shown that the first correction is proportional to second order of the temperature…

Mesoscale and Nanoscale Physics · Physics 2019-01-29 Nail Khusnutdinov , Natalia Emelianova

We investigate the time-dependent Casimir-Polder potential of a polarizable two-level atom placed near a surface of arbitrary material, after a sudden change in the parameters of the system. Different initial conditions are taken into…

Quantum Physics · Physics 2015-06-18 Harald R. Haakh , Carsten Henkel , Salvatore Spagnolo , Lucia Rizzuto , Roberto Passante

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

Using the formulation of the electromagnetic Green's function of a perfectly conducting cone in terms of analytically continued angular momentum, we compute the Casimir-Polder interaction energy of the cone with a polarizable particle. We…

Quantum Physics · Physics 2025-05-26 Noah Graham

Analytic expressions that describe Casimir interactions over the entire range of separations have been limited to planar surfaces. Here we derive analytic expressions for the classical or high-temperature limit of Casimir interactions…

Quantum Physics · Physics 2014-10-30 G. Bimonte , T. Emig

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 review a systematic practical implementation of the multiple scattering formalism due to Balian and Duplantier [R. Balian and B. Duplantier, Ann. Phys. (NY) \textbf{104}, 300 (1977); \textbf{112}, 165 (1978)] for the calculation of the…

Mesoscale and Nanoscale Physics · Physics 2017-03-02 Joseph P. Straley , Eugene B. Kolomeisky

We calculate the Casimir interaction energy in $d=2$ spatial dimensions between two (zero-width) mirrors, one flat, and the other slightly curved, upon which {\em imperfect\/} conductor boundary conditions are imposed for an Electromagnetic…

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

For the Casimir interaction between two nearby objects, the plane-wave basis proves convenient for numerical calculations as well as for analytical considerations leading to an optical interpretation of the relevant scattering processes of…

Quantum Physics · Physics 2022-09-12 Tanja Schoger , Benjamin Spreng , Gert-Ludwig Ingold , Paulo A. Maia Neto

Atomic diffraction through a nanograting is a powerful tool to probe the Casimir-Polder potential. Achieving precise measurements require simulations to bridge theory and experiment. In this context, we present various approximations and…

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

The mutual electromagnetic correlations between two spatially separated systems gives rise to Casimir and Casimir-Polder effect. The corresponding forces, which are generally attractive for most vacuum-separated metallic or dielectric…

Mesoscale and Nanoscale Physics · Physics 2016-07-13 Partha Goswami

We develop an extended Onsager real-cavity framework to describe the Casimir-Polder interaction of small molecules dissolved in dielectric liquids near planar interfaces. By analytically resolving the geometry of the cavity opening, we…

Soft Condensed Matter · Physics 2025-12-24 Johannes Fiedler , Drew F. Parsons

We investigate, by means of the scattering approach, the Casimir-Polder interaction between a neutral anisotropic polarizable particle and a corrugated surface made of a realistic material. By focusing on the lateral force (arising from the…

Quantum Physics · Physics 2024-02-13 Lucas Queiroz

We derive boundary conditions for electromagnetic fields on a $\delta$-function plate. The optical properties of such a plate are shown to necessarily be anisotropic in that they only depend on the transverse properties of the plate. We…

High Energy Physics - Theory · Physics 2015-06-05 Prachi Parashar , Kimball A. Milton , K. V. Shajesh , M. Schaden