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Green functions scattering method is generalized to consider mixing of electromagnetic polarizations after reflection from the plane boundary between different media and applied to derivation of the Casimir-Polder potential in systems with…

High Energy Physics - Theory · Physics 2023-05-23 Valery N. Marachevsky , Arseny A. Sidelnikov

We use a derivative expansion for gently curved surfaces to compute the leading and the next-to-leading curvature corrections to the Casimir-Polder interaction between a polarizable small particle and a non-planar surface. While our methods…

Quantum Physics · Physics 2014-10-31 Giuseppe Bimonte , Thorsten Emig , Mehran Kardar

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 develop an exact method for computing Casimir forces and the power of radiative heat transfer between two arbitrary nanostructured surfaces out of thermal equilibrium. The method is based on a generalization of the scattering approach…

Quantum Physics · Physics 2009-11-23 Giuseppe Bimonte

The lateral Casimir-Polder force between an atom and a corrugated surface should allow one to study experimentally non trivial geometrical effects in quantum vacuum. Here, we derive the theoretical expression of this force in a scattering…

Quantum Physics · Physics 2009-11-13 Diego A. R. Dalvit , Paulo A. Maia Neto , Astrid Lambrecht , Serge Reynaud

We apply the scattering approach to the Casimir interaction between two dielectric half-spaces separated by an electrolyte solution. We take the nonlocal electromagnetic response of the intervening medium into account, which results from…

Mesoscale and Nanoscale Physics · Physics 2019-09-30 P. A. Maia Neto , F. S. S. Rosa , L. B. Pires , A. B. Marim , A. Canaguier-Durand , R. Guérout , A. Lambrecht , S. Reynaud

General formalism of quantum field theory and addition theorem for Bessel functions are applied to derive formula for Casimir-Polder energy of interaction between a polarizable particle and a dilute dielectric ball. The equivalence of…

High Energy Physics - Theory · Physics 2009-10-31 Valery N. Marachevsky

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

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 an almost fully analytical technique for computing Casimir interactions between periodic lamellar gratings based on a modal approach. Our method improves on previous work on Casimir modal approaches for nanostructures by using…

Quantum Physics · Physics 2013-01-08 F. Intravaia , P. S. Davids , R. S. Decca , V. A. Aksyuk , D. Lopez , D. A. R. Dalvit

The temperature dependence of the Casimir-Polder interaction addresses fundamental issues for understanding vacuum and thermal fluctuations. It is highly sensitive to surface waves which, in the near field, govern the thermal emission of a…

The lateral Casimir force between two corrugated metallic plates makes possible a study of the nontrivial interplay of geometry and Casimir effect appearing beyond the regime of validity of the Proximity Force Approximation (PFA).…

Quantum Physics · Physics 2007-06-18 Robson B. Rodrigues , Paulo A. Maia Neto , Astrid Lambrecht , Serge Reynaud

We present calculations of the quantum and thermal Casimir interaction between real mirrors in electromagnetic fields using the scattering approach. We begin with a pedagogical introduction of this approach in simple cases where the…

Quantum Physics · Physics 2014-09-16 Astrid Lambrecht , Antoine Canaguier-Durand , Romain Guérout , Serge Reynaud

In this paper aiming to obtain the Casimir energy between a sinusoidally corrugated sphere and a plate, we first present a derivation of the sphere-plate Casimir force obtained by applying proximity force approximation (PFA). One may…

Other Condensed Matter · Physics 2014-04-08 M. R. Setare , A. Seyedzahedi

We investigate the dynamical Casimir-Polder force between an atom and a conducting wall during the time evolution of the system from a partially dressed state. This state is obtained by a sudden change of the atomic position with respect to…

Quantum Physics · Physics 2023-09-22 Antonio Noto , Roberto Passante , Lucia Rizzuto , Salvatore Spagnolo

The Casimir-Polder force acts on polarizable particles due to quantum fluctuations of the electromagnetic field that are modified by the presence of material bodies. We investigate the Casimir-Polder interaction for atoms near cylindrical…

Quantum Physics · Physics 2026-05-28 Bettina Beverungen , Daniel Reiche , Kurt Busch , Francesco Intravaia

We give a comprehensive presentation of methods for calculating the Casimir force to arbitrary accuracy, for any number of objects, arbitrary shapes, susceptibility functions, and separations. The technique is applicable to objects immersed…

Quantum Physics · Physics 2015-05-19 Sahand Jamal Rahi , Thorsten Emig , Robert L. Jaffe

Quantum fluctuations give rise to Casimir forces between two parallel conducting plates, the magnitude of which increases monotonically as the separation decreases. By introducing nanoscale gratings to the surfaces, recent advances have…

We compute the Casimir interaction energy between two perfectly conducting, concentric cylinders, using the mode-by-mode summation technique. Then we compare it with the approximate results obtained using the proximity theorem and a…

Quantum Physics · Physics 2007-05-23 Francisco D. Mazzitelli

Based on a unified approach to macroscopic QED that allows for the inclusion of amplification in a limited space and frequency range, we study the Casimir force as a Lorentz force on an arbitrary partially amplifying system of linearly…

Quantum Physics · Physics 2015-05-13 Agnes Sambale , Dirk-Gunnar Welsch , Stefan Yoshi Buhmann , Ho Trung Dung