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In this paper we discuss and review several aspects of the effect of boundary conditions and structured environments on dispersion and resonance interactions involving atoms or molecules, as well as on vacuum field fluctuations. We first…

The Phononic Casimir effect between planar objects is investigated by deriving a formalism from the quantum partition function of the system following multiscattering approach. This fluctuation-induced coupling is mediated by phonons…

Quantum Physics · Physics 2025-12-03 Pablo Rodriguez-Lopez , Dai-Nam Le , Lilia M. Woods

We investigate the interaction caused by quantum gravitational vacuum fluctuations between a gravitationally polarizable object and a gravitational boundary, and find a position-dependent energy shift of the object, which induces a force in…

High Energy Physics - Theory · Physics 2017-02-02 Jiawei Hu , Hongwei Yu

Multiple scattering formulations have been employed for more than 30 years as a method of studying the quantum vacuum or Casimir interactions between distinct bodies. Here we review the method in the simple context of $\delta$-function…

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

A mirror scattering vacuum fields is submitted to a quantum fluctuating radiation pressure. It also experiences a motional force, related to force fluctuations through fluctuation-dissipation relations. The resulting position fluctuations…

Quantum Physics · Physics 2023-04-14 Marc-Thierry Jaekel , Serge Reynaud

Electromagnetic vacuum fluctuations have observable consequences, like the Casimir force between mirrors in vacuum. This force is now measured with good accuracy and agreement with theory when the effect of imperfect reflection of mirrors…

Quantum Physics · Physics 2007-05-23 Cyriaque Genet , Francesco Intravaia , Astrid Lambrecht , Serge Reynaud

We employ a multiple scattering expansion to systematically derive curvature corrections to the Casimir-Polder (CP) interaction between small an-isotropic particles and general magneto-dielectric surfaces. Our results, validated against…

Quantum Physics · Physics 2025-11-10 Giuseppe Bimonte , Thorsten Emig

We investigate the Casimir interaction between two parallel metallic cylinders and between a metallic cylinder and plate. The material properties of the metallic objects are implemented by the plasma, Drude and perfect metal model…

Statistical Mechanics · Physics 2013-06-27 Ehsan Noruzifar , Thorsten Emig , Umar Mohideen , Roya Zandi

The effects of reflecting boundaries on vacuum electric field fluctuations are treated. The presence of the boundaries can enhance these fluctuations and possibly lead to observable effects. The electric field fluctuations lead to voltage…

Quantum Physics · Physics 2022-05-03 L. H. Ford

The Casimir force provides a striking example of the effects of quantum fluctuations in a mesoscopic system. Because it arises from the objects' electromagnetic response, the necessary calculations in quantum field theory are most naturally…

Quantum Physics · Physics 2023-03-30 Giuseppe Bimonte , Thorsten Emig , Noah Graham , Mehran Kardar

We study the Dynamical Casimir Effect resulting from the oscillatory motion of either one or two flat semitransparent mirrors, coupled to a quantum real and massless scalar field. Our approach is based on a perturbative evaluation, in the…

High Energy Physics - Theory · Physics 2017-09-13 C. D. Fosco , A. Giraldo , F. D. Mazzitelli

Vacuum fluctuations provide a fundamental source of dissipation for systems coupled to quantum fields by radiation pressure. In the dynamical Casimir effect, accelerating neutral bodies in free space give rise to the emission of real…

Quantum Physics · Physics 2015-05-19 Diego A. R. Dalvit , Paulo A. Maia Neto , Francisco Diego Mazzitelli

We develop a unified scattering approach to dynamical Casimir problems which can be applied to both accelerating boundaries, as well as dispersive objects in relative motion. A general (trace) formula is derived for the radiation from…

Quantum Physics · Physics 2013-01-14 Mohammad F. Maghrebi , Ramin Golestanian , Mehran Kardar

The Casimir interaction between one-dimensional metallic objects (cylinders, wires) displays unconventional features. Here we study the orientation dependence of this interaction by computing the Casimir energy between two inclined…

Quantum Physics · Physics 2014-10-30 P. Rodriguez-Lopez , T. Emig

We review the theory of the Casimir effect using scattering techniques. After years of theoretical efforts, this formalism is now largely mastered so that the accuracy of theory-experiment comparisons is determined by the level of precision…

Quantum Physics · Physics 2007-05-23 A. Lambrecht , P. A. Maia Neto , S. Reynaud

We present calculations of the Casimir interaction between a sphere and a plane, using a multipolar expansion of the scattering formula. This configuration enables us to study the nontrivial dependence of the Casimir force on the geometry,…

We extend our previous work on the functional approach to the dynamical Casimir effect, to compute dissipative effects due to the relative motion of two flat, parallel, imperfect mirrors in vacuum. The interaction between the internal…

High Energy Physics - Theory · Physics 2011-08-08 Cesar D. Fosco , Fernando C. Lombardo , Francisco D. Mazzitelli

Vacuum fluctuations are a fundamental and irremovable property of a quantized electromagnetic field. These fluctuations are the cause of the Casimir effect -- mutual attraction of two electrically neutral metallic plates in vacuum in the…

Optics · Physics 2023-11-23 Mikhail Krasnov , Arslan Mazitov , Nikita Orekhov , Denis G. Baranov

We calculate the Casimir energy for scalar and gauge fields in interaction with zero-width mirrors, including quantum effects due to the matter fields inside the mirrors. We consider models where those fields are either scalar or fermionic,…

High Energy Physics - Theory · Physics 2008-11-26 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

We present the scattering approach which is nowadays the best tool for describing the Casimir force in realistic experimental configurations. After reminders on the simple geometries of 1d space and specular scatterers in 3d space, we…

Quantum Physics · Physics 2015-05-18 S. Reynaud , A. Canaguier-Durand , R. Messina , A. Lambrecht , P. A. Maia Neto