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Barash has calculated the Casimir forces between parallel birefringent plates with optical axes parallel to the plate boundaries [Izv. Vyssh. Uchebn.\ Zaved., Radiofiz., {\bf 12}, 1637 (1978)]. The interesting new feature of the solution…

Quantum Physics · Physics 2009-11-13 T. G. Philbin , U. Leonhardt

We study cooperative phenomena in the fluctuation-induced forces between a surface and a system of neutral two-level quantum emitters prepared in a coherent collective state, showing that the total Casimir-Polder force on the emitters can…

Quantum Physics · Physics 2018-11-08 Kanupriya Sinha , B. Prasanna Venkatesh , Pierre Meystre

We investigate the Casimir effect of a rough membrane within the framework of the Horava-Lifshitz theory in 2+1 dimensions. Quantum fluctuations are induced by an anisotropic scalar field subject to Dirichlet boundary conditions. We…

High Energy Physics - Theory · Physics 2024-01-26 Claudio Bórquez , Byron Droguett

For more than 35 years theorists have studied quantum or Casimir friction, which occurs when two smooth bodies move transversely to each other, experiencing a frictional dissipative force due to quantum electromagnetic fluctuations, which…

Quantum Physics · Physics 2016-05-17 K. A. Milton , J. S. Høye , I. Brevik

Recent measurements of Casimir forces have provided evidence of an intricate modification of quantum fluctuations of the electromagnetic field in complex geometries. Here we introduce a multiple scattering description for Casimir…

Quantum Physics · Physics 2023-05-24 Thorsten Emig , Giuseppe Bimonte

The force experienced by objects embedded in a correlated medium undergoing thermal fluctuations--the so-called fluctuation--induced force--is actually itself a fluctuating quantity. We compute the corresponding probability distribution and…

Soft Condensed Matter · Physics 2016-08-31 Denis Bartolo , Armand Ajdari , Jean-Baptiste Fournier , Ramin Golestanian

The Casimir energy is constructed for a system consisting of two semi-infinite slabs of anisotropic material. Each of them is characterized by bulk complex dielectric permittivity tensor and surface conductivity on the free boundary. We…

Mesoscale and Nanoscale Physics · Physics 2020-02-19 N. Emelianova , I. V. Fialkovsky , N. Khusnutdinov

The static Casimir effect describes an attractive force between two conducting plates, due to quantum fluctuations of the electromagnetic (EM) field in the intervening space. {\it Thermal fluctuations} of correlated fluids (such as critical…

Condensed Matter · Physics 2008-11-26 Mehran Kardar , Ramin Golestanian

We provide a Quantum Field Theory derivation of Lifshitz formula for the Casimir force due to a fluctuating real scalar field in $d+1$ dimensions. The field is coupled to two imperfect, thick, plane mirrors, which are modeled by background…

High Energy Physics - Theory · Physics 2015-05-28 C. Ccapa Ttira , C. D. Fosco , F. D. Mazzitelli

A matter-field theory of the Casimir force is formulated in which the electromagnetic field and collective modes of dielectric media are treated on an equal footing. In our theory, the Casimir force is attributed to zero-point energies of…

Condensed Matter · Physics 2009-10-31 Masato Koashi , Masahito Ueda

According to the experimentally observed theory of the static Casimir effect, two metal, uncharged, conductive and flat plates attract each other in vacuum >.Herein, equations of motion of the plates which are influenced by Casimir…

General Physics · Physics 2007-05-23 Mohammad Mansouryar

We examine the Casimir energy of 5D electromagnetism in the recent standpoint. The bulk geometry is flat. Z$_2$ symmetry and the periodic property, for the extra coordinate, are taken into account. After confirming the consistency with the…

High Energy Physics - Theory · Physics 2009-08-05 Shoichi Ichinose

We combine linear response theory and dimensional regularization in order to derive the dynamical Casimir force in the low frequency regime. We consider two parallel plates moving along the normal direction in $D-$dimensional space. We…

High Energy Physics - Theory · Physics 2009-11-07 L. A. S. Machado , P. A. Maia Neto

We apply the quasi-local stress-energy tensor formalism to the Casimir effect of a scalar field confined between conducting planes located in a static spacetime. We show that the surface energy vanishes for both Neumann and Dirichlet…

High Energy Physics - Theory · Physics 2022-10-07 Borzoo Nazari

Recent progress in the simulation of Casimir forces between various objects has allowed traditional computational electromagnetic solvers to be used to find Casimir forces in arbitrary three-dimensional objects. The underlying theory to…

Quantum Physics · Physics 2013-05-07 Phillip R Atkins , Weng Cho Chew , Qi I. Dai , Wei E. I. Sha

Casimir physics covers a wealth of phenomena where forces between macroscopic objects are induced by long range fluctuations of either classical or quantum origin. Fluctuations of the quantum electrodynamic vacuum epitomize this type of…

Mesoscale and Nanoscale Physics · Physics 2020-04-15 Ariane Soret , Karyn Le Hur , Eric Akkermans

We consider the Casimir effect in a (1+1)-dimensional model with a critical mode. Such a mode gives rise to a condensate described by the nonlinear Gross-Pitaevskii equation. In the condensate, there are two sources of the Casimir force;…

Quantum Physics · Physics 2025-02-14 M. Bordag , I. G. Pirozhenko

We study the fluctuation-induced, time-dependent force between two plates immersed in a fluid driven out of equilibrium mechanically by harmonic vibrations of one of the plates. Considering a simple Langevin dynamics for the fluid, we…

Statistical Mechanics · Physics 2009-12-22 Andreas Hanke

Fluctuation-induced forces, primarily represented by quantum and critical Casimir effects, play a pivotal role at the nanoscale. This review explores the theoretical and experimental landscapes of these forces, offering a comprehensive…

Quantum Physics · Physics 2025-05-21 Roberto Passante , Lucia Rizzuto , Peter Schall , Emanuele Marino

We investigate the vacuum and thermal fluctuations of a neutral massless scalar field living in Minkowski spacetime and interacting with a finite number of point-like obstacles, modelled by zero-range potentials. The system is described…

Mathematical Physics · Physics 2026-05-12 Davide Fermi , Marco Gurgoglione