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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

The Casimir effect refers to the existence of a macroscopic force between conducting plates in vacuum due to quantum fluctuations of fields. These forces play an important role, among other things, in the design of nano-scale mechanical…

High Energy Physics - Theory · Physics 2015-06-03 Dimitra Karabali

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

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 study theoretically the dynamical Casimir effect in an exciton-polariton condensate that is suddenly created by an ultrashort laser pulse at normal incidence. As a consequence of the abrupt change of the quantum vacuum, Bogoliubov…

Quantum Gases · Physics 2015-06-15 Selma Koghee , Michiel Wouters

In this paper, we study the synchronization of qubits induced by the dynamical Casimir effect in an atom-cavity quantum electrodynamics system. Our investigation revolves around a pragmatic configuration of a quantum system, where two…

Quantum Physics · Physics 2024-11-25 Haruki Mitarai , Yoshihiko Hasegawa

A novel approach for calculating Casimir forces between periodically deformed objects is developed. This approach allows, for the first time, a rigorous non-perturbative treatment of the Casimir effect for disconnected objects beyond…

Statistical Mechanics · Physics 2010-12-17 Thorsten Emig

We present a new Monte Carlo method to calculate Casimir forces acting on objects in a near-critical fluid, considering the two basic cases of a wall and a sphere embedded in a two-dimensional Ising medium. During the simulation, the…

Statistical Mechanics · Physics 2014-06-19 Hendrik Hobrecht , Alfred Hucht

The Casimir effect is a quantum phenomenon induced by the zero-point energy of relativistic fields confined in a finite-size system. This effect for photon fields has been studied for a long time, while the realization of counterparts for…

Mesoscale and Nanoscale Physics · Physics 2023-06-22 Katsumasa Nakayama , Kei Suzuki

Casimir effect, explained by Hendrik Casimir in 1948, is a macroscopic manifestation of quantum electrodynamics. Symmetry breaking due to space confinement of vacuum fluctuations in between two planar mirrors results in an attractive force…

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

Recent work by Jaffe and Scardicchio has expressed the optical approximation to the Casimir effect as a sum over geometric quantities. The first two authors have developed a technique which uses the complex geometry of the space of oriented…

Differential Geometry · Mathematics 2009-11-10 Brendan Guilfoyle , Wilhelm Klingenberg , Siddhartha Sen

We consider the finite temperature Casimir effect between two concentric spheres due to the vacuum fluctuations of the electromagnetic field in the $(D+1)$-dimensional Minkowski spacetime. Different combinations of perfectly conducting and…

Quantum Physics · Physics 2011-08-08 L. P. Teo

We show that a two-level atom resonantly coupled to one of the modes of a cavity field can be used as a sensitive tool to measure the proper acceleration of a combined atom-cavity system. To achieve it we investigate the relation between…

Quantum Physics · Physics 2018-08-21 Kacper Kożdoń , Ian T. Durham , Andrzej Dragan

The Casimir-Polder interaction between an atom and a multilayered system composed of infinitely thin planes is considered using the zeta-function regularization approach with summation of the zero-point energies. As a prototype material,…

Mesoscale and Nanoscale Physics · Physics 2016-08-03 Nail Khusnutdinov , Rashid Kashapov , Lilia M. Woods

We model the one-dimensional `classical' vacuum by a system of annihilating Brownian motions on $\mathbb{R}$ with pairwise immigration. A pair of reflecting or absorbing walls placed in such a vacuum at separation $L$ experiences an…

Probability · Mathematics 2024-09-24 Ruibo Kou , Roger Tribe , Oleg Zaboronski

An ultracold atom above a horizontal mirror experiences quantum reflection from the attractive Casimir-Polder interaction, which holds it against gravity and leads to quantum levitation states. We analyze this system by using a Liouville…

Quantum Physics · Physics 2017-10-20 P. -P. Crépin , G. Dufour , R. Guérout , A. Lambrecht , S. Reynaud

Phonon Casimir effect is the long-range interaction between impurities in condensed matter systems, mediated by vacuum fluctuations of the phonon field. For pairs of impurities, this interaction has been shown to follow a quasi-power law at…

Mesoscale and Nanoscale Physics · Physics 2019-11-27 Aleksandr Rodin

We derive the Casimir force expression from Maxwell's stress tensor by means of original quantum-electro-dynamical cavity modes. In contrast with similar calculations, our method is straightforward and does not rely on intricate…

Quantum Physics · Physics 2012-01-06 Frederic Schuller , Renaud Savalle

We performed measurements of the gradient of the Casimir force between Au-coated surfaces of a sphere and a plate by means of significantly upgraded dynamic atomic force microscope (AFM) based technique. By introducing combined cleaning…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Mingyue Liu , Jun Xu , G. L. Klimchitskaya , V. M. Mostepanenko , U. Mohideen
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