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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;…

量子物理 · 物理学 2025-02-14 M. Bordag , I. G. Pirozhenko

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…

量子物理 · 物理学 2010-08-23 Sahand Jamal Rahi , Thorsten Emig , Noah Graham , Robert L. Jaffe , Mehran Kardar

We review the relation between Casimir effect and geometry, emphasizing deviations from the commonly used Proximity Force Approximation (PFA). We use to this aim the scattering formalism which is nowadays the best tool available for…

量子物理 · 物理学 2008-07-18 Serge Reynaud , Paulo A. Maia Neto , Astrid Lambrecht

We calculated the force of the quantum vacuum, the Casimir force, in a spherically symmetric medium, Maxwell's fish eye, surrounded by a perfect mirror and derived an exact analytic solution. Our solution questions the idea that the Casimir…

量子物理 · 物理学 2015-05-28 Ulf Leonhardt , William M. R. Simpson

The Casimir friction problem for a pair of dielectric particles in relative motion is analyzed, utilizing a microscopic model in which we start from statistical mechanics for harmonically oscillating particles at finite temperature moving…

量子物理 · 物理学 2015-05-18 Johan S. Høye , Iver Brevik

Casimir forces are conventionally computed by analyzing the effects of boundary conditions on a fluctuating quantum field. Although this analysis provides a clean and calculationally tractable idealization, it does not always accurately…

高能物理 - 理论 · 物理学 2008-11-26 N. Graham , R. L. Jaffe , V. Khemani , M. Quandt , O. Schroeder , H. Weigel

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…

软凝聚态物质 · 物理学 2016-08-31 Denis Bartolo , Armand Ajdari , Jean-Baptiste Fournier , Ramin Golestanian

The general formula is derived for the vacuum friction force between two parallel perfectly flat planes bounding two material media separated by a vacuum gap and moving relative to each other with a constant velocity $\mathbf{v}$. The…

量子物理 · 物理学 2014-06-26 V. V. Nesterenko , A. V. Nesterenko

We investigate the squeezing for a movable mirror in the dissipative optomechanics in which the oscillating mirror modulates both the resonance frequency and the linewidth of the cavity mode. Via feeding a much weaker broadband squeezed…

量子物理 · 物理学 2013-08-09 Wen-ju Gu , Gao-xiang Li , Ya-ping Yang

We report on current efforts to detect the thermal and dissipative contributions to the Casimir force. For the thermal component, two experiments are in progress at Dartmouth and at the Institute Laue Langevin in Grenoble. The first…

In this paper we describe an approach to Casimir Force problems that is ultimately generalizable to all fields, boundary conditions, and cavity geometries. This approach utilizes locally defined reflection amplitudes to express the energy…

量子物理 · 物理学 2015-06-04 C. D. Markle , R. Cowsik

Emphasizing first the utility of the generalized Fresnel coefficients in the theory of the Casimir effect in planar cavities, we complement our previous discussion of the ordinary Casimir force on and the Casimir stress in a metal (plasma)…

量子物理 · 物理学 2017-08-23 Marin-Slobodan Tomas , Zdravko Lenac

We derive a general expression for the Casimir energy corresponding to two flat parallel mirrors in d+1 dimensions, described by nonlocal interaction potentials. For a real scalar field, the interaction with the mirrors is implemented by a…

高能物理 - 理论 · 物理学 2014-11-18 C. D. Fosco , E. Losada

The Casimir effect for massless scalar fields satisfying Dirichlet boundary conditions on the parallel plates in the presence of one fractal extra compactified dimension is analyzed. We obtain the Casimir energy density by means of the…

高能物理 - 理论 · 物理学 2015-05-28 Hongbo Cheng

We propose a spectrometric method to detect a classical weak force acting upon the moving end mirror in a cavity optomechanical system. The force changes the equilibrium position of the end mirror, and thus the resonance frequency of the…

量子物理 · 物理学 2020-09-15 Yue-Hui Zhou , Qing-Shou Tan , Xi-Ming Fang , Jin-Feng Huang , Jie-Qiao Liao

Several experimental demonstrations of the Casimir force between two closely spaced bodies have been realized over the past two decades. Extending the theory to incorporate the behavior of the force between two superconducting films close…

A broadband electromagnetic source is important for scientific and technological applications. Quantum vacuum fluctuations, which manifest most prominently in the Casimir effect, provide a fundamentally broadband electromagnetic source.…

量子物理 · 物理学 2026-04-20 Hideo Iizuka , Shanhui Fan

We consider a real massless scalar field inside a cavity with two moving mirrors in a two-dimensional spacetime, satisfying Dirichlet boundary condition at the instantaneous position of the boundaries, for arbitrary and relativistic laws of…

高能物理 - 理论 · 物理学 2014-11-20 Danilo T. Alves , Edney R. Granhen , Wagner P. Pires

The Casimir effect, reflecting quantum vacuum fluctuations in the electromagnetic field in a region with material boundaries, has been studied both theoretically and experimentally since 1948. The forces between dielectric and metallic…

量子物理 · 物理学 2009-11-13 Iver Brevik , Simen A. Ellingsen , Kimball A. Milton

We calculate exactly the Casimir force between a spherical particle and a plane, both with arbitrary dielectric properties, in the non-retarded limit. Using a Spectral Representation formalism, we show that the Casimir force of a sphere…

量子物理 · 物理学 2007-05-23 Cecilia Noguea , Carlos E. Roman-Velazquez