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The Casimir effect in an inhomogeneous dielectric is investigated using Lifshitz's theory of electromagnetic vacuum energy. A permittivity function that depends continuously on one Cartesian coordinate is chosen, bounded on each side by…

Quantum Physics · Physics 2015-05-14 T. G. Philbin , C. Xiong , U. Leonhardt

In this work, we consider a torque caused by the well known quantum mechanical Casimir effect arising from quantized field fluctuations between plates with inhomogeneous, sharply discontinuous, dielectric properties. While the Casimir…

High Energy Physics - Theory · Physics 2014-04-18 William Long , Lucas Schuermann

A classification of the electromagnetic modes on open and closed spatial domains containing media with piecewise homogeneous permittivities is used to facilitate the derivation of quantum induced Casimir stresses in dielectrics. By directly…

Quantum Physics · Physics 2014-03-13 Shin-itiro Goto , Robin W Tucker , Timothy J Walton

We calculate the Casimir forces in two configurations, namely, three parallel dielectric slabs and a dielectric slab between two perfectly conducting plates, where the dielectric materials are dispersive and inhomogeneous in the direction…

High Energy Physics - Theory · Physics 2019-06-19 Yang Li , Kimball A. Milton , Xin Guo , Gerard Kennedy , Stephen A. Fulling

Puzzles are still preventing people from further understanding and manipulating the Casimir interaction in spherical systems. Here we investigate the behaviors of Casimir stresses in the system consisting of a ball immersed in the…

High Energy Physics - Theory · Physics 2024-11-13 Yang Li

A new mathematical and computational technique for calculating quantum vacuum expectation values of energy and momentum densities associated with electromagnetic fields in bounded domains containing inhomogeneous media is discussed. This…

Quantum Physics · Physics 2011-07-11 Shin-itiro Goto , Robin W. Tucker , Timothy J. Walton

The stress tensor for the quantized electromagnetic field is calculated in the region between a pair of dispersive, dielectric half-spaces. This generalizes the stress tensor for the Casimir energy to the case where the boundaries have…

Quantum Physics · Physics 2014-11-18 V. Sopova , L. H. Ford

The Casimir effect in quantum electrodynamics (QED) is perhaps the best-known example of fluctuation-induced long-ranged force acting on objects (conducting plates) immersed in a fluctuating medium (quantum electromagnetic field in vacuum).…

Statistical Mechanics · Physics 2009-07-13 Andrea Gambassi

This article addresses a number of issues associated with the problem of calculating contributions from the electromagnetic quantum induced energy and stress in a stationary material with an inhomogeneous polarizability. After briefly…

Quantum Physics · Physics 2018-10-01 S. Goto , R. W. Tucker , T. J. Walton

The Casimir Effect is a physical manifestation of quantum fluctuations of the electromagnetic vacuum. When two metal plates are placed closely together, typically much less than a micron, the long wavelength modes between them are frozen…

Applied Physics · Physics 2018-10-23 Alexander Stange , Matthias Imboden , Josh Javor , Lawrence K. Barrett , David J. Bishop

This thesis consists on two separate parts. In the first part, we discuss about the nature of the Casimir effect as the response of a fluctuant medium to the breakdown of the translation symmetry because the presence of intrusions in that…

Quantum Physics · Physics 2012-07-05 Pablo Rodriguez-Lopez

Quantum fluctuations of electromagnetic radiation pressure are discussed. We use an approach based on the quantum stress tensor to calculate the fluctuations in velocity and position of a mirror subjected to electromagnetic radiation. Our…

Quantum Physics · Physics 2009-11-06 Chun-Hsien Wu , L. H. Ford

Vacuum cavity control of quantum materials is the engineering of quantum materials systems through electromagnetic zero-point fluctuations. In this work we articulate a generic mechanism for vacuum optical control of correlated electronic…

We propose a definitive test of whether plates involved in Casimir experiments should be modeled with ballistic or diffusive electrons--a prominent controversy highlighted by a number of conflicting experiments. The unambiguous test we…

Quantum Physics · Physics 2015-06-30 Andrew A. Allocca , Justin H. Wilson , Victor Galitski

The derivation of Casimir forces between dielectrics can be simplified by ignoring absorption, calculating energy changes due to displacements of the dielectrics, and only then admitting absorption by allowing permittivities to be complex.…

Quantum Physics · Physics 2010-04-06 F. S. S. Rosa , D. A. R. Dalvit , P. W. Milonni

A general, exact formula is derived for the expectation value of the electromagnetic energy density of an inhomogeneous absorbing and dispersive dielectric medium in thermal equilibrium, assuming that the medium is well approximated as a…

Quantum Physics · Physics 2015-05-28 F. S. S. Rosa , D. A. R. Dalvit , P. W. Milonni

We find the action that describes the electromagnetic field in a spatially dispersive, homogeneous medium. This theory is quantized and the Hamiltonian is diagonalized in terms of a continuum of normal modes. It is found that the…

Quantum Physics · Physics 2015-06-17 S. A. R. Horsley , T. G. Philbin

We study the statistical fluctuations of the Casimir potential felt by an atom approaching a dielectric disordered medium. Starting from a microscopic model for the disorder, we calculate the variance of potential fluctuations in the limit…

Quantum Physics · Physics 2015-04-15 Nicolas Cherroret , Romain Guérout , Astrid Lambrecht , Serge Reynaud

The vacuum fluctuations give rise to a number of phenomena; however, the the Casimir Effect is arguably the most salient manifestation of the quantum vacuum. In its most basic form it is realized through the interaction of a pair of neutral…

General Physics · Physics 2011-08-31 Richard Obousy

We develop a discretized theory of thermal Casimir interactions to numerically calculate the interactions between fluctuating dielectrics. From a constrained partition function we derive a surface free energy, while handling divergences…

Statistical Mechanics · Physics 2009-11-13 S. Pasquali , F. Nitti , A. C. Maggs
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