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We report on the realization of a quantum sensor based on trapped atom interferometry in an optical lattice for the measurement of atom-surface interactions, with sub-micrometer-level control of the mean atom-surface separation distance.…

Atomic Physics · Physics 2023-10-24 Yann Balland , Luc Absil , Franck Pereira dos Santos

In this paper aiming to obtain the Casimir energy between a sinusoidally corrugated sphere and a plate, we first present a derivation of the sphere-plate Casimir force obtained by applying proximity force approximation (PFA). One may…

Other Condensed Matter · Physics 2014-04-08 M. R. Setare , A. Seyedzahedi

We report on a proposal aimed at measuring the Casimir force in a cylinder-plane configuration. The Casimir force is evaluated including corrections due to finite parallelism, conductivity, and temperature. The range of validity of the…

We report measurements of the Casimir force between a gold sphere and a silicon surface with an array of nanoscale, rectangular corrugations using a micromechanical torsional oscillator. At distance between 150 nm and 500 nm, the measured…

Quantum Physics · Physics 2008-07-15 H. B. Chan , Y. Bao , J. Zou , R. A. Cirelli , F. Klemens , W. M. Mansfield , C. S. Pai

The Casimir force follows from quantum fluctuations of the electromagnetic field and yields a nonlinear attractive force between closely spaced conductive objects. Measuring the Casimir force in superconducting materials on either side of…

Mesoscale and Nanoscale Physics · Physics 2026-05-08 Matthijs H. J. de Jong , Evren Korkmazgil , Louise Banniard , Mika A. Sillanpää , Laure Mercier de Lépinay

The zeta function regularization technique is used to study the Casimir effect for a scalar field of mass $m$ satisfying Dirichlet boundary conditions on a spherical surface of radius $a$. In the case of large scalar mass, $ma\gg1$, simple…

High Energy Physics - Theory · Physics 2015-09-29 Andrea Erdas

The Casimir energy is computed in the geometry of interest for the most precise experiments, a plane and a sphere in electromagnetic vacuum. The scattering formula is developed on adapted plane-waves and multipole basis, leading to an…

Quantum Physics · Physics 2008-07-31 Paulo A. Maia Neto , Astrid Lambrecht , Serge Reynaud

Casimir interactions (due to the massless scalar field fluctuations) of two surfaces which are close to each other are studied. After a brief general presentation, explicit calculations for co-axial cylinders, co-centric spheres and…

High Energy Physics - Theory · Physics 2015-06-26 H. Ahmedov , I. H. Duru

We analyze the possibility to measure small thermal effects in the Casimir force between metal test bodies in configurations of a sphere above a plate and two parallel plates. For sphere-plate geometry used in many experiments we…

Materials Science · Physics 2010-12-09 B. Geyer , G. L. Klimchitskaya , V. M. Mostepanenko

We describe a three-dimensional geometry that exhibits a repulsive Casimir force using ordinary metallic materials, as computed via an exact numerical method (no uncontrolled approximations). The geometry consists of a zippelike,…

Mimetic gravity is a modified theory of gravity which is able to incorporate dark matter into the underlying geometry of space-time by isolating the conformal degree of freedom. The theory has been studied extensively in the cosmological…

General Relativity and Quantum Cosmology · Physics 2023-12-08 Leonid Sarieddine

We consider a system where a spherical particle is suspended in a nematic liquid crystal confined between two walls. We calculate the liquid-crystal mediated potential of mean force between the sphere and a substrate by means of Monte Carlo…

Soft Condensed Matter · Physics 2009-11-07 Evelina B. Kim , Roland Faller , Qiliang Yan , Nicholas L. Abbott , Juan J. de Pablo

The Casimir effect of a piston for massless scalar fields which satisfy Dirichlet boundary conditions in the context of five-dimensional Randall-Sundrum models is studied. In these scenarios we derive and calculate the expression for the…

High Energy Physics - Theory · Physics 2011-03-28 Hongbo Cheng

The Casimir effect, arising from vacuum quantum fluctuations, plays a fundamental role in the development of modern quantum electrodynamics. In parallel, the field of condensed matter has flourished through the discovery of various…

Quantum Physics · Physics 2025-10-01 Zixuan Dai , Qing-Dong Jiang

We develop a mathematically precise framework for the Casimir effect. Our working hypothesis, verified in the case of parallel plates, is that only the regularization-independent Ramanujan sum of a given asymptotic series contributes to the…

High Energy Physics - Theory · Physics 2011-09-13 Luiz A. Manzoni , Walter F. Wreszinski

We present a new derivation of the Casimir force between two parallel plane mirrors at zero temperature. The two mirrors and the cavity they enclose are treated as quantum optical networks. They are in general lossy and characterized by…

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

An upper limit on the Casimir force is found using the dielectric functions of perfect crystalline materials which depend only on well defined material constants. The force measured with the atomic force microscope is larger than this limit…

Quantum Physics · Physics 2016-12-21 V. B. Svetovoy , M. V. Lokhanin

The Casimir effect, which predicts the emergence of an attractive force between two parallel, highly reflecting plates in vacuum, plays a vital role in various fields of physics, from quantum field theory and cosmology to nanophotonics and…

Quantum Physics · Physics 2022-03-29 Daniel Hodgson , Christopher Burgess , M. Basil Altaie , Almut Beige , Robert Purdy

We report on measurements of forces acting between two conducting surfaces in a spherical-plane configuration in the 35 nm-1 micrometer separation range. The measurements are obtained by performing electrostatic calibrations followed by a…

Quantum Physics · Physics 2015-05-13 W. J. Kim , M. Brown-Hayes , D. A. R. Dalvit , J. H. Brownell , R. Onofrio

Modified theories of gravity have received a renewed interest due to their ability to account for the cosmic acceleration. In order to satisfy the solar system tests of gravity, these theories need to include a screening mechanism that…

Cosmology and Nongalactic Astrophysics · Physics 2014-09-15 Jeremy Sakstein , Bhuvnesh Jain , Vinu Vikram
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