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Non-Commutative space-time introduces a fundamental length scale suggested by approaches to quantum gravity. Here we report the analysis of the Casimir effect for parallel plates separated by a distance of $L$ using a Lorentz invariant…

High Energy Physics - Theory · Physics 2024-02-08 E. Harikumar , Suman Kumar Panja

A multilayered effective medium model is proposed to calculate the contribution of surface roughness to the Casimir force. In this model the rough layer has its optical properties derived from an effective medium approximation, with the…

Other Condensed Matter · Physics 2012-08-22 André Gusso , Úrsula Berion Reis

In this paper we theoretically demonstrate the tunability of the Casimir force both in sign and magnitude between parallel plates coated with dispersive materials. We show that this force, existing between uncharged plates, can be tuned by…

Quantum Physics · Physics 2022-06-15 Miguel Camacho , Tao Gong , Benjamin Spreng , Iñigo Liberal , Nader Engheta , Jeremy N. Munday

The first precise measurement of the Casimir force between dissimilar metals is reported. The attractive force, between a Cu layer evaporated on a microelectromechanical torsional oscillator, and an Au layer deposited on an Al$_2$O$_3$…

Quantum Physics · Physics 2009-11-10 R. S. Decca , D. López , E. Fischbach , D. E. Krause

Quantum vacuum energy has been known to have observable consequences since 1948 when Casimir calculated the force of attraction between parallel uncharged plates, a phenomenon confirmed experimentally with ever increasing precision. Casimir…

High Energy Physics - Theory · Physics 2016-11-09 Kimball A. Milton

We investigate the force acting between two parallel plates held at different temperatures. The force reproduces, as limiting cases, the well known Casimir-Lifshitz surface-surface force at thermal equilibrium and the surface-atom force out…

Statistical Mechanics · Physics 2007-05-23 Mauro Antezza , Lev P. Pitaevskii , Sandro Stringari , Vitaly B. Svetovoy

The low-temperature behavior of the Casimir-Polder free energy and entropy for an atom near a dielectric plate are found on the basis of the Lifshitz theory. The obtained results are shown to be thermodynamically consistent if the dc…

Quantum Physics · Physics 2009-11-13 G. L. Klimchitskaya , U. Mohideen , V. M. Mostepanenko

We have used density functional theory to calculate the anisotropic dielectric functions for ultrathin gold sheets (composed of 1, 3, 6, and 15 atomic layers). Such films are important components in nano-electromechanical systems. When…

Mesoscale and Nanoscale Physics · Physics 2013-02-14 M. Boström , C. Persson , Bo E. Sernelius

A recent experiment [J.L. Garrett et al., Phys. Rev. Lett {\bf 120}, 040401 (2018)] measured for the first time the gradient of the Casimir force between two gold spheres at room temperature. The theoretical analysis of the data was carried…

Quantum Physics · Physics 2018-04-16 Giuseppe Bimonte

Up to now there has been no reliable method to calculate the Casimir force when surface roughness becomes comparable with the separation between bodies. Statistical analysis of rough Au films demonstrates rare peaks with heights…

Mesoscale and Nanoscale Physics · Physics 2011-07-11 Wijnand Broer , George Palasantzas , Jasper Knoester , Vitaly B. Svetovoy

We derive the explicit expression for the Casimir energy between a sphere and a 1D grating, in terms of the sphere and grating reflection matrices, and valid for arbitrary materials, sphere radius, and grating geometric parameters. We then…

Quantum Physics · Physics 2015-12-21 Riccardo Messina , Paulo A. Maia Neto , Brahim Guizal , Mauro Antezza

The lateral Casimir force between a sinusoidally corrugated gold coated plate and large sphere was measured for surface separations between 0.2 $\mu$m to 0.3 $\mu$m using an atomic force microscope. The measured force shows the required…

Quantum Physics · Physics 2009-11-07 F. Chen , U. Mohideen , G. L. Klimchitskaya , V. M. Mostepanenko

A diffraction problem for a flat Chern-Simons layer at plane boundary of a dielectric half space is solved. The Casimir energy of two dielectric half spaces with Chern-Simons layers at plane-parallel boundaries separated by a vacuum slit is…

Mesoscale and Nanoscale Physics · Physics 2019-02-19 Valery N. Marachevsky

We study the Casimir friction due to the relative, uniform, lateral motion of two parallel semitransparent mirrors coupled to a vacuum real scalar field, $\phi$. We follow a functional approach, whereby nonlocal terms in the action for…

We calculate the Casimir energy of a massless scalar field confined between two nearby parallel plates formed by ideal uncharged conductors, placed tangentially to the surface of a sphere with mass M and radius R. To this end, we take into…

High Energy Physics - Theory · Physics 2015-05-06 C. R. Muniz , V. B. Bezerra , M. S. Cunha

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

We extend a recently introduced method for computing Casimir forces between arbitrarily--shaped metallic objects [M. T. H. Reid et al., Phys. Rev. Lett._103_ 040401 (2009)] to allow treatment of objects with arbitrary material properties,…

Quantum Physics · Physics 2011-10-21 M. T. Homer Reid , Jacob White , Steven G. Johnson

We study the influence of finite conductivity of metals on the Casimir effect. We put the emphasis on explicit theoretical evaluations which can help comparing experimental results with theory. The reduction of the Casimir force is…

Quantum Physics · Physics 2009-10-31 Astrid Lambrecht , Serge Reynaud

We describe a novel experiment based on atoms trapped close to a macroscopic surface, to study the interactions between the atoms and the surface at very small separations (0.6 to 10 $\mu$m). In this range the dominant potential is the QED…

In this work, we present detailed measurements of the Casimir-Lifshitz force between two gold surfaces (a sphere and a plate) immersed in ethanol and study the effect of residual electrostatic forces, which are dominated by static fields…

Quantum Physics · Physics 2009-11-13 J. N. Munday , Federico Capasso , V. Adrian Parsegian , Sergey M. Bezrukov