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We explore the scattering approach to Casimir forces. Our main tool is the description of Casimir energy in terms of transition operators, as presented in Kenneth and Klich, Phys. Rev. Lett. 97, 160401 (2006). We study the convergence…

Quantum Physics · Physics 2009-11-13 Oded Kenneth , Israel Klich

We use the worldline numerics technique to study a cylindrically symmetric model of magnetic flux tubes in a dense lattice and the non-local Casimir forces acting between regions of magnetic flux. Within a superconductor the magnetic field…

High Energy Physics - Theory · Physics 2015-03-25 Dan Mazur , Jeremy S. Heyl

We present a new approach to the Helmholtz spectrum for arbitrarily shaped boundaries and general boundary conditions. We derive the boundary induced change of the density of states in terms of the free Green's function from which we obtain…

Statistical Mechanics · Physics 2009-11-10 Rauno Buescher , Thorsten Emig

We study the Casimir-Lifshitz force (CLF) between a gold plate and a graphene-covered dielectric grating. Using a scattering matrix (S-matrix) approach derived from the Fourier Modal Method (FMM), we find a significant enhancement in the…

Mesoscale and Nanoscale Physics · Physics 2025-02-20 Youssef Jeyar , Minggang Luo , Brahim Guizal , H. B. Chan , Mauro Antezza

A quite straightforward approximation for the electrostatic interaction between two perfectly conducting surfaces suggests itself when the distance between them is much smaller than the characteristic lengths associated to their shapes.…

Classical Physics · Physics 2015-06-03 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

The proximity force approximation (PFA) relates the interaction between closely spaced, smoothly curved objects to the force between parallel plates. Precision experiments on Casimir forces necessitate, and spur research on, corrections to…

Quantum Physics · Physics 2014-10-30 G. Bimonte , T. Emig , R. L. Jaffe , M. Kardar

We study the Casimir effect in a system composed of two Weyl semimetals (WSMs) separated by a gap filled with a chiral medium. We calculate the optical response of the material to chiral photons in order to calculate the Casimir force. We…

Mesoscale and Nanoscale Physics · Physics 2020-07-08 M. Belén Farias , Alexander A. Zyuzin , Thomas L. Schmidt

We demonstrate the Casimir interaction between two ferromagnetic boundary surfaces using the dynamic atomic force microscope. The experimental data are found to be in excellent agreement with the predictions of the Lifshitz theory for…

Other Condensed Matter · Physics 2013-04-01 A. A. Banishev , G. L. Klimchitskaya , V. M. Mostepanenko , U. Mohideen

Barash has calculated the Casimir forces between parallel birefringent plates with optical axes parallel to the plate boundaries [Izv. Vyssh. Uchebn.\ Zaved., Radiofiz., {\bf 12}, 1637 (1978)]. The interesting new feature of the solution…

Quantum Physics · Physics 2009-11-13 T. G. Philbin , U. Leonhardt

We give a robust formulation to calculate the Casimir energy and Casimir force for plane-parallel multilayer setups with general dielectric constants. We derive recursion relations for multilayer reflection and transmission coefficients in…

Quantum Physics · Physics 2025-03-07 Kyohei Mukaida , Hideo Iizuka , Kazunori Nakayama

We analyze the Casimir-Lifshitz effect associated with the electromagnetic field in the presence of a rectangular waveguide consisting of two distinct dielectric materials in a $(3+1)$-dimensional spacetime. We employ the surface mode…

Quantum Physics · Physics 2024-10-16 E. Arias , G. O. Heymans , N. F. Svaiter

Broadband optical response governs light-matter interactions across photonics, plasmonics, thermal radiation, and quantum fluctuation electrodynamics, yet determining a continuous dielectric function over many decades in frequency typically…

Quantum Physics · Physics 2026-05-25 Calum F. Shelden , Jeremy N. Munday

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

We demonstrate that a very recently obtained formula for the force on a slab in a material planar cavity based on the calculation of the vacuum Lorentz force [C. Raabe and D.-G. Welsch, Phys. Rev. A 71, 013814 (2005)] describes a (medium)…

Quantum Physics · Physics 2009-11-11 M. S. Tomas

We investigate the Casimir pressure between two parallel plates made of magnetic materials at nonzero temperature. It is shown that for real magnetodielectric materials only the magnetic properties of ferromagnets can influence the Casimir…

Quantum Physics · Physics 2015-05-14 G. L. Klimchitskaya , B. Geyer , V. M. Mostepanenko

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

We discuss the Casimir effect between two identical, parallel slabs, emphasizing the role of dissipation and temperature. Starting from quite general assumptions, we analyze the behavior of the Casimir entropy in the limit T->0 and link it…

Quantum Physics · Physics 2009-11-13 F. Intravaia , C. Henkel

Within mean-field theory we determine the universal scaling function for the effective force acting on a single colloid located near the interface between two coexisting liquid phases of a binary liquid mixture close to its critical…

Soft Condensed Matter · Physics 2015-06-22 Adam D. Law , Ludger Harnau , Matthias Troendle , Siegfried Dietrich

We study the Casimir force between a nanoparticle and a substrate. We consider the interaction of metal nanoparticles with different substrates within the dipolar approximation. We study the force as a function of the distance for gold and…

Quantum Physics · Physics 2008-04-15 C. E. Roman-Velazquez , Cecilia Noguez , C. Villarreal , R. Esquivel-Sirvent

We calculate the lateral Lifshitz force between corrugated dielectric slabs of finite thickness. Taking the thickness of the plates to infinity leads us to the lateral Lifshitz force between corrugated dielectric surfaces of infinite…

Other Condensed Matter · Physics 2018-03-09 Prachi Parashar , Kimball A. Milton , Inés Cavero-Peláez , K. V. Shajesh