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The Lifshitz theory provides a semiclassical description of the Casimir-Polder atom-plate interaction, where the electromagnetic field is quantized whereas the material of the plate is considered as a continuous medium. This places certain…

Quantum Physics · Physics 2025-04-10 V. M. Mostepanenko

Building on work of Meixner [J. Meixner, Z. Naturforschung 3a, 506 (1948)], we show how to compute the exact scattering amplitude (or $T$-matrix) for electromagnetic scattering from a perfectly conducting disk. This calculation is a rare…

Quantum Physics · Physics 2016-09-21 Thorsten Emig , Noah Graham

Casimir-type forces, such as those between two neutral conducting plates, or between a sphere, atom or molecule and a plate have been widely studied and are becoming of increasing significance, for example, in nanotechnology. A key…

Quantum Physics · Physics 2014-03-24 Alvaro M. Alhambra , Achim Kempf , Eduardo Martin-Martinez

Based on macroscopic quantum electrodynamics in linear media, we develop a general theory of the resonant Casimir-Polder force on an excited two-level atom in the presence of arbitrary linear bodies, with special emphasis on the…

Quantum Physics · Physics 2008-08-14 Stefan Yoshi Buhmann , Dirk-Gunnar Welsch

Within leading-order perturbation theory, the Casimir-Polder potential of a ground-state atom placed within an arbitrary arrangement of dispersing and absorbing linear bodies can be expressed in terms of the polarizability of the atom and…

Quantum Physics · Physics 2007-05-23 Stefan Yoshi Buhmann , Dirk-Gunnar Welsch

We consider two three-dimensional isotropic harmonic oscillators interacting with the quantum electromagnetic field in the Coulomb gauge and within dipole approximation. Using a Bogoliubov-like transformation, we can obtain transformed…

Quantum Physics · Physics 2009-11-11 F. Ciccarello , E. Karpov , R. Passante

We develop a spectral representation formalism to calculate the Casimir force in the non-retarded limit, between a spherical particle and a substrate, both with arbitrary local dielectric properties. This spectral formalism allows one to do…

Quantum Physics · Physics 2007-05-23 Cecilia Noguez , C. E. Roman-Velazquez

An approach based on splitting the reaction potential into a finite range part and a long range tail part to describe few-body scattering in the case of a Coulombic interaction is proposed. The solution to the Schr\"odinger equation for the…

Atomic Physics · Physics 2016-06-13 E. Yarevsky , S. L. Yakovlev , N. Elander

We study interactions between localized scatterers on metallic carbon nanotubes by a mapping onto a one-dimensional Casimir problem. Backscattering of electrons between localized scattering potentials mediates long range forces between…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Dina Zhabinskaya , E. J. Mele

Polarisable atoms and molecules experience the Casimir-Polder force near magnetoelectric bodies, a force that is induced by quantum fluctuations of the electromagnetic field and the matter. Atoms and molecules in relative motion to a…

Quantum Physics · Physics 2010-01-04 Stefan Scheel , Stefan Yoshi Buhmann

We employ a multiple scattering expansion to systematically derive curvature corrections to the Casimir-Polder (CP) interaction between small an-isotropic particles and general magneto-dielectric surfaces. Our results, validated against…

Quantum Physics · Physics 2025-11-10 Giuseppe Bimonte , Thorsten Emig

We derive Casimir-Polder and van der Waals potentials of one or two atoms with diamagnetic properties in an arbitrary environment of magnetoelectric bodies. The calculations are based on macroscopic quantum electrodynamics and leading-order…

Quantum Physics · Physics 2012-11-30 Stefan Yoshi Buhmann , Hassan Safari , Stefan Scheel , A. Salam

We derive an exact analytic expression for the high-temperature limit of the Casimir interaction between two Drude spheres of arbitrary radii. Specifically, we determine the Casimir free energy by using the scattering approach in the…

Quantum Physics · Physics 2021-05-31 Tanja Schoger , Gert-Ludwig Ingold

Motivated by recently developed techniques making it possible to compute Casimir energies for any object whose scattering S-matrix (or, equivalently, T-matrix) is available, we develop a variable phase method to compute the S-matrix for…

Quantum Physics · Physics 2013-01-01 Aden Forrow , Noah Graham

The microscopic theory of the Casimir effect in the dielectric is studied in the framework when absorption is realized via a reservoir modeled by a set of oscillators with continuously distributed frquencies with the aim to see if the…

Quantum Physics · Physics 2015-06-18 M. A. Braun

The Casimir-Polder and van der Waals interactions between an atom and a flat cavity wall are investigated under the influence of real conditions including the dynamic polarizability of the atom, actual conductivity of the wall material and…

Quantum Physics · Physics 2009-03-27 V. M. Mostepanenko , J. F. Babb , A. O. Caride , G. L. Klimchitskaya , S. I. Zanette

Conventionally, dispersion forces mediated by quantum vacuum fluctuations are known to exhibit universal distance scalings, with retardation typically leading to a faster decay of the interaction. Here, we show that this expectation fails…

Quantum Physics · Physics 2026-02-02 Qihang Ye , Qihang Ye , Bing Miao , Lei Ying

We study the energy spectrum of atoms trapped in a vertical 1D optical lattice in close proximity to a reflective surface. We propose an effective model to describe the interaction between the atoms and the surface at any distance. Our…

Quantum Physics · Physics 2016-11-23 A. Maury , M. Donaire , M. -P. Gorza , A. Lambrecht , R. Guérout

Recent measurements of Casimir forces have provided evidence of an intricate modification of quantum fluctuations of the electromagnetic field in complex geometries. Here we introduce a multiple scattering description for Casimir…

Quantum Physics · Physics 2023-05-24 Thorsten Emig , Giuseppe Bimonte

The theory of scattering of atom pairs in a periodic potential is presented for the case of different atoms. When the scattering dynamics is restricted to the lowest Bloch band of the periodic potential, a separation in relative and average…

Other Condensed Matter · Physics 2009-11-13 R. T. Piil , N. Nygaard , K. Molmer