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The Casimir effect results from the optomechanical coupling between field fluctuations and mirrors in quantum vacuum. This contribution to the 20th International Conference on Laser Spectroscopy (ICOLS 2011) discusses the current status in…

Quantum Physics · Physics 2014-09-16 Astrid Lambrecht , Serge Reynaud

We consider the Casimir interaction, mediated by massless fermions, between a spherical defect and a flat potential barrier, assuming hard (bag-type) boundary conditions at both the barrier and the surface of the sphere. The computation of…

High Energy Physics - Theory · Physics 2015-07-06 Antonino Flachi , Lee-Peng Teo

In this paper, we study the problem of an impurity with infinite mass and the Casimir force between two impurities immersed in a Bose-Einstein condensate. Our calculation results shows that the Casimir force decays exponentially in distance…

Quantum Gases · Physics 2018-07-24 Jian-Hua Liu , Yao-Hui Zhu , Pei-Song He

We study Casimir effect in equilibrium and non-equilibrium photon gas in the frame of quantum kinetic theory for $U(1)$ gauge field. We derive first the transport, constraint and gauge fixing equations for the photon number distribution…

Quantum Physics · Physics 2022-07-13 Xingyu Guo , Jiaxing Zhao , Pengfei Zhuang

We show that in theory it is possible to obtain a Casimir interaction potential that varies with distance as 1/r. We achieve this by invoking hypothetical particles having a harmonic oscillator interaction potential. The derivation…

Other Condensed Matter · Physics 2008-06-13 Bo E. Sernelius

We consider an impurity in a semi-infinite one-dimensional system of weakly-interacting bosons. We calculate the interaction potential for the impurity due to the end of the system, i.e., the wall. For local repulsive (attractive)…

Quantum Gases · Physics 2019-12-19 Benjamin Reichert , Aleksandra Petkovic , Zoran Ristivojevic

The Casimir interaction energy due to the vacuum fluctuations of a massive vector field between two perfectly conducting concentric spherical bodies is computed. The TE contribution to the Casimir interaction energy is a direct…

Quantum Physics · Physics 2015-05-20 L. P. Teo

The Casimir effect refers to the existence of a macroscopic force between conducting plates in vacuum due to quantum fluctuations of fields. These forces play an important role, among other things, in the design of nano-scale mechanical…

High Energy Physics - Theory · Physics 2015-06-03 Dimitra Karabali

We study the fluctuation-induced interaction between two impurities in a weakly-interacting one-dimensional Bose gas using the field theoretical approach. At separations between impurities shorter and of the order of the healing length of…

Quantum Gases · Physics 2019-05-16 Benjamin Reichert , Aleksandra Petkovic , Zoran Ristivojevic

Zero-point fluctuations in quantum fields give rise to observable forces between material bodies, the so-called Casimir forces. In these lectures I present the theory of the Casimir effect, primarily formulated in terms of Green's…

High Energy Physics - Theory · Physics 2007-05-23 Kimball A. Milton

A multiple scattering formulation is used to calculate the force, arising from fluctuating scalar fields, between distinct bodies described by $\delta$-function potentials, so-called semitransparent bodies. (In the limit of strong coupling,…

High Energy Physics - Theory · Physics 2008-11-26 Kimball A. Milton , Jef Wagner

The Casimir force between two short-range charge sources, embedded in a background of one dimensional massive Dirac fermions, is explored by means of the original $\ln\text{[Wronskian]}$ contour integration techniques. For identical sources…

High Energy Physics - Theory · Physics 2019-06-19 Yu. Voronina , I. Komissarov , K. Sveshnikov

We study the electromagnetic Casimir interaction of a compact object contained inside a closed cavity of another compact object. We express the interaction energy in terms of the objects' scattering matrices and translation matrices that…

Quantum Physics · Physics 2010-11-16 Saad Zaheer , Sahand Jamal Rahi , Thorsten Emig , Robert L. Jaffe

We study collective interaction effects that result from the change of free quantum electrodynamic field fluctuations by one- and two-dimensional perfect metal structures. The Casimir interactions in geometries containing plates and…

Statistical Mechanics · Physics 2014-11-18 Sahand Jamal Rahi , Thorsten Emig , Robert L. Jaffe , Mehran Kardar

The strong coupling between electromagnetic field and lattice oscillation in piezoelectric materials gives rise to phonon polariton excitations. Such quasiparticles open up new directions in modulating the ubiquitous Casimir force. Here by…

Mesoscale and Nanoscale Physics · Physics 2025-02-04 Dai-Nam Le , Pablo Rodriguez-Lopez , Lilia M. Woods

The vacuum energy of a bosonic field interacting locally with objects is decomposed into irreducible $N$-body parts. The irreducible $N$-body contribution to the vacuum energy is finite if the common intersection $O_1\cap O_2...\cap O_N$ of…

Quantum Physics · Physics 2011-05-10 Martin Schaden

Two close parallel mirrors attract due to a small force (Casimir effect) originating from the electromagnetic quantum vacuum uctuations of the electromagnetic field. These vacuum uctuations can also induce motional forces exerted upon one…

The Casimir-Polder force acts on polarizable particles due to quantum fluctuations of the electromagnetic field that are modified by the presence of material bodies. We investigate the Casimir-Polder interaction for atoms near cylindrical…

Quantum Physics · Physics 2026-05-28 Bettina Beverungen , Daniel Reiche , Kurt Busch , Francesco Intravaia

The presence of finite energy in quantum vacuum has profound implications to physics at the microscopic and macroscopic levels. One of the direct consequences of vacuum energy is the Casimir Force, which is a force of attraction experienced…

General Relativity and Quantum Cosmology · Physics 2009-09-29 G. Rajalakshmi

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