Effect of curvature and confinement on the CasimirPolder interaction
Abstract
Modifications of CasimirPolder interactions due to confinement inside a cylindrical cavity and due to curvature in and outside the cavity are studied. We consider a perfectly conducting cylindrical shell with a single particle (atom or macroscopic sphere) located next to its interior or exterior surface or two atoms placed inside the shell. By employing the scattering approach, we obtain the particlecavity interaction and the modification of the twoparticle interaction due to the cavity. We consider both retardation and thermal effects. While for the atoms a dipole description is sufficient, for the macroscopic sphere we sum (numerically) over many multipole fluctuations to compute the interaction at short separations. In the latter limit we make comparisons to the proximity approximation and a gradient expansion and find agreement. Our results indicate a confinementinduced suppression of the force between atoms. General criteria for suppression and enhancement of Casimir interactions due to confinement are discussed.
 Publication:

Physical Review A
 Pub Date:
 January 2015
 DOI:
 10.1103/PhysRevA.91.012516
 arXiv:
 arXiv:1410.0513
 Bibcode:
 2015PhRvA..91a2516R
 Keywords:

 31.30.jh;
 03.70.+k;
 QED corrections to longrange and weak interactions;
 Theory of quantized fields;
 Condensed Matter  Statistical Mechanics
 EPrint:
 13 pages, 11 figures