Casimir effect for a Bose-Einstein condensate inside a cylindrical tube

Abstract

We explore Casimir effect on an interacting Bose-Einstein condensate (BEC) inside a cylindrical tube. The Casimir force for the confined BEC comprises of (i) a mean-field part arising from the spatial inhomogeneity of the condensate order parameter, and (ii) a quantum fluctuation part arising from the confinement of Bogoliubov excitations in the condensate. Our analytical result predicts Casimir force on a cylindrical shallow of ${}^4$He well below the $\lambda$-point, and can be tested experimentally.

Quantum liquid part of the version-1 after major revisions. 9 pages, 2 figures. Accepted in Journal of Physics B: Atomic, Molecular & Optical Physics

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Cited by in corpus (1)

• Critical Casimir Effect: Exact Results