Abstract
We explore the Casimir effect on an interacting Bose–Einstein condensate (BEC) inside a cylindrical tube. The Casimir force for the confined BEC consists 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 4He well below the λ-point, and can be tested experimentally.
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