Casimir effect for a Bose-Einstein condensate inside a cylindrical tube
Shyamal Biswas, Saugata Bhattacharyya, and Amit Agarwal
TL;DR
This paper analyzes the Casimir effect on an interacting Bose-Einstein condensate confined within a cylindrical geometry, identifying mean-field and quantum fluctuation contributions, with analytical predictions applicable to experimental setups involving superfluid helium.
Contribution
It provides the first analytical description of Casimir forces in a BEC inside a cylindrical tube, including both mean-field and quantum fluctuation effects.
Findings
Analytical expression for Casimir force in cylindrical BEC
Prediction of Casimir force on superfluid helium below lambda point
Potential for experimental verification of the theoretical results
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 He well below the -point, and can be tested experimentally.
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