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

Shyamal Biswas; Saugata Bhattacharyya; Amit Agarwal

doi:10.1088/0953-4075/49/1/015301

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

Statistical Mechanics 2015-11-30 v6

Authors: Shyamal Biswas , Saugata Bhattacharyya , Amit Agarwal

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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.

Keywords

bose-einstein condensate casimir effect bose-einstein condensation

Cite

@article{arxiv.1408.5826,
  title  = {Casimir effect for a Bose-Einstein condensate inside a cylindrical tube},
  author = {Shyamal Biswas and Saugata Bhattacharyya and Amit Agarwal},
  journal= {arXiv preprint arXiv:1408.5826},
  year   = {2015}
}

Comments

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

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

Abstract

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