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The Repulsive Casimir-Type Forces of a Weakly Interacting Bose–Einstein Condensate Gas

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Abstract

By means of the quantum field theory (QFT) in the one-loop approximation, we consider the finite-size effect of the quantum fluctuation energy of a weakly interacting Bose–Einstein condensate (BEC) gas confined between two parallel plates of a three-dimensional rectangular. We find the repulsive Casimir-type force acts on the plates when either Zaremba boundary condition (BC) or anti-periodic BC is imposed. Our results are obtained in both grand canonical ensemble (GCE) and canonical ensemble (CE).

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Acknowledgements

This research is funded by Ministry of Education and Training of Vietnam under grant number B2019-TTB-08. The fruitful discussions with P.N. Thu and L.T. Lam are acknowledged with thanks.

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  1. Faculty of Natural Sciences-Technology, Tây Bắc University, Sơn La, Sơn La, Việt Nam

    Pham The Song

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Song, P.T. The Repulsive Casimir-Type Forces of a Weakly Interacting Bose–Einstein Condensate Gas. J Low Temp Phys 206, 16–31 (2022). https://doi.org/10.1007/s10909-021-02641-4

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