Abstract
The forces on a single Bose–Einstein condensate confined between two parallel plates consist of two components, namely, surface tension force and Casimir force. In canonical ensemble, these forces are quite different from the one in grand canonical ensemble. In small region with distance \(\ell \) between two parallel plates, using double parabola approximation, we find that surface tension force decreases as \({{\ell }^{{ - 3}}}\), whereas the Casimir force, in one-loop approximation of the quantum field, is proportional to \({{\ell }^{{ - 13/2}}}\). The total force is also considered and its veer is found.
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ACKNOWLEDGMENTS
We are grateful to Prof. Tran Huu Phat and Shyamal Biswas for their useful discussions.
Funding
This work is funded by the Vietnam National Foundation for Science and Technology Development (NAFOSTED) under Grant no. 103.01-2018.02.
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Nguyen Van Thu, Theu, L.T. & Hai, D.T. Casimir and Surface Tension Forces on a Single Interacting Bose–Einstein Condensate in Canonical Ensemble. J. Exp. Theor. Phys. 130, 321–326 (2020). https://doi.org/10.1134/S1063776120020168
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DOI: https://doi.org/10.1134/S1063776120020168