The forces on a single interacting Bose–Einstein condensate

•Calculate the Casimir force and surface tension force of Bose–Einstein condensate in both grand canonical ensemble and canonical ensemble.•Phase transition in space of the ground state of Bose–Einstein condensate.•Compare the surface tension force with Casimir force in both ensembles. Using double...

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Bibliographic Details
Published in:Physics letters. A 2018-04, Vol.382 (16), p.1078-1084
Main Author: Thu, Nguyen Van
Format: Article
Language:English
Subjects:
Bose–Einstein condensate
Canonical ensemble and Grand canonical ensemble
Casimir force
Surface tension force
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Summary:•Calculate the Casimir force and surface tension force of Bose–Einstein condensate in both grand canonical ensemble and canonical ensemble.•Phase transition in space of the ground state of Bose–Einstein condensate.•Compare the surface tension force with Casimir force in both ensembles. Using double parabola approximation for a single Bose–Einstein condensate confined between double slabs we proved that in grand canonical ensemble (GCE) the ground state with Robin boundary condition (BC) is favored, whereas in canonical ensemble (CE) our system undergoes from ground state with Robin BC to the one with Dirichlet BC in small-L region and vice versa for large-L region and phase transition in space of the ground state is the first order. The surface tension force and Casimir force are also considered in both CE and GCE in detail.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2018.02.030