Journal of Statistical Physics

, Volume 168, Issue 1, pp 1–10 | Cite as

Casimir Force of Two-Component Bose–Einstein Condensates Confined by a Parallel Plate Geometry

  • Nguyen Van Thu
  • Luong Thi Theu


Using field theory we calculate the Casimir energy and Casimir force of two-component Bose-Einstein condensates restricted between two parallel plates, in which Dirichlet and periodic boundary conditions applied. Our results show that, in one-loop approximation, the Casimir force equals to summation of the one of each component and it is vanishing in some cases: (i) inter-distance between two plates becomes large enough; (ii) intraspecies interaction is zero; (iii) interspecies interaction is full strong segregation.


Bose–Einstein mixtures Casimir force Finite-size effect 

Mathematics Subject Classification

81T55 82B10 82D05 



It is our pleasure to acknowledge valuable discussions with Prof. Tran Huu Phat, Jurgen Schiefele, Shyamal Biswas and Nguyen Thi Tham.


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Copyright information

© Springer Science+Business Media New York 2017

Authors and Affiliations

  1. 1.Institute for Research and DevelopmentDuy Tan UniversityDa NangVietnam
  2. 2.Department of PhysicsHanoi Pedagogical University 2HanoiVietnam

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