The Casimir Effect in Bose–Einstein Condensate Mixtures Confined by a Parallel Plate Geometry in the Improved Hartree–Fock Approximation

By means of the Cornwall–Jackiw–Tomboulis effective potential formalism, the Casimir effect in binary Bose–Einstein condensate mixtures is investigated. The study conditions are that the mixtures are confined between two parallel plates at zero temperature and within the improved Hartree–Fock approx...

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Bibliographic Details
Published in:Journal of experimental and theoretical physics 2022-08, Vol.135 (2), p.147-157
Main Author: Van Thu, Nguyen
Format: Article
Language:English
Subjects:
Atoms
Bose-Einstein condensates
Classical and Quantum Gravitation
Elementary Particles
Hartree approximation
Integrals
Mathematical analysis
Mixtures
Molecules
Momentum
Optics
Order parameters
Parallel plates
Particle and Nuclear Physics
Physics
Physics and Astronomy
Quantum Field Theory
Relativity Theory
Solid State Physics
Yang-Mills theory
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Summary:By means of the Cornwall–Jackiw–Tomboulis effective potential formalism, the Casimir effect in binary Bose–Einstein condensate mixtures is investigated. The study conditions are that the mixtures are confined between two parallel plates at zero temperature and within the improved Hartree–Fock approximation featuring higher-order terms in the momentum integrals. Our results show that both effective masses and order parameters strongly depend on the distance between the two plates. The Casimir energy and resulting Casimir force are scrutinized, confirming that the contribution of the higher-order terms of the momentum integrals is significant. Importantly, the Casimir force is proved to be non-zero in limit of the full strong segregation, which is an acceptable answer for the controversial problem.
ISSN:1063-7761
1090-6509
DOI:10.1134/S1063776122080131