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

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Abstract

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.

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Funding

This work is funded by the Vietnam National Foundation for Science and Technology Development (NAFOSTED) under Grant no. 103.01-2018.02. We are grateful to Shyamal Biswas for their useful discussions.

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  1. Department of Physics, Hanoi Pedagogical University 2, 100000, Hanoi, Vietnam

    Nguyen Van Thu

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  1. Nguyen Van Thu
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Correspondence to Nguyen Van Thu.

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Van Thu, N. The Casimir Effect in Bose–Einstein Condensate Mixtures Confined by a Parallel Plate Geometry in the Improved Hartree–Fock Approximation. J. Exp. Theor. Phys. 135, 147–157 (2022). https://doi.org/10.1134/S1063776122080131

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  • DOI: https://doi.org/10.1134/S1063776122080131

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