The repulsive Casimir-type forces in binary mixture of weakly interacting Bose–Einstein condensates gases

Journal Article · Mon Nov 15 04:00:00 EST 2021 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2021.168661· OSTI ID:23183190

Highlights: • The equations of the state of a binary mixture weakly interacting Bose gases are established based on the Lagrangian of the system. • The formulae of the Casimir-type energy and the resulting Casimir-type force are produced from the quantum part of the grand canonical energy. • The results for the Casimir-type effect in the one-field case can be re-obtained by using the results of the two-field case. Within the framework of the quantum field theory (QFT) in the one-loop approximation, we investigate the Casimir-type effect in a mixture of two-component weakly interacting Bose-Einstein condensates (BECs) gases confined between two parallel plates at zero temperature. The Casimir-type forces in the miscible state of BECs for different boundary conditions (BCs) are discovered and compared to each other. The repulsive nature of the Casimir-type force in BECs is defined for the first time. Our calculations are finished in both grand canonical ensemble (GCE) and canonical ensemble (CE).

• OSTI ID: 23183190
• Journal Information: Annals of Physics, Journal Name: Annals of Physics Vol. 434; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BINARY MIXTURES
BOSE-EINSTEIN CONDENSATION
BOSE-EINSTEIN GAS
BOUNDARY CONDITIONS
CONDENSATES
GASES
LAGRANGIAN FUNCTION
PLATES
QUANTUM FIELD THEORY