The Casimir effect in a dilute Bose gas at zero-temperature taking into account the contribution of self-energy within CJT theory

Abstract

The Casimir effect in a weakly interacting Bose-Einstein condensate (BEC) gas is investigated at zero temperature within the Cornwall-Jackiw-Tomboulis (CJT) effective action approach under elastic and twisted boundary conditions (BCs) of the wave vector. After discussing the rationales for applying the CJT theory to a confinement BEC system, we establish the analytical formulae and then evaluate the numerical values of the Casimir force, which are essential for the observation experiment of the theoretical results.