Casimir force of two-component Bose-Einstein condensates confined by a parallel plate geometry

TL;DR

This paper calculates the Casimir force in two-component Bose-Einstein condensates confined between parallel plates, revealing conditions under which the force vanishes, using field theory in a one-loop approximation.

Contribution

It provides a novel calculation of the Casimir energy and force for two-component BECs with specific boundary conditions, highlighting the effects of interactions and segregation.

Findings

Casimir force equals the sum of each component's force in one-loop approximation.

Force vanishes when inter-plate distance is large, intraspecies interaction is zero, or full segregation occurs.

Results depend on boundary conditions and interaction strengths.

Abstract

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.