Bose–Einstein condensation and the Casimir effect for an ideal Bose gas confined between two slabs

Abstract

We study the Casimir effect for a 3D system of ideal Bose gas in a slab geometry with a Dirichlet boundary condition. We calculate the temperature (T) dependence of the Casimir force below and above the Bose–Einstein condensation temperature (Tc). At T ⩽ Tc the Casimir force vanishes as . For T ≳ Tc it weakly depends on temperature. For T ≫ Tc it vanishes exponentially. At finite temperatures this force for thermalized photons in between two plates has a classical expression which is independent of ℏ. At finite temperatures the Casimir force for our system depends on ℏ.