Bose-Einstein condensation and Casimir effect for ideal Bose Gas confined between two slabs

Abstract

We study the Casimir effect for a 3-d system of ideal Bose gas in a slab geometry with Dirichlet boundary condition. We calculate the temperature($T$) dependence of the Casimir force below and above the Bose-Einstein condensation temperature($T_c$). At $T\le T_c$ the Casimir force vanishes as $[\frac{T}{T_c}{]}^{3/2}$. For $T\gtrsim T_c$ it weakly depends on temperature. For $T\gg T_c$ it vanishes exponentially. At finite temperatures this force for thermalized photons in between two plates has a classical expression which is independent of $\hslash$. At finite temperatures the Casimir force for our system depends on $\hslash$.

4 pages,1 figure

References in corpus (5)

• Critical Casimir force in ${}^4$He films: confirmation of finite-size scaling
• Thermal corrections to the Casimir effect
• Hamiltonian approach to the dynamical Casimir effect
• Relation between the thermodynamic Casimir effect in Bose-gas slabs and critical Casimir forces
• Bose-Einstein Condensation and Casimir Effect of Trapped Ideal Bose Gas in between two Slabs

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