Finite size effect on Bose-Einstein condensate mixtures in improved Hartree-Fock approximation

TL;DR

This paper investigates how the size of a confined two-component Bose-Einstein condensate affects its properties, including effective masses, order parameters, and Casimir force, using an improved Hartree-Fock approximation at zero temperature.

Contribution

It introduces an analysis of finite size effects on Bose-Einstein condensates within an improved Hartree-Fock framework, highlighting the impact on physical parameters and Casimir force.

Findings

Effective masses and order parameters depend on slab separation.

Casimir force remains non-zero in strong segregation limit.

Finite size effects significantly influence condensate properties.

Abstract

Using Cornwal-Jackiw-Tomboulis effective potential approach we found that at zero temperature, in improved Hartree-Fock approximation, the effective masses and order parameters of a two component Bose-Einstein condensates confined between two parallel plates strongly depend on the distance between two slabs. The Casimir force is also considered in this approximation and shown that this force differs from zero in limit of strong segregation.