Slave boson model for two-dimensional trapped Bose-Einstein condensate

TL;DR

This paper develops a slave boson model for a two-dimensional trapped Bose-Einstein condensate, analyzing the effects of higher order interactions on density profiles using a density functional approach.

Contribution

It introduces a slave boson representation applicable across all density regimes for 2D Bose gases in traps, linking it to Kohn-Sham equations.

Findings

Higher order interactions significantly influence density profiles.

The slave boson model provides a versatile framework for 2D Bose systems.

Mapping to Kohn-Sham equations facilitates analysis of density effects.

Abstract

A system of N bosons in a two-dimensional harmonic trap is considered. The system is treated in term of the slave boson representation for hard-core bosons which is valid in the arbitrary density regimes. I discuss the consequences of higher order interactions on the density profiles by mapping the slave boson equation to the known Kohn-Sham type equation within the density functional scheme.