Compositeness Effects in the Bose-Einstein Condensation

TL;DR

This paper explores how slight deviations from ideal bosonic behavior in atomic Bose-Einstein condensates can be modeled using quon algebra, leading to a generalized Gross-Pitaevskii equation that explains experimental discrepancies.

Contribution

It introduces a formalism using quon algebra to account for compositeness effects in Bose-Einstein condensates, extending the Gross-Pitaevskii equation to include non-ideal behaviors.

Findings

Universal fittings of the deformation parameter explain experimental discrepancies.

The generalized equation models condensate collapse and depletion.

Deviations from pure bosonic behavior are quantitatively characterized.

Abstract

Small deviations from purely bosonic behavior of trapped atomic Bose-Einstein condensates are investigated with the help of the quon algebra, which interpolates between bosonic and fermionic statistics. A previously developed formalism is employed to obtain a generalized version of the Gross-Pitaeviskii equation. Two extreme situations are considered, the collapse of the condensate for attractive forces and the depletion of the amount of condensed atoms with repulsive forces. Experimental discrepancies observed in the parameters governing the collapse and the depletion of the condensates can be accounted for by universal fittings of the deformation parameter for each case.