Reply to "Comment on 'Bose-Einstein condensation with a finite number of particles in a power-law trap'"

TL;DR

This paper defends a previous analytical model for Bose-Einstein condensation in finite particle systems, clarifying its valid application range and addressing criticisms based on model misapplication.

Contribution

It clarifies the valid range of their analytical model and responds to criticisms by explaining the model's limitations and proper application.

Findings

The model's validity is limited to certain atom numbers and trap anisotropies.

Discrepancies occur outside the model's valid range, not due to fundamental flaws.

The authors clarify the correct application of their previous model.

Abstract

In this reply we show that the criticisms raised by J. Noronha are based on a misapplication of the model we have proposed in [A. Jaouadi, M. Telmini, E. Charron, Phys. Rev. A 83, 023616 (2011)]. Here we explicitly discuss the range of validity of the approximations underlying our analytical model. We also show that the discrepancies pointed out for very small atom numbers and for very anisotropic traps are not surprising since these conditions exceed the range of validity of the model.