Comment on "Polar and antiferromagnetic order in f=1 boson systems"

TL;DR

This paper critiques a previously derived inequality for spin-1 condensates, demonstrating its limited applicability in typical experimental conditions due to negative bounds.

Contribution

It clarifies the limitations of an existing inequality for hyperfine component populations in spin-1 condensates under magnetic fields.

Findings

The lower bound inequality can be negative in typical experimental parameters.

The applicability of the inequality is more limited than previously suggested.

Abstract

An inequality for the lower bound of the average number of hyperfine component $\mu =0$ particles in the ground state of spin-1 condensates under a magnetic field has been derived in ref.\cite{tasa13}. It is shown in this comment that, in a broad domain of parameters usually accessed in experiments, the lower bound appears to be negative. Thus the applicability of the inequality is very limited.