Comment on ``Geometric phase of entangled spin pairs in a magnetic field''

TL;DR

This paper critiques a recent study on the geometric phase of entangled spin pairs, highlighting a fundamental error that challenges the validity of the previous results.

Contribution

It identifies and corrects a mistake in a prior work on the geometric phase of entangled spins, emphasizing the importance of proper entanglement interaction analysis.

Findings

The previous result by Ge and Wadati contains a fundamental error.

Corrected understanding of entanglement changes due to interaction.

Reinforces the need for careful analysis in geometric phase studies.

Abstract

The degree of entanglement between two spins may change due to interaction. About this we find that a wrong result in a recent work by Ge and Wadati [Phys. Rev. A {\bf72}, 052101(2005)] which breach the basic principle.