Quantum Fisher information and coherence in one-dimensional $XY$ spin models with Dzyaloshinsky-Moriya interactions

TL;DR

This paper explores how Dzyaloshinsky-Moriya interactions affect quantum phase transitions in one-dimensional XY spin models, using quantum Fisher information and coherence measures to identify critical points and their suppression.

Contribution

It provides analytical and numerical analysis showing that higher DM couplings suppress quantum phase transitions and reduce quantum coherence in XY spin models.

Findings

Higher DM couplings suppress quantum phase transitions

Quantum coherence decreases with increasing DM interaction

Quantum Fisher information identifies critical points effectively

Abstract

We investigate quantum phase transitions in $XY$ spin models using Dzyaloshinsky-Moriya (DM) interactions. We identify the quantum critical points via quantum Fisher information and quantum coherence, finding that higher DM couplings suppress quantum phase transitions. However, quantum coherence (characterized by the $l_1$-norm and relative entropy) decreases as the DM coupling increases. Herein, we present both analytical and numerical results.