Search

MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
69/2018

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

Biao-Liang Ye, Bo Li, Zhi-Xi Wang, Xianqing Li-Jost and Shao-Ming Fei

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.

Received:
Aug 20, 2018
Published:
Aug 28, 2018

Related publications

inJournal
2018 Journal Open Access
Biao-Liang Ye, Zhi-Xi Wang, Xianqing Li-Jost and Shao-Ming Fei

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

In: Science in China : physics, mechanics and astronomy, 61 (2018), p. 110312