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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
  • Shao-Ming Fei
Open Access
Article
  • 61 Downloads

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 l1-norm and relative entropy) decreases as the DM coupling increases. Herein, we present both analytical and numerical results.

Keywords

quantum Fisher information quantum coherence XY spin models Dzyaloshinsky-Moriya interactions 

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© The Author(s) 2018

Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://doi.org/creativecommons.org/licenses/by/4.0/), which permits use, duplication adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

Authors and Affiliations

  1. 1.Quantum Information Research Center, School of Physics and Electronic InformationShangrao Normal UniversityShangraoChina
  2. 2.Jiangxi Province Key Laboratory of Polymer Preparation and ProcessingShangraoChina
  3. 3.School of Mathematics and Computer SciencesShangrao Normal UniversityShangraoChina
  4. 4.Max-Planck-Institute for Mathematics in the SciencesLeipzigGermany
  5. 5.School of Mathematical SciencesCapital Normal UniversityBeijingChina
  6. 6.School of Mathematics and StatisticsHainan Normal UniversityHaikouChina

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