{"title":"Dynamics of Quantum Correlation in Two-Qubit Heisenberg XYZ Hamiltonian With Nonuniform Magnetic Field","authors":"Su-Bok Ri, Gwang-Jin Kim, Ha Kim","doi":"10.1007/s10773-024-05842-1","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper we investigate the quantum correlation(geometric quantum discord and quantum entanglement) in two-qubit Heisenberg XYZ Hamiltonian with Dzyaloshinskii-Moriya interaction and Kaplan–Shekhtman–Entin-Wohlman–Aharony interaction under the effect of nonuniform external magnetic field. Here, we calculate the effect of nonuniform magnetic field, exchange interaction <span>\\({J}_{x},{J}_{y},{J}_{z}\\)</span>, Dzyaloshinskii –Moriya interaction <span>\\(D\\)</span> and Kaplan–Shekhtman–Entin-Wohlman–Aharony interaction <span>\\(\\Gamma\\)</span> on the quantum correlation`dynamics in case of the antiferromagnetism. The results obtained reveal that the nonuniform part of the external magnetic field plays the important role in the preservation of quantum correlation. Also, it is shown that the geometric quantum discord is more robust than the quantum entanglement and the effect of the different parameters on the quantum correlation` dynamic depend noticeably on choice of initial state.</p><h3>Graphical Abstract</h3><p>In Fig. 13, we indicate the time evolution of GQD and QE for various <span>\\(b=1,1.5,2,4\\)</span> with <span>\\(=0.99,\\gamma =1,{J}_{x}=2,{J}_{y}=1.5,,{J}_{z}=1,D=0.5,\\Gamma =0.2,B=1\\)</span>.</p>\n<div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 12","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2024-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Theoretical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s10773-024-05842-1","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper we investigate the quantum correlation(geometric quantum discord and quantum entanglement) in two-qubit Heisenberg XYZ Hamiltonian with Dzyaloshinskii-Moriya interaction and Kaplan–Shekhtman–Entin-Wohlman–Aharony interaction under the effect of nonuniform external magnetic field. Here, we calculate the effect of nonuniform magnetic field, exchange interaction \({J}_{x},{J}_{y},{J}_{z}\), Dzyaloshinskii –Moriya interaction \(D\) and Kaplan–Shekhtman–Entin-Wohlman–Aharony interaction \(\Gamma\) on the quantum correlation`dynamics in case of the antiferromagnetism. The results obtained reveal that the nonuniform part of the external magnetic field plays the important role in the preservation of quantum correlation. Also, it is shown that the geometric quantum discord is more robust than the quantum entanglement and the effect of the different parameters on the quantum correlation` dynamic depend noticeably on choice of initial state.
Graphical Abstract
In Fig. 13, we indicate the time evolution of GQD and QE for various \(b=1,1.5,2,4\) with \(=0.99,\gamma =1,{J}_{x}=2,{J}_{y}=1.5,,{J}_{z}=1,D=0.5,\Gamma =0.2,B=1\).
期刊介绍:
International Journal of Theoretical Physics publishes original research and reviews in theoretical physics and neighboring fields. Dedicated to the unification of the latest physics research, this journal seeks to map the direction of future research by original work in traditional physics like general relativity, quantum theory with relativistic quantum field theory,as used in particle physics, and by fresh inquiry into quantum measurement theory, and other similarly fundamental areas, e.g. quantum geometry and quantum logic, etc.