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对一维XXZ海森堡开链模型基态纠缠度计算的分析
引用本文:韩文娟,周勋.对一维XXZ海森堡开链模型基态纠缠度计算的分析[J].贵州大学学报(自然科学版),2010,27(4):25-28.
作者姓名:韩文娟  周勋
作者单位:1. 六盘水师范学院物理系,贵州,水城,553004
2. 贵州师范大学物理与电子科学学院,贵州,贵阳,550001
基金项目:六盘水师范学院基金资助,贵州六盘水市科技基金资助 
摘    要:本文对一维XXZ海森堡开链模型基态纠缠度的计算作分析.研究方法是用von Neumann熵定义的纠缠度与模型的基态本征矢建立联系计算该模型体系的基态纠缠度,并据计算结果作分析.研究结论:(1)用von Neumann熵计算本模型纠缠度时所得约化密度矩阵具有规律性;(2)本模型在顺、反铁磁情形下N为偶数且位型为N,N/2]时,基态纠缠度η=1,体现了自旋链格点中填放自旋向上和向下的电子数相等时η的对称性;(3)顺、反磁情况下N为奇、偶数时在参数0到1区间内η的变化趋势一致,体系为有纠缠的连续长程相,参数为1.0时η值突变,出现拐点,体现模型体系从有序到有序的相变;(4)利用本征矢跟踪法将图象中的游离数据消除以得到清晰图象。

关 键 词:海森堡链  von  Neumann熵  基态纠缠度  相变

The analyses of calculation of the ground entanglement of the XXZ model of Heisenberg open chains in one dimension
HAN Wen-Juan,ZHOU Xun.The analyses of calculation of the ground entanglement of the XXZ model of Heisenberg open chains in one dimension[J].Journal of Guizhou University(Natural Science),2010,27(4):25-28.
Authors:HAN Wen-Juan  ZHOU Xun
Institution:HAN Wen-Juan1,ZHOU Xun2(1.Dept of physics Liupanshui Teachers College,Shuicheng 553004,China,2.School Physics and Electronics of sciences,Guizhou Normal University,Guiyang 550001,China)
Abstract:The analyses of the calculation of the ground entanglement of the XXZ model of Heisenberg open chain in one dimension were showed in this paper.The ground entanglement of this model was worked out by the method connecting the entanglenent defined by von Neumann entropy with the ground eigenvectors and the analyses according to the results of the calculation were showed.The conclusions are as following.(1) The density matrix of the model calculated by von Neumann entropy has rules;(2) The ground entanglement...
Keywords:Heisenberg chain  von Neumann entropy  ground entanglement  phase transition  
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