关于一维XXZ海森堡自旋开、闭链模型关联特性的对比研究  

Comparative investigation on correlation properties of XXZ open and closed spin chain of Heisenberg model in one-dimension

作　　者：韩文娟[1] 强睿[1] 彭定燕 HAN Wenjuan;QIANG Rui;PENG Dingyan(School of Physics and Electrical Engineering,Liupanshui Normal University,Liupanshui 553004,China)

机构地区：[1]六盘水师范学院物理与电气工程学院,贵州六盘水553004

出　　处：《量子电子学报》2020年第6期711-718,共8页Chinese Journal of Quantum Electronics

基　　金：教育部高等学校大学物理课程教学指导委员会高等学校教学研究项目,DJZW201934xn;六盘水师范学院硕士学位培育点学科建设项目,LPSSYSSDYPY201704;六盘水师范学院《热学》精品课,LPSSYjpkc201605;六盘水师范学院科技创新团队项目,LPSSYKJTD201901;六盘水师范学院大学生项目,LPSSYDXS19078。

摘　　要：对一维XXZ海森堡自旋链模型的哈密顿量和平均磁化强度进行定义,计算了不同参数、不同位型[N;k]时一维XXZ海森堡自旋开、闭链模型的基态、激发态能量及平均磁化强度,并根据计算结果对比分析了系统的关联度及相变情况。研究表明系统的基态、激发态能量随参数、位型[N;k]的变化很好地体现着系统的关联度情况,根据系统的基态能量随参数变化出现的拐点以及激发态与基态能差随参数变化出现的简并情况找到系统的相变点。开、闭链所做计算结果大体相同,但闭链相对开链模型的计算效果要更直观、明显些。一维XXZ海森堡自旋开、闭链模型的能量和平均磁化强度很好地反映了体系的关联度及相变情况,为深入了解海森堡模型量子关联特性提供了参考。The definition of the Hamiltonian and mean magnetization of XXZ open and closed spin chain of Heisenberg model in one-dimension is given,then the ground state,excited state energy and mean magnetization of the XXZ Heisenberg model of the open and closed spin chain in one dimension are calculated under different parameters and different configuration[N;k].At last,the correlation degree and phase transition of XXZ open and closed spin chain of Heisenberg model in one-dimension are analyzed comparatively according to the calculation results.Results show that the correlation degree is embodied very well when the energy difference between the ground state and the excited state change along with the parameter or configuration[N;k].The phase transition point of the system can be found according to the inflection point that the ground state energy changes along with the change of the parameter and the degeneracy that the energy difference between the excited state and the ground state changes with the parameter.It is also shown that the calculation results of the open and closed spin chain are same roughly,however,the calculation effect of the closed chain model is more intuitive and obvious than that of the open chain model.The correlation properties and phase transition of the XXZ open and closed spin chain of Heisenberg model in one-dimension are compared,which provides an important reference for further understanding the quantum correlation properties of Heisenberg model.

关 键 词：量子光学 关联特性 海森堡模型 自旋链 能量 平均磁化强度 

分 类 号：O431.2[机械工程—光学工程]