一维量子XXZD模型的量子临界现象  

Critical phenomena of the one dimensional quantum XXZD model

作　　者：罗琴[1] 莫泽瑞 刘金花 LUO Qin;MO Zerui;LIU Jinhua(School of Physics and Electronic Science,Guizhou Normal University,Guiyang,Guizhou 550025,China;Archives of Guizhou Normal University,Guiyang,Guizhou 550025,China)

机构地区：[1]贵州师范大学物理与电子科学学院,贵州贵阳550025 [2]贵州师范大学档案馆,贵州贵阳550025

出　　处：《贵州师范大学学报（自然科学版）》2019年第4期83-85,120,共4页Journal of Guizhou Normal University：Natural Sciences

基　　金：贵州省科学技术基金(黔科合J字[2011]2112号)

摘　　要：采用矩阵乘积态算法对不同单粒子各向异性系数(D=-0.6,-0.3,0,0.3,0.6)和类伊辛参数(Jz=-0.5)的一维量子XXZD模型的基态进行模拟,基于基态波函数中纠缠的概念,计算冯诺依曼熵和平移算子之间的标度关系,从而确定中心荷和相比普适类。任意选取临界区域内的单粒子各向异性参数,研究了一维量子XXZD模型的单点几何纠缠的有限尺寸修正项系数与Luttinger液体紧致半径之间的关系。结果表明,单点几何纠缠的有限尺寸修正的方法是一种普适的研究量子临界性的方法,可以简捷的计算出Luttinger液体的紧致半径值。The ground state wavefunction is simulated by matrix product state algorithm of one-dimensional XXZD model with different single-particle anisotropy coefficients ( D =-0.6,-0.3,0,0.3,0.6) and Ising-like parameters ( J z =-0.5).Based on the concept of entanglement,the central charge and the relative universal class will be determined by the scaling relation between von Neumann entropy and translation operator.Arbitrary selection of single particle anisotropic parameters within the critical region.We researched The relationship between the finite-size correction coefficient of geometric entanglement per site and the compact radius of Luttinger liquid in one-dimensional quantum XXZD model.The researched results shows that the compact radius of Luttinger liquid can be calculated simply and the finite-size correction method of geometric entanglement per site is an universal method to study quantum criticality.

关 键 词：几何纠缠 量子临界性 量子相变 

分 类 号：O561[理学—原子与分子物理]