一维具有次近邻相互作用海森堡链中的量子关联  

Quqntum Correlation in the Helsenberg Spin Chain with Next-nearest-neighbour Interaction

作　　者：黄军林[1] 章青袍[1] 黄瑶瑶[1] 范楚辉[1] 孙哲[1] 

机构地区：[1]杭州师范大学理学院,浙江杭州310036

出　　处：《杭州师范大学学报（自然科学版）》2013年第4期365-372,共8页Journal of Hangzhou Normal University(Natural Science Edition)

基　　金：2010年国家自然基金青年科学基金项目(11005027);杭州师范大学优秀中青年教师支持计划(HNUEYT 2011-01-011)

摘　　要：运用Quantum discord(QD)的概念,研究了一维带有次近邻相互作用的自旋1/2海森堡链中的量子关联特性.根据该系统的SU(2)以及Z2对称性,其约化密度矩阵具有简单的"X"型,从而解析得到QD的几何度量(GMQD)的表达式,并发现GMQD与两格点关联函数的关系,进而获得GMQD与能量本征值的关系.对于4格点和6格点情况,研究得到GMQD对于系统参数的依赖关系.通过数值和解析结果,发现GMQD在有限系统体系内是探测一级相变和无穷级相变的十分有效的工具.This article studied the quantum correlation in the spin-1/2 antiferromagnetic Heisenberg spin chain with next-nearest-neighbor interaction by the concept of the quantum discord（QD）. Due to the SU（2）symmetry and Z2 symmetry, this article analytically calculated the GMQD in this X-type state, found the relations between GMQD and the two sublattiee correlation functions, and obtained the relationship between GMQD and energy eigenvalue. Based on the 4-sublattice and 6- sublattice cases, the results show that GMQD is determined by system parameters, and GMQD is an effective tool in detecting both the first-order and the infinite-order quantum-phase-transition points in the finite systems.

关 键 词：量子失协 几何度量 量子相变 海森堡自旋链 

分 类 号：O413.1[理学—理论物理]