连续纠缠态表象的几种Schmidt分解、物理意义与应用  

The physical significances and applications of Schmidt decompositions of continuum bipartile entangled state representation

作　　者：范洪义[1] 李学超[2] 

机构地区：[1]中国科学技术大学材料科学与工程系,合肥230026 [2]中国科学技术大学近代物理系,合肥230026

出　　处：《物理学报》2012年第20期77-82,共6页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10874174)资助的课题~~

摘　　要：在两粒子连续纠缠态表象|η〉的基础上分别导出了此纠缠态在坐标、动量表象和粒子数表象中的Schmidt分解,阐述了其物理意义.并且,用|η〉的Schmidt分解直接给出单模压缩算符对纠缠态的作用结果、双模平移算符的纠缠态表象以及平移算符在Fock空间的矩阵元.文章的讨论可以推广到多粒子连续纠缠态情形.According to the continuum bipartite entangled state representation （η） we derive the Schmidt decomposition of （η）, respectively in the coordinate representation, momentum representation and the particle number representation, and explain their physical signifi- cances. As the applications of the Schmidt decomposition, we directly derive the action of the single-mode squeeze operator on （η）, the two-mode squeeze operator＇s entangled state representation, as well as the matrix element of displacement operator in the Fock space. Generalization of our discussion in this paper to the multipartite entangled state cases is feasible.

关 键 词：纠缠态 Schmidt分解 压缩算符 

分 类 号：O431.2[机械工程—光学工程]