Entanglement property in matrix product spin systems  

作　　者：祝敬敏 

机构地区：[1]College of Optoelectronic Technology, Chengdu University of Information Technology

出　　处：《Chinese Physics C》2012年第4期311-315,共5页中国物理C（英文版）

基　　金：Supported by Scientific Research Foundation of CUIT(KYTZ201024);National Natural Science Foundation of China(10775100,10974137,10805034);Fund of Theoretical Nuclear Center of HIRFL of China

摘　　要：We study the entanglement property in matrix product spin-ring systems systemically by von Neumann entropy. We find that： （i） the Hilbert space dimension of one spin determines the upper limit of the maximal value of the entanglement entropy of one spin, while for multiparticle entanglement entropy, the upper limit of the maximal value depends on the dimension of the representation matrices. Based on the theory, we can realize the maximum of the entanglement entropy of any spin block by choosing the appropriate control parameter values. （ii） When the entanglement entropy of one spin takes its maximal value, the entanglement entropy of an asymptotically large spin block, i.e. the renormalization group fixed point, is not likely to take its maximal value, and so only the entanglement entropy Sn of a spin block that varies with size n can fully characterize the spin-ring entanglement feature. Finally, we give the entanglement dynamics, i.e. the Hamiltonian of the matrix product system.We study the entanglement property in matrix product spin-ring systems systemically by von Neumann entropy. We find that： （i） the Hilbert space dimension of one spin determines the upper limit of the maximal value of the entanglement entropy of one spin, while for multiparticle entanglement entropy, the upper limit of the maximal value depends on the dimension of the representation matrices. Based on the theory, we can realize the maximum of the entanglement entropy of any spin block by choosing the appropriate control parameter values. （ii） When the entanglement entropy of one spin takes its maximal value, the entanglement entropy of an asymptotically large spin block, i.e. the renormalization group fixed point, is not likely to take its maximal value, and so only the entanglement entropy Sn of a spin block that varies with size n can fully characterize the spin-ring entanglement feature. Finally, we give the entanglement dynamics, i.e. the Hamiltonian of the matrix product system.

关 键 词：matrix product state （MPS） ENTANGLEMENT von Neumann entropy 

分 类 号：O431.2[机械工程—光学工程]