Renormalization of concurrence: The application of the quantum renormalization group to quantum-information systems

被引:88
|
作者
Kargarian, M. [1 ]
Jafari, R. [2 ,3 ]
Langari, A. [1 ,3 ]
机构
[1] Sharif Univ Technol, Dept Phys, Tehran 111559161, Iran
[2] Inst Adv Studies Basic Sci, Zanjan 451951159, Iran
[3] Inst Studies Theoret Phys & Math, Tehran 193955531, Iran
来源
PHYSICAL REVIEW A | 2007年 / 76卷 / 06期
关键词
D O I
10.1103/PhysRevA.76.060304
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We have combined the idea of renormalization group and quantum-information theory. We have shown how the entanglement or concurrence evolve as the size of the system becomes large, i.e., the finite size scaling is obtained. Moreover, we introduce how the renormalization-group approach can be implemented to obtain the quantum-information properties of a many-body system. We have obtained the concurrence as a measure of entanglement, its derivatives and their scaling behavior versus the size of system for the one-dimensional Ising model in transverse field. We have found that the derivative of concurrence between two blocks each containing half of the system size diverges at the critical point with the exponent, which is directly associated with the divergence of the correlation length.
引用
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页数:4
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