Relation between two measures of entanglement in spin-1/2 and spinless fermion quantum chain systems

被引:1
作者
Qian, Xiao-Feng [1 ]
Song, Z. [1 ]
机构
[1] Nankai Univ, Dept Phys, Tianjin 300071, Peoples R China
来源
PHYSICAL REVIEW A | 2006年 / 74卷 / 02期
关键词
STATE;
D O I
10.1103/PhysRevA.74.022302
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The concepts of concurrence and mode concurrence are the measures of entanglement for spin-1/2 and spinless fermion systems, respectively. Based on the Jordan-Wigner transformation, any spin-1/2 system is always associated with a fermion system (called the counterpart system). A comparison of concurrence and mode concurrence can be made with the aid of Marshall's sign rule for the ground states of spin-1/2 XXZ and spinless fermion chain systems. We observe that there exists an inequality between concurrence and mode concurrence for the ground states of the two corresponding systems. The spin-1/2 XY chain system and its spinless fermion counterpart as a realistic example are discussed to demonstrate the analytical results.
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页数:6
相关论文
共 48 条
[41]   Entanglement of formation of an arbitrary state of two qubits [J].
Wootters, WK .
PHYSICAL REVIEW LETTERS, 1998, 80 (10) :2245-2248
[42]   Quantum tensor product structures are observable induced [J].
Zanardi, P ;
Lidar, DA ;
Lloyd, S .
PHYSICAL REVIEW LETTERS, 2004, 92 (06)
[43]   Virtual quantum subsystems [J].
Zanardi, P .
PHYSICAL REVIEW LETTERS, 2001, 87 (07) :77901-1
[44]   Fermionic entanglement in itinerant systems [J].
Zanardi, P ;
Wang, X .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (37) :7947-7959
[45]  
Zanardi P., 2002, Phys. Rev. A, V65, DOI [10.1103/PhysRevA.65.042101, DOI 10.1103/PHYSREVA.65.042101, DOI 10.1103/PHYSREVB.65.042101]
[46]  
ZANARDI P, 2003, PHYS REV A, V65, P3619
[47]  
ZANARDI P, QUANTPH0305013, P43619
[48]  
[No title captured]