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.
引用
收藏
页数：6
相关论文
共 48 条
  • [21] Entanglement in a two-identical-particle system
    Li, YS
    Zeng, B
    Liu, XS
    Long, GL
    [J]. PHYSICAL REVIEW A, 2001, 64 (05): : 4
  • [22] 2 SOLUBLE MODELS OF AN ANTIFERROMAGNETIC CHAIN
    LIEB, E
    SCHULTZ, T
    MATTIS, D
    [J]. ANNALS OF PHYSICS, 1961, 16 (03) : 407 - 466
  • [23] MARSHALL W, 1955, PROC R SOC LON SER-A, V232, P48, DOI 10.1098/rspa.1955.0200
  • [24] Dynamics of Bose-Einstein condensates in optical lattices
    Morsch, O
    Oberthaler, M
    [J]. REVIEWS OF MODERN PHYSICS, 2006, 78 (01) : 179 - 215
  • [25] Nagaosa N., 1999, Quantum field theory in strongly correlated electronic systems, DOI [10.1007/978-3-662-03795-9, DOI 10.1007/978-3-662-03795-9]
  • [26] Nielsen M., 2001, QUANTUM INFORM QUANT
  • [27] Entangled rings
    O'Connor, KM
    Wootters, WK
    [J]. PHYSICAL REVIEW A, 2001, 63 (05): : 9
  • [28] Scaling of entanglement close to a quantum phase transition
    Osterloh, A
    Amico, L
    Falci, G
    Fazio, R
    [J]. NATURE, 2002, 416 (6881) : 608 - 610
  • [29] Quantum correlations in two-boson wave functions
    Paskauskas, R
    You, L
    [J]. PHYSICAL REVIEW A, 2001, 64 (04): : 4
  • [30] Characterizing entanglement by momentum jump in the frustrated Heisenberg ring at a quantum phase transition
    Qian, XF
    Shi, T
    Li, Y
    Song, Z
    Sun, CP
    [J]. PHYSICAL REVIEW A, 2005, 72 (01)
12345