TY - JOUR
T1 - Relation between two measures of entanglement in spin- 1/2 and spinless fermion quantum chain systems
AU - Qian, Xiao Feng
AU - Song, Z.
PY - 2006
Y1 - 2006
N2 - 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.
AB - 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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U2 - 10.1103/PhysRevA.74.022302
DO - 10.1103/PhysRevA.74.022302
M3 - Article
AN - SCOPUS:33746823839
SN - 1050-2947
VL - 74
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 2
M1 - 022302
ER -