Physics – Quantum Physics
Scientific paper
2006-04-14
Phys. Rev. A 74, 022302 (2006)
Physics
Quantum Physics
7 pages, no figures, publication version, to appear in PRA
Scientific paper
10.1103/PhysRevA.74.022302
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 counterpart system). The comparison of concurrence and mode concurrence can be made with the aid of the 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 is discussed to demonstrate the analytical results.
Qian Xiao-Feng
Song Zhankai
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