Phys. Rev. A 74, 022302 (2006) [6 pages]
Relation between two measures of entanglement in spin-1/2 and spinless fermion quantum chain systems
Abstract
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Received 14 April 2006; published 2 August 2006
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.
©2006 The American Physical Society
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