Relation between two measures of entanglement in spin-1/2 and spinless fermion quantum chain systems
Abstract
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 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.
Keywords
Cite
@article{arxiv.quant-ph/0604108,
title = {Relation between two measures of entanglement in spin-1/2 and spinless fermion quantum chain systems},
author = {Xiao-Feng Qian and Z. Song},
journal= {arXiv preprint arXiv:quant-ph/0604108},
year = {2009}
}
Comments
7 pages, no figures, publication version, to appear in PRA