Abstract Motivated by the wise idea of entanglement witness (EW), we present an inequivalent entanglement witness (IEEW) that can analogously classify certain eigenstates entangled in inequivalent ways under stochastic local operations and classical communication (SLOCC) in the Heisenberg spin chain. Since the IEEW is the absolute value of magnetization |M| that is a macroscopically measurable quantity, our conclusions provide a macroscopic method to detect inequivalent entanglement between microscopic spins, on the one hand, and clearly show that inequivalent entanglement can yield different macroscopic effects, on the other hand.
Received: 15 July 2008
Revised: 09 August 2008
Accepted manuscript online:
PACS:
75.10.Jm
(Quantized spin models, including quantum spin frustration)
(Entanglement measures, witnesses, and other characterizations)
Fund: Project supported by the National
Natural Science Foundation of China (Grant No 10404039), the
Foundation for the Author of National Excellent Doctoral
Dissertation of China (Grant No 200524), and Program for New Century
Excellent Talents (NCET) of China
Cite this article:
Zhang Ting(张婷), Chen Ping-Xing(陈平形), and Li Cheng-Zu(李承祖) Macroscopic inequivalent entanglement witness in Heisenberg spin chain 2009 Chin. Phys. B 18 1346
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