中国物理B ›› 2009, Vol. 18 ›› Issue (4): 1346-1351.doi: 10.1088/1674-1056/18/4/010

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Macroscopic inequivalent entanglement witness in Heisenberg spin chain

张婷, 陈平形, 李承祖   

  1. Department of Physics, Science College, National University of Defence Technology, Changsha 410073, China
  • 收稿日期:2008-07-15 修回日期:2008-08-09 出版日期:2009-04-20 发布日期:2009-04-20
  • 基金资助:
    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

Macroscopic inequivalent entanglement witness in Heisenberg spin chain

Zhang Ting(张婷)†, Chen Ping-Xing(陈平形), and Li Cheng-Zu(李承祖)   

  1. Department of Physics, Science College, National University of Defence Technology, Changsha 410073, China
  • Received:2008-07-15 Revised:2008-08-09 Online:2009-04-20 Published:2009-04-20
  • Supported by:
    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

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摘要： 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.

关键词: Heisenberg spin chain, inequivalent entanglement witness

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.

Key words: Heisenberg spin chain, inequivalent entanglement witness

中图分类号:  (Quantized spin models, including quantum spin frustration)

  • 75.10.Jm
03.65.Ud (Entanglement and quantum nonlocality) 03.65.Fd (Algebraic methods) 03.67.Hk (Quantum communication) 03.67.Mn (Entanglement measures, witnesses, and other characterizations)