中国物理B ›› 2007, Vol. 16 ›› Issue (8): 2229-2236.doi: 10.1088/1009-1963/16/8/013

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Entanglement in an anisotropic spin-1 Heisenberg chain

朱燕, 朱士群, 郝翔   

  1. School of Physical Science and Technology, Suzhou University, Suzhou 215006, China
  • 收稿日期:2006-12-15 修回日期:2007-01-16 出版日期:2007-08-20 发布日期:2007-08-20
  • 基金资助:
    Project supported by the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No 20050285002).

Entanglement in an anisotropic spin-1 Heisenberg chain

Zhu Yan(朱燕), Zhu Shi-Qun(朱士群)†, and Hao Xiang (郝翔)   

  1. School of Physical Science and Technology, Suzhou University, Suzhou 215006, China
  • Received:2006-12-15 Revised:2007-01-16 Online:2007-08-20 Published:2007-08-20
  • Supported by:
    Project supported by the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No 20050285002).

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摘要： The entanglement in an anisotropic spin-1 Heisenberg chain with a uniform magnetic field is investigated. The ground-state entanglement will undergo two different kinds of transitions when the anisotropy \Delta and the amplitude of the magnetic field B are varied. The thermal entanglement of the nearest neighbour always declines when B increases no matter what the value of the anisotropy is. It is very interesting to note that the entanglement of the next-nearest neighbour can increase to a maximum at a certain magnetic field. Regardless of the boundary condition, the nearest-neighbour entanglement always decreases and approaches to a constant value when the size of the system is very large. The constant value of open boundary condition is much larger than that of periodic boundary condition.

关键词: entanglement, Heisenberg chain, open boundary condition, periodic boundary condition

Abstract: The entanglement in an anisotropic spin-1 Heisenberg chain with a uniform magnetic field is investigated. The ground-state entanglement will undergo two different kinds of transitions when the anisotropy $\varDelta$ and the amplitude of the magnetic field B are varied. The thermal entanglement of the nearest neighbour always declines when B increases no matter what the value of the anisotropy is. It is very interesting to note that the entanglement of the next-nearest neighbour can increase to a maximum at a certain magnetic field. Regardless of the boundary condition, the nearest-neighbour entanglement always decreases and approaches to a constant value when the size of the system is very large. The constant value of open boundary condition is much larger than that of periodic boundary condition.

Key words: entanglement, Heisenberg chain, open boundary condition, periodic boundary condition

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

  • 75.10.Jm
03.65.Ud (Entanglement and quantum nonlocality) 75.10.Pq (Spin chain models) 75.30.Gw (Magnetic anisotropy)