Effects of the Next-Nearest-Neighbor Interaction on the Entanglement of the Heisenberg XX Chain

  • The pairwise entanglement of the Heisenberg XX chain with next-nearest-neighbor (NNN) interactions was investigated by using the concurrence measure. The results show that for the nearest-neighbor sites, the entanglement may be improved or suppressed depending on the magnitudes of the NNN coupling constant J, while for the next-nearest-neighbor sites, it always increases with the increase of |J|. The critical temperature Tc decreases with the increase of J for the nearest-neighbor entanglement and increases with the increase of |J| for the next-nearest-neighbor entanglement, respectively. We also show that the general Heisenberg XX model still can be used to create the entangled W states of three and four qubits, and that the presence of NNN coupling has no effect on the creation of four-qubit W states, while it shifts the instant of time at which the three-qubit W states are created.
  • 加载中
  • [1] . Bennett C H, Brassard G, Crépeau C et al. Phys. Rev.Lett., 1993, 70(13): 1895-18992. Ekert A K. Phys. Rev. Lett., 1991, 67(6): 661-6633. DiVincenzo D P, Eacon D, Kempe J et al. Nature, 2000,408(6810): 339-3424. Bennett C H, Wiesner S J. Phys. Rev. Lett., 1992, 69(20):2881-28845. WANG X G. Phys. Rev., 2001, A64(1): 0123136. CAO M, ZHU S Q. Phys. Rev., 2005, A71: 0343117. Kamta G L, Starace A F. Phys. Rev. Lett., 2002, 88(10):1079018. Arnesen M C, Bose S, Vedral V. Phys. Rev. Lett.,2001,87(1): 0179019. Asoudeh M, Karimipour V. Phys. Rev., 2005, A71: 02230810. ZHANG G F, LI S S. Phys. Rev., 2005, A72: 03430211. ZHOU L, SONG H S, GUO Y Q et al. Phys. Rev., 2003,A68: 02430112. HU M L, TIAN D P. J. At. Mol. Phys., Accepted13. GU S J, LI H B, LI Y Q et al. Phys. Rev., 2004, A70:05230214. Bose I. E-print, cond-mat/010739915. Hill S, Wootters W K. Phys. Rev. Lett., 1997, 78(26):5022-502516. Wootters W K. Phys. Rev. Lett., 1998, 80(10): 2245-2248
  • 加载中

Get Citation
HU Ming-Liang and TIAN Dong-Ping. Effects of the Next-Nearest-Neighbor Interaction on the Entanglement of the Heisenberg XX Chain[J]. Chinese Physics C, 2006, 30(11): 1132-1136.
HU Ming-Liang and TIAN Dong-Ping. Effects of the Next-Nearest-Neighbor Interaction on the Entanglement of the Heisenberg XX Chain[J]. Chinese Physics C, 2006, 30(11): 1132-1136. shu
Milestone
Received: 2006-03-07
Revised: 2006-05-22
Article Metric

Article Views(3194)
PDF Downloads(763)
Cited by(0)
Policy on re-use
To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Email This Article

Title:
Email:

Effects of the Next-Nearest-Neighbor Interaction on the Entanglement of the Heisenberg XX Chain

    Corresponding author: HU Ming-Liang,
  • School of Science, Xi'an Jiaotong University, Xi'an 710049, China2 Xi'an Institute of Post and Telecommunication, Xi'an 710061,China

Abstract: The pairwise entanglement of the Heisenberg XX chain with next-nearest-neighbor (NNN) interactions was investigated by using the concurrence measure. The results show that for the nearest-neighbor sites, the entanglement may be improved or suppressed depending on the magnitudes of the NNN coupling constant J, while for the next-nearest-neighbor sites, it always increases with the increase of |J|. The critical temperature Tc decreases with the increase of J for the nearest-neighbor entanglement and increases with the increase of |J| for the next-nearest-neighbor entanglement, respectively. We also show that the general Heisenberg XX model still can be used to create the entangled W states of three and four qubits, and that the presence of NNN coupling has no effect on the creation of four-qubit W states, while it shifts the instant of time at which the three-qubit W states are created.

    HTML

Reference (1)

目录

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return