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Chinese Physics C> 2006, Vol. 30> Issue(11) : 1132-1136 

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

  •  School of Science, Xi'an Jiaotong University, Xi'an 710049, China2 Xi'an Institute of Post and Telecommunication, Xi'an 710061,China

  • 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.
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    [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

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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
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Received: 2006-03-07
Revised: 2006-05-22
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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
  • Received Date: 2006-03-07
  • Accepted Date: 2006-05-22
  • Available Online: 2006-11-05

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.

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