Dynamics of Multipartite Entanglement in the Heisenberg Model

TIAN Dong-Ping; HU Ming-Liang

Chinese Physics C> 2007, Vol. 31> Issue(5) : 509-512

Dynamics of Multipartite Entanglement in the Heisenberg Model

TIAN Dong-Ping ,
HU Ming-Liang ^,

Xi'an Institute of Posts and Telecommunications, Xi'an 710061, China2 School of Science, Xi'an Jiaotong University, Xi'an 710049, China

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Abstract：
We investigate dynamics of the multipartite entanglement in the Heisenberg model and give analytical expressions of the average concurrence 〈C〉 and the multipartite entanglement measure Q. It is found that both 〈C〉 and Q initially increase with the increase of the scaled time t, and finally reach a plateau, oscillating irregularly around a steady value. And for the case of N〈C〉, this steady value is nearly independent of the length of the chain, and only determined by the NNN coupling constant J.

References

[1]

. Bennett C H, Brassard G, Crépeau C et al. Phys. Rev.Lett., 1993, 70(13): 1895-18992. Bennett C H, Wiesner S J. Phys. Rev. Lett., 1992, 69(20):2881-28843. Ekert A K. Phys. Rev. Lett., 1991, 67(6): 661-6634. DiVincenzo D P, Eacon D, Kempe J et al. Nature, 2000,408(6810): 339-3425. Bennett C H, DiVincenzo D P. Nature, 2000, 404(6775):247-2556. Bennett C H, Bernstein H J, Popescu S et al. Phys. Rev.,2000, A53(4): 2046-20527. Hill S, Wootters W K. Phys. Rev. Lett., 1997, 78(26):5022-50258. Wootters W K. Phys. Rev. Lett., 1998, 80(10): 2245-22489. Co man V, Kundu J, Wootters W K. Phys. Rev., 2000,A61(5): 05230610. Rungta P, Buzek V, Caves C M et al. Phys. Rev., 2001,A64(4): 04231511. Wong A, Christensen N. Phys. Rev., 2001, A63(4): 04430112. Meyer D A, Wallach N R. J. Math. Phys., 2002, 43(9):4273-427813. HU M L, TIAN D P. HEP NP, 2006, 30(11): 1132-1136(in Chinese)(胡明亮,田东平.高能物理与核物理,2006, 30(11): 1132-1136)14. Lakshminarayan A, Subrahmanyam V. Phys. Rev., 2003,A67: 052304

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TIAN Dong-Ping and HU Ming-Liang. Dynamics of Multipartite Entanglement in the Heisenberg Model[J]. Chinese Physics C, 2007, 31(5): 509-512.

TIAN Dong-Ping and HU Ming-Liang. Dynamics of Multipartite Entanglement in the Heisenberg Model[J]. Chinese Physics C, 2007, 31(5): 509-512. shu

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Received: 2006-08-30
Revised: 2006-11-15

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沈阳化工大学材料科学与工程学院沈阳 110142

Dynamics of Multipartite Entanglement in the Heisenberg Model

Corresponding author: HU Ming-Liang,

Xi'an Institute of Posts and Telecommunications, Xi'an 710061, China2 School of Science, Xi'an Jiaotong University, Xi'an 710049, China

Received Date: 2006-08-30

Accepted Date: 2006-11-15

Available Online: 2007-05-05

Abstract: We investigate dynamics of the multipartite entanglement in the Heisenberg model and give analytical expressions of the average concurrence 〈C〉 and the multipartite entanglement measure Q. It is found that both 〈C〉 and Q initially increase with the increase of the scaled time t, and finally reach a plateau, oscillating irregularly around a steady value. And for the case of N〈C〉, this steady value is nearly independent of the length of the chain, and only determined by the NNN coupling constant J.

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Dynamics of Multipartite Entanglement in the Heisenberg Model

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