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Bipartite entanglement in spin-1/2 Heisenberg model

Bipartite entanglement in spin-1/2 Heisenberg model
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摘要 The bipartite entanglement of the two- and three-spin Heisenberg model was investigated by using the concept of negativity. It is found that for the ground-state entanglement of the two-spin model, the negativity always decreases as B increases if △ 〈γ- 1, and it may keep a steady value of 0.5 in the region of B 〈 J[(△+ 1)2 -γ^2]^1/2 if △ 〉γ-1, while for that of the three-spin model, the negativity exhibits square wave structures if γ=0 or△=0. For thermal states, there are two areas showing entanglement, namely, the main region and the sub-region. The main region exists only when △ 〉 △c (△c =γ- 1 and (γ^2 - 1)/2 for the 2- and 3-spin model respectively) and extends in terms of B and T as A increases, while the sub-region survives only when γ≠0 and shrinks in terms of B and T as △ increases. The bipartite entanglement of the two- and three-spin Heisenberg model was investigated by using the concept of negativity. It is found that for the ground-state entanglement of the two-spin model, the negativity always decreases as B increases if △ 〈γ- 1, and it may keep a steady value of 0.5 in the region of B 〈 J[(△+ 1)2 -γ^2]^1/2 if △ 〉γ-1, while for that of the three-spin model, the negativity exhibits square wave structures if γ=0 or△=0. For thermal states, there are two areas showing entanglement, namely, the main region and the sub-region. The main region exists only when △ 〉 △c (△c =γ- 1 and (γ^2 - 1)/2 for the 2- and 3-spin model respectively) and extends in terms of B and T as A increases, while the sub-region survives only when γ≠0 and shrinks in terms of B and T as △ increases.
出处 《Chinese Physics C》 SCIE CAS CSCD 北大核心 2008年第4期303-307,共5页 中国物理C(英文版)
基金 National Natural Science Foundation of China(10547008)
关键词 Heisenberg model bipartite entanglement NEGATIVITY Heisenberg model, bipartite entanglement, negativity
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