Global Bipartite Entanglement in the Three-Qubit Heisenberg XXX Spin Chain with Impurity

TAO Ying-Juan; HU Ming-Liang; TIAN Dong-Ping; QIN Meng

Chinese Physics C> 2007, Vol. 31> Issue(10) : 990-994

Global Bipartite Entanglement in the Three-Qubit Heisenberg XXX Spin Chain with Impurity

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

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Abstract：
We study the global bipartite entanglement of the three-qubit Heisenberg XXX spin chain with impurity. Through calculating the negativities N_1-23 and N_12-3, we show that the critical temperature T_c above which the entanglement vanishes increases with the increase of the impurity parameter J₁. For a given T, the corresponding critical impurity parameter J_1c below which the entanglement vanishes increases with the increase of the magnetic field B, and by adjusting J₁ and B one can control the values of N_1-23 and N_12-3. The maximum value of N_12-3 decreases from 0.5 to 0.3727 as the temperature rises, but the one of N_1-23 keeps the constant value of about 0.4714.

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TAO Ying-Juan, HU Ming-Liang, TIAN Dong-Ping and QIN Meng. Global Bipartite Entanglement in the Three-Qubit Heisenberg XXX Spin Chain with Impurity[J]. Chinese Physics C, 2007, 31(10): 990-994.

TAO Ying-Juan, HU Ming-Liang, TIAN Dong-Ping and QIN Meng. Global Bipartite Entanglement in the Three-Qubit Heisenberg XXX Spin Chain with Impurity[J]. Chinese Physics C, 2007, 31(10): 990-994. shu

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Received: 2006-11-14
Revised: 2007-01-26

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Global Bipartite Entanglement in the Three-Qubit Heisenberg XXX Spin Chain with Impurity

Corresponding author: TAO Ying-Juan,

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

Received Date: 2006-11-14

Accepted Date: 2007-01-26

Available Online: 2007-10-05

Abstract: We study the global bipartite entanglement of the three-qubit Heisenberg XXX spin chain with impurity. Through calculating the negativities N_1-23 and N_12-3, we show that the critical temperature T_c above which the entanglement vanishes increases with the increase of the impurity parameter J₁. For a given T, the corresponding critical impurity parameter J_1c below which the entanglement vanishes increases with the increase of the magnetic field B, and by adjusting J₁ and B one can control the values of N_1-23 and N_12-3. The maximum value of N_12-3 decreases from 0.5 to 0.3727 as the temperature rises, but the one of N_1-23 keeps the constant value of about 0.4714.

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Global Bipartite Entanglement in the Three-Qubit Heisenberg XXX Spin Chain with Impurity

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