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

  • We study the global bipartite entanglement of the three-qubit Heisenberg XXX spin chain with impurity. Through calculating the negativities N1-23 and N12-3, we show that the critical temperature Tc above which the entanglement vanishes increases with the increase of the impurity parameter J1. For a given T, the corresponding critical impurity parameter J1c 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 N1-23 and N12-3. The maximum value of N12-3 decreases from 0.5 to 0.3727 as the temperature rises, but the one of N1-23 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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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

Abstract: We study the global bipartite entanglement of the three-qubit Heisenberg XXX spin chain with impurity. Through calculating the negativities N1-23 and N12-3, we show that the critical temperature Tc above which the entanglement vanishes increases with the increase of the impurity parameter J1. For a given T, the corresponding critical impurity parameter J1c 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 N1-23 and N12-3. The maximum value of N12-3 decreases from 0.5 to 0.3727 as the temperature rises, but the one of N1-23 keeps the constant value of about 0.4714.

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