Entanglement in a two-qubit Heisenberg XXZ chain with different Dzyaloshinskii-Moriyacouplings and an inhomogeneous magnetic field

  • Ground state entanglement and thermal entanglement of a two-qubit Heisenberg XXZ chain in the presence of the different Dzyaloshinski-Moriya interaction and inhomogeneous magnetic field are investigated. By the concept of concurrence, we find that the inhomogeneity of the magnetic field may make entanglement last for a long time and the critical temperature is dependent on Jz and b. The entanglement can be increased by increasing the temperature in some cases. We also find that the x-component parameter Dx has a higher critical temperature and more entanglement for a certain condition than the z-component parameter Dz.

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QIN Meng, LI Yan-Biao, BAI Zhong, LIN Shang-Jin and LIU Wei. Entanglement in a two-qubit Heisenberg XXZ chain with different Dzyaloshinskii-Moriyacouplings and an inhomogeneous magnetic field[J]. Chinese Physics C, 2010, 34(11): 1693-1695. doi: 10.1088/1674-1137/34/11/004
QIN Meng, LI Yan-Biao, BAI Zhong, LIN Shang-Jin and LIU Wei. Entanglement in a two-qubit Heisenberg XXZ chain with different Dzyaloshinskii-Moriyacouplings and an inhomogeneous magnetic field[J]. Chinese Physics C, 2010, 34(11): 1693-1695.  doi: 10.1088/1674-1137/34/11/004 shu
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Received: 2010-01-25
Revised: 2010-03-28
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Entanglement in a two-qubit Heisenberg XXZ chain with different Dzyaloshinskii-Moriyacouplings and an inhomogeneous magnetic field

    Corresponding author: QIN Meng,

Abstract: 

Ground state entanglement and thermal entanglement of a two-qubit Heisenberg XXZ chain in the presence of the different Dzyaloshinski-Moriya interaction and inhomogeneous magnetic field are investigated. By the concept of concurrence, we find that the inhomogeneity of the magnetic field may make entanglement last for a long time and the critical temperature is dependent on Jz and b. The entanglement can be increased by increasing the temperature in some cases. We also find that the x-component parameter Dx has a higher critical temperature and more entanglement for a certain condition than the z-component parameter Dz.

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