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2024年10月30日
Chinese Physics C> 2010, Vol. 34> Issue(11) : 1693-1695 DOI: 10.1088/1674-1137/34/11/004

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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    [1] Einstein A,Podolsky B,Rosen N.Phys.Rev.,1935,47:777-780[2] Schrdinger E.Naturwissenschaften,1935,23:807-808[3] Arnesen M C,Bose S,Vedral V.Phys.Rev.Lett.,2001,87:017901[4] Nishiyama M,Inada Y,ZHENG Guo-Qing.Phys.Rev.Lett.2007,98:047002[5] Trauzettel B,Denis V,Bulaev et al.Nature Phys.,2007,3:192[6] Hanson R,Kouwenhoven L P,Petta J R et al.Rev.Mod.Phys.,2007,79:1217[7] Porras D,Cirac J I.Phys.Rev.Lett.,2004,92:207901[8] QIN Meng,TIAN Dong-Ping.Chinese Physics C,2009,33(04):249-251[9] WANG Xiao-Guang.Phys.Rev.A,2002,66:034302[10] Asoudeh M,Karimipour V.Phys.Rev.A,2005,71:02230[11] QIN Meng,TIAN Dong-Ping.Chinese Physics B,2009,19(04):1338-1341[12] MA Xiao-San,ZHANG Jia-Yan,CONG Hong-Shou et al.Science in China Series G-Physics Mechanics Astron,2008,51(12):1897-1904[13] WANG Fei,JIA Hong-Hui,ZHANG Hai-Liang et al.Science in China Series G-Physics Mechanics Astron,2009,52(12):1919-1924[14] ZHANG Jing-Fu,LONG Gui-Lu,ZHANG Wei et al.Phys.Rev.A,2005,72:012331[15] LIU Wen-Zhang,ZHANG Jing-Fu,LONG Gui-Lu.Chinese Science Bulletin,2009,54(22):4262-4265[16] WEI Da-Xiu,YANG Xiao-Dong,LUO Jun et al.Chinese Science Bulletin,2004,49(5):423-426[17] XI Xiao-Qiang,ZHANG Tao,YUE Rui-Hong.Science in China Series G-Physics Mechanics Astron,2008,51(10):1515-1522[18] HU Ming-Liang,TIAN Dong-Ping.Science in China Series G-Physics Mechanics Astron,2007,50(2):208-214[19] QIN Meng,TAO Ying-Juan,HU Ming-Liang et al.Science in China Series G-Physics Mechanics Astron.2008,51(7):817-822[20] LI Da-Chuang,CAO Zuo-Liang.Chin.Phys.Lett.,2009,26:2020309[21] Nielsen M A,1998,arXiv:quant-ph/0011036[22] Hill S,Wootters W K.Phys.Rev.Lett.,1997,78:5022[23] Wotters W K.Phys.Key.Lett.,1998,80:2245

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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,
  • Received Date: 2010-01-25
  • Accepted Date: 2010-03-28
  • Available Online: 2010-11-05

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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