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We studied the entanglements of the Heisenberg XX chain with impurity in the presence of a uniform magnetic field along the z axes by means of negativity. Through analyzing NL-A and N1-A, we show that the critical temperatures for nonzero negativities depend on the impurity parameter J1 and the magnetic field B. It is also shown that as qubit L increases, the entanglements increase when L is odd but decrease when L is even. And the entanglements of the even-qubit chains are larger than those of the odd-qubit chains. The condition is similar with L=3 for NL-A when qubit L is odd, but the entanglements increase with the increase of even qubit L.
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Keywords:
- entanglement /
- impurity /
- multipartite /
- Heisenberg XX chain
[1] ［1］Bennett C H 1992 Phys. Rev. Lett. 69 2881
[2] ［2］Bennett C H, Brassard G, Crépeau C 1993 Phys. Rev. Lett. 70 1895
[3] ［3］Ekert A K 1991 Phys. Rev. Lett. 67 661
[4] ［4］Loss D, DiVincenzo D P 1998 Phys. Rev. A 57 120
[5] ［5］Qin M, Tao Y J, Hu M L, Tian D P 2008 Sci. Chin. Ser. G 51 817
[6] ［6］Wang X G 2002 Phys. Rev. A 66 034302
[7] ［7］Qin M, Tian D P, Tao Y J 2008 Acta Phys. Sin. 57 5395 (in Chinese) ［秦猛、田东平、陶应娟 2008 物理学报 57 5395］
[8] ［8］Zhou L, Song H S, Guo Y Q, Li C 2003 Phys. Rev. A 68 024301
[9] ［9］Wang X G, Fu H, Solomon A I 2001 J. Phys. A 34 11307
[10] ］Tian D P, Qin M, Tao Y J, Hu M L 2007 High Energ. Phys. Nucl. Phys. 31 1082
[11] ］Hui X Q, Chen W X, Liu Q, Yue R H 2006 Acta. Phys. Sin. 55 3026 (in Chinese) ［惠小强、陈文学、刘起、岳瑞宏 2006 物理学报 55 3026］
[12] ］Arnesen M C, Bose S, Vedral V 2001 Phys. Rev. Lett. 87 017901
[13] ］Qin M, Tian D P 2009 Chin. Phys. B 18 1338
[14] ］Gao F, Tang S Q, Xie L J, Zhan X G, Zhang D Y 2009 Chin. Phys. B 18 3203
[15] ］Hill S, Wootters W K, 1997 Phys. Rev. Lett. 78 5022
[16] ］Wotters W K 1998 Phys. Rev. Lett. 80 2245
[17] ］Vidal G, Werner R F 2002 Phys. Rev. A 65 032314
[18] ］Peres A 1996 Phys. Rev. Lett. 77 1413
[19] ］Canosa N, Rossignoli R 2006 Phys. Rev. A 73 022346
[20] ］Schliemann J 2005 Phys. Rev. A 72 012307
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[1] ［1］Bennett C H 1992 Phys. Rev. Lett. 69 2881
[2] ［2］Bennett C H, Brassard G, Crépeau C 1993 Phys. Rev. Lett. 70 1895
[3] ［3］Ekert A K 1991 Phys. Rev. Lett. 67 661
[4] ［4］Loss D, DiVincenzo D P 1998 Phys. Rev. A 57 120
[5] ［5］Qin M, Tao Y J, Hu M L, Tian D P 2008 Sci. Chin. Ser. G 51 817
[6] ［6］Wang X G 2002 Phys. Rev. A 66 034302
[7] ［7］Qin M, Tian D P, Tao Y J 2008 Acta Phys. Sin. 57 5395 (in Chinese) ［秦猛、田东平、陶应娟 2008 物理学报 57 5395］
[8] ［8］Zhou L, Song H S, Guo Y Q, Li C 2003 Phys. Rev. A 68 024301
[9] ［9］Wang X G, Fu H, Solomon A I 2001 J. Phys. A 34 11307
[10] ］Tian D P, Qin M, Tao Y J, Hu M L 2007 High Energ. Phys. Nucl. Phys. 31 1082
[11] ］Hui X Q, Chen W X, Liu Q, Yue R H 2006 Acta. Phys. Sin. 55 3026 (in Chinese) ［惠小强、陈文学、刘起、岳瑞宏 2006 物理学报 55 3026］
[12] ］Arnesen M C, Bose S, Vedral V 2001 Phys. Rev. Lett. 87 017901
[13] ］Qin M, Tian D P 2009 Chin. Phys. B 18 1338
[14] ］Gao F, Tang S Q, Xie L J, Zhan X G, Zhang D Y 2009 Chin. Phys. B 18 3203
[15] ］Hill S, Wootters W K, 1997 Phys. Rev. Lett. 78 5022
[16] ］Wotters W K 1998 Phys. Rev. Lett. 80 2245
[17] ］Vidal G, Werner R F 2002 Phys. Rev. A 65 032314
[18] ］Peres A 1996 Phys. Rev. Lett. 77 1413
[19] ］Canosa N, Rossignoli R 2006 Phys. Rev. A 73 022346
[20] ］Schliemann J 2005 Phys. Rev. A 72 012307
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