Abstract

The effects of multi-impurity on the entanglement of anisotropic Heisenberg ring XXZ under a homogeneous magnetic field are studied. The impurities make the equal pairwise entanglement in a ring compete with each other so that the pairwise entanglement exhibits oscillation. If the impurities are of larger couplings, both the critical temperature and pairwise entanglement can be improved.

© 2007 Chinese Optics Letters

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  2. M. A. Nielsen, Phys. Rev. A 63, 022114 (2001).
  3. G. L. Kamta and A. F. Starace, Phys. Rev. Lett. 88, 107901 (2002).
  4. K. M. O'Connor and W. K. Wootters, Phys. Rev. A 63, 052302 (2001).
  5. L.-L. Deng and S.-L. Yan, Chin. Phys. 11, 383 (2002).
  6. Y. Yeo, Phys. Rev. A 66, 062312 (2002).
  7. J.-R. Sun, Y.-N. Wei, and F.-C. Pu, Chin. Phys. 4, 542 (1995).
  8. G. Zhang, S. Li, and J. Liang, Opt. Commun. 245, 457 (2005).
  9. L. Zhou, H. S. Song, Y. Q. Guo, and C. Li, Phys. Rev. A 68, 024301 (2003).
  10. X. Wang, Phys. Rev. A 64, 012313 (2001).
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  12. M. C. Arnesen, S. Bose, and V. Vedral, Phys. Rev. Lett. 87, 017901 (2001).
  13. N. Canosa and R. Rossignoli, Phys. Rev. A 69, 052306 (2004).
  14. D. V. Khveshchenko, Phys. Rev. B 68, 193307 (2003).
  15. Y.-M. Zhang and B. W. Xu, Chin. Phys. 4, 842 (1995).
  16. T. Zhang, X. Hui, and R. Yue, Acta Phys. Sin. 53, 2755 (2004).
  17. Y.-M. Shang and K.-L. Yao, Chin. Phys. 7, 864 (1998).
  18. Y. Sun, Y. Chen, and H. Chen, Phys. Rev. A 68, 044301 (2003).
  19. Y. Shao, T. Lan, and G. Lin, Acta Phys. Sin. 50, 948 (2001).
  20. Z. Dong and S. Feng, Chin. Phys. 7, 348 (1998).
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  22. H. Fu, A. I. Solomon, and X. Wang, J. Phys. A 35, 4293 (2002).
  23. X. Xi, S. Hao, W. Chen, and R. Yue, Phys. Lett. A 297, 291 (2002).
  24. X. Wang, Phys. Rev. E 69, 066118 (2004).
  25. C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, Phys. Rev. A 54, 3824 (1996).
  26. W. K. Wootters, Phys. Rev. Lett. 80, 2254 (1998).
  27. S. Hill and W. K. Wootters, Phys. Rev. Lett. 78, 5022 (1997).
  28. C. Anteneodo and A. M. C. Souza, J. Opt. B 5, 73 (2003).
  29. J. M. G. Sancho and S. F. Huelga, Phys. Rev. A 61, 042303 (2000).
  30. L. Davidovich, "Entanglement as an Observable" 2006 reported in Texas A-M University (2006).

2006 (1)

X. Hui, W. Chen, Q. Liu, and R. Yue, Acta Phys. Sin. 55, 3026 (2006).

2005 (1)

G. Zhang, S. Li, and J. Liang, Opt. Commun. 245, 457 (2005).

2004 (3)

N. Canosa and R. Rossignoli, Phys. Rev. A 69, 052306 (2004).

T. Zhang, X. Hui, and R. Yue, Acta Phys. Sin. 53, 2755 (2004).

X. Wang, Phys. Rev. E 69, 066118 (2004).

2003 (4)

C. Anteneodo and A. M. C. Souza, J. Opt. B 5, 73 (2003).

Y. Sun, Y. Chen, and H. Chen, Phys. Rev. A 68, 044301 (2003).

D. V. Khveshchenko, Phys. Rev. B 68, 193307 (2003).

L. Zhou, H. S. Song, Y. Q. Guo, and C. Li, Phys. Rev. A 68, 024301 (2003).

2002 (5)

G. L. Kamta and A. F. Starace, Phys. Rev. Lett. 88, 107901 (2002).

L.-L. Deng and S.-L. Yan, Chin. Phys. 11, 383 (2002).

Y. Yeo, Phys. Rev. A 66, 062312 (2002).

H. Fu, A. I. Solomon, and X. Wang, J. Phys. A 35, 4293 (2002).

X. Xi, S. Hao, W. Chen, and R. Yue, Phys. Lett. A 297, 291 (2002).

2001 (6)

Y. Shao, T. Lan, and G. Lin, Acta Phys. Sin. 50, 948 (2001).

K. M. O'Connor and W. K. Wootters, Phys. Rev. A 63, 052302 (2001).

M. A. Nielsen, Phys. Rev. A 63, 022114 (2001).

X. Wang, Phys. Rev. A 64, 012313 (2001).

D. Gunlycke, Y. M. Kendon, and V. Vedral, Phys. Rev. A 64, 042302 (2001).

M. C. Arnesen, S. Bose, and V. Vedral, Phys. Rev. Lett. 87, 017901 (2001).

2000 (2)

C. H. Bennett and D. P. DiVincenze, Nature 404, 247 (2000).

J. M. G. Sancho and S. F. Huelga, Phys. Rev. A 61, 042303 (2000).

1998 (3)

W. K. Wootters, Phys. Rev. Lett. 80, 2254 (1998).

Z. Dong and S. Feng, Chin. Phys. 7, 348 (1998).

Y.-M. Shang and K.-L. Yao, Chin. Phys. 7, 864 (1998).

1997 (1)

S. Hill and W. K. Wootters, Phys. Rev. Lett. 78, 5022 (1997).

1996 (1)

C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, Phys. Rev. A 54, 3824 (1996).

1995 (2)

J.-R. Sun, Y.-N. Wei, and F.-C. Pu, Chin. Phys. 4, 542 (1995).

Y.-M. Zhang and B. W. Xu, Chin. Phys. 4, 842 (1995).

Anteneodo, C.

C. Anteneodo and A. M. C. Souza, J. Opt. B 5, 73 (2003).

Arnesen, M. C.

M. C. Arnesen, S. Bose, and V. Vedral, Phys. Rev. Lett. 87, 017901 (2001).

Bennett, C. H.

C. H. Bennett and D. P. DiVincenze, Nature 404, 247 (2000).

C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, Phys. Rev. A 54, 3824 (1996).

Bose, S.

M. C. Arnesen, S. Bose, and V. Vedral, Phys. Rev. Lett. 87, 017901 (2001).

Canosa, N.

N. Canosa and R. Rossignoli, Phys. Rev. A 69, 052306 (2004).

Chen, H.

Y. Sun, Y. Chen, and H. Chen, Phys. Rev. A 68, 044301 (2003).

Chen, W.

X. Hui, W. Chen, Q. Liu, and R. Yue, Acta Phys. Sin. 55, 3026 (2006).

X. Xi, S. Hao, W. Chen, and R. Yue, Phys. Lett. A 297, 291 (2002).

Chen, Y.

Y. Sun, Y. Chen, and H. Chen, Phys. Rev. A 68, 044301 (2003).

Deng, L.-L.

L.-L. Deng and S.-L. Yan, Chin. Phys. 11, 383 (2002).

DiVincenze, D. P.

C. H. Bennett and D. P. DiVincenze, Nature 404, 247 (2000).

DiVincenzo, D. P.

C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, Phys. Rev. A 54, 3824 (1996).

Dong, Z.

Z. Dong and S. Feng, Chin. Phys. 7, 348 (1998).

Feng, S.

Z. Dong and S. Feng, Chin. Phys. 7, 348 (1998).

Fu, H.

H. Fu, A. I. Solomon, and X. Wang, J. Phys. A 35, 4293 (2002).

Gunlycke, D.

D. Gunlycke, Y. M. Kendon, and V. Vedral, Phys. Rev. A 64, 042302 (2001).

Guo, Y. Q.

L. Zhou, H. S. Song, Y. Q. Guo, and C. Li, Phys. Rev. A 68, 024301 (2003).

Hao, S.

X. Xi, S. Hao, W. Chen, and R. Yue, Phys. Lett. A 297, 291 (2002).

Hill, S.

S. Hill and W. K. Wootters, Phys. Rev. Lett. 78, 5022 (1997).

Huelga, S. F.

J. M. G. Sancho and S. F. Huelga, Phys. Rev. A 61, 042303 (2000).

Hui, X.

X. Hui, W. Chen, Q. Liu, and R. Yue, Acta Phys. Sin. 55, 3026 (2006).

T. Zhang, X. Hui, and R. Yue, Acta Phys. Sin. 53, 2755 (2004).

Kamta, G. L.

G. L. Kamta and A. F. Starace, Phys. Rev. Lett. 88, 107901 (2002).

Kendon, Y. M.

D. Gunlycke, Y. M. Kendon, and V. Vedral, Phys. Rev. A 64, 042302 (2001).

Khveshchenko, D. V.

D. V. Khveshchenko, Phys. Rev. B 68, 193307 (2003).

Lan, T.

Y. Shao, T. Lan, and G. Lin, Acta Phys. Sin. 50, 948 (2001).

Li, C.

L. Zhou, H. S. Song, Y. Q. Guo, and C. Li, Phys. Rev. A 68, 024301 (2003).

Li, S.

G. Zhang, S. Li, and J. Liang, Opt. Commun. 245, 457 (2005).

Liang, J.

G. Zhang, S. Li, and J. Liang, Opt. Commun. 245, 457 (2005).

Lin, G.

Y. Shao, T. Lan, and G. Lin, Acta Phys. Sin. 50, 948 (2001).

Liu, Q.

X. Hui, W. Chen, Q. Liu, and R. Yue, Acta Phys. Sin. 55, 3026 (2006).

Nielsen, M. A.

M. A. Nielsen, Phys. Rev. A 63, 022114 (2001).

O'Connor, K. M.

K. M. O'Connor and W. K. Wootters, Phys. Rev. A 63, 052302 (2001).

Pu, F.-C.

J.-R. Sun, Y.-N. Wei, and F.-C. Pu, Chin. Phys. 4, 542 (1995).

Rossignoli, R.

N. Canosa and R. Rossignoli, Phys. Rev. A 69, 052306 (2004).

Sancho, J. M. G.

J. M. G. Sancho and S. F. Huelga, Phys. Rev. A 61, 042303 (2000).

Shang, Y.-M.

Y.-M. Shang and K.-L. Yao, Chin. Phys. 7, 864 (1998).

Shao, Y.

Y. Shao, T. Lan, and G. Lin, Acta Phys. Sin. 50, 948 (2001).

Smolin, J. A.

C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, Phys. Rev. A 54, 3824 (1996).

Solomon, A. I.

H. Fu, A. I. Solomon, and X. Wang, J. Phys. A 35, 4293 (2002).

Song, H. S.

L. Zhou, H. S. Song, Y. Q. Guo, and C. Li, Phys. Rev. A 68, 024301 (2003).

Souza, A. M. C.

C. Anteneodo and A. M. C. Souza, J. Opt. B 5, 73 (2003).

Starace, A. F.

G. L. Kamta and A. F. Starace, Phys. Rev. Lett. 88, 107901 (2002).

Sun, J.-R.

J.-R. Sun, Y.-N. Wei, and F.-C. Pu, Chin. Phys. 4, 542 (1995).

Sun, Y.

Y. Sun, Y. Chen, and H. Chen, Phys. Rev. A 68, 044301 (2003).

Vedral, V.

D. Gunlycke, Y. M. Kendon, and V. Vedral, Phys. Rev. A 64, 042302 (2001).

M. C. Arnesen, S. Bose, and V. Vedral, Phys. Rev. Lett. 87, 017901 (2001).

Wang, X.

X. Wang, Phys. Rev. E 69, 066118 (2004).

H. Fu, A. I. Solomon, and X. Wang, J. Phys. A 35, 4293 (2002).

X. Wang, Phys. Rev. A 64, 012313 (2001).

Wei, Y.-N.

J.-R. Sun, Y.-N. Wei, and F.-C. Pu, Chin. Phys. 4, 542 (1995).

Wootters, W. K.

K. M. O'Connor and W. K. Wootters, Phys. Rev. A 63, 052302 (2001).

W. K. Wootters, Phys. Rev. Lett. 80, 2254 (1998).

S. Hill and W. K. Wootters, Phys. Rev. Lett. 78, 5022 (1997).

C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, Phys. Rev. A 54, 3824 (1996).

Xi, X.

X. Xi, S. Hao, W. Chen, and R. Yue, Phys. Lett. A 297, 291 (2002).

Xu, B. W.

Y.-M. Zhang and B. W. Xu, Chin. Phys. 4, 842 (1995).

Yan, S.-L.

L.-L. Deng and S.-L. Yan, Chin. Phys. 11, 383 (2002).

Yao, K.-L.

Y.-M. Shang and K.-L. Yao, Chin. Phys. 7, 864 (1998).

Yeo, Y.

Y. Yeo, Phys. Rev. A 66, 062312 (2002).

Yue, R.

X. Hui, W. Chen, Q. Liu, and R. Yue, Acta Phys. Sin. 55, 3026 (2006).

T. Zhang, X. Hui, and R. Yue, Acta Phys. Sin. 53, 2755 (2004).

X. Xi, S. Hao, W. Chen, and R. Yue, Phys. Lett. A 297, 291 (2002).

Zhang, G.

G. Zhang, S. Li, and J. Liang, Opt. Commun. 245, 457 (2005).

Zhang, T.

T. Zhang, X. Hui, and R. Yue, Acta Phys. Sin. 53, 2755 (2004).

Zhang, Y.-M.

Y.-M. Zhang and B. W. Xu, Chin. Phys. 4, 842 (1995).

Zhou, L.

L. Zhou, H. S. Song, Y. Q. Guo, and C. Li, Phys. Rev. A 68, 024301 (2003).

Acta Phys. Sin. (3)

T. Zhang, X. Hui, and R. Yue, Acta Phys. Sin. 53, 2755 (2004).

Y. Shao, T. Lan, and G. Lin, Acta Phys. Sin. 50, 948 (2001).

X. Hui, W. Chen, Q. Liu, and R. Yue, Acta Phys. Sin. 55, 3026 (2006).

Chin. Phys. (5)

Z. Dong and S. Feng, Chin. Phys. 7, 348 (1998).

Y.-M. Shang and K.-L. Yao, Chin. Phys. 7, 864 (1998).

Y.-M. Zhang and B. W. Xu, Chin. Phys. 4, 842 (1995).

L.-L. Deng and S.-L. Yan, Chin. Phys. 11, 383 (2002).

J.-R. Sun, Y.-N. Wei, and F.-C. Pu, Chin. Phys. 4, 542 (1995).

J. Opt. B (1)

C. Anteneodo and A. M. C. Souza, J. Opt. B 5, 73 (2003).

J. Phys. A (1)

H. Fu, A. I. Solomon, and X. Wang, J. Phys. A 35, 4293 (2002).

Nature (1)

C. H. Bennett and D. P. DiVincenze, Nature 404, 247 (2000).

Opt. Commun. (1)

G. Zhang, S. Li, and J. Liang, Opt. Commun. 245, 457 (2005).

Phys. Lett. A (1)

X. Xi, S. Hao, W. Chen, and R. Yue, Phys. Lett. A 297, 291 (2002).

Phys. Rev. A (10)

J. M. G. Sancho and S. F. Huelga, Phys. Rev. A 61, 042303 (2000).

C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, Phys. Rev. A 54, 3824 (1996).

L. Zhou, H. S. Song, Y. Q. Guo, and C. Li, Phys. Rev. A 68, 024301 (2003).

X. Wang, Phys. Rev. A 64, 012313 (2001).

D. Gunlycke, Y. M. Kendon, and V. Vedral, Phys. Rev. A 64, 042302 (2001).

M. A. Nielsen, Phys. Rev. A 63, 022114 (2001).

Y. Yeo, Phys. Rev. A 66, 062312 (2002).

K. M. O'Connor and W. K. Wootters, Phys. Rev. A 63, 052302 (2001).

N. Canosa and R. Rossignoli, Phys. Rev. A 69, 052306 (2004).

Y. Sun, Y. Chen, and H. Chen, Phys. Rev. A 68, 044301 (2003).

Phys. Rev. B (1)

D. V. Khveshchenko, Phys. Rev. B 68, 193307 (2003).

Phys. Rev. E (1)

X. Wang, Phys. Rev. E 69, 066118 (2004).

Phys. Rev. Lett. (4)

W. K. Wootters, Phys. Rev. Lett. 80, 2254 (1998).

S. Hill and W. K. Wootters, Phys. Rev. Lett. 78, 5022 (1997).

G. L. Kamta and A. F. Starace, Phys. Rev. Lett. 88, 107901 (2002).

M. C. Arnesen, S. Bose, and V. Vedral, Phys. Rev. Lett. 87, 017901 (2001).

Other (1)

L. Davidovich, "Entanglement as an Observable" 2006 reported in Texas A-M University (2006).

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