Boundary and impurity effects on the entanglement of Heisenberg chains

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 69, Issue 6 2, 2004, Pages

  Wang, Xiaoguang ^a,b  

^a MACQUARIE UNIVERSITY   (Australia)

^b ZHEJIANG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ANTIFERROMAGNETISM; BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; CORRELATION METHODS; ENTROPY; FERMIONS; FERROMAGNETIC MATERIALS; FUNCTIONS; GROUND STATE; HAMILTONIANS; MATHEMATICAL OPERATORS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; OSCILLATIONS; PHASE TRANSITIONS; THEOREM PROVING;

BULK IMPURITY; GROUND-STATE ENERGY; HEISENBERG CHAINS; IMPURITY EFFECTS;

QUANTUM THEORY;

EID: 42749100830     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.69.066118     Document Type: Article

References (47)

1. M. A. Nielsen, e-print quant-ph/0011036, Ph.D. thesis, University of Mexico, 1998.
2. K. M. O'Connor and W. K. Wootters, Phys. Rev. A 63, 052302 (2001).
3. M. C. Arnesen, S. Bose, and V. Vedral, Phys. Rev. Lett. 87, 017901 (2001).
4. X. Wang, Phys. Rev. A 64, 012313 (2001); 66, 034302 (2002); Phys. Lett. A 281, 101 (2001).
5. X. Wang, Phys. Rev. A 64, 012313 (2001); 66, 034302 (2002); Phys. Lett. A 281, 101 (2001).
6. X. Wang, Phys. Rev. A 64, 012313 (2001); 66, 034302 (2002); Phys. Lett. A 281, 101 (2001).
7. D. Gunlycke, V. M. Kendon, V. Vedral, and S. Bose, Phys. Rev. A 64, 042302 (2001).
8. X. Wang, H. Fu, and A. I. Solomon, J. Phys. A 34, 11 307 (2001).
9. G. L. Kamta and A. F. Starace, Phys. Rev. Lett. 88, 107901 (2002).
10. Y. Yeo, Phys. Rev. A 66, 062312 (2002).
11. X. Wang and P. Zanardi, Phys. Lett. A 301, 1 (2002); X. Wang, Phys. Rev. A 66, 044305 (2002).
12. X. Wang and P. Zanardi, Phys. Lett. A 301, 1 (2002); X. Wang, Phys. Rev. A 66, 044305 (2002).
13. Y. Sun, Y. Chen, and H. Chen, Phys. Rev. A 68, 044301 (2003).
14. L. Zhou, H. S. Song, Y. Q. Guo, and C. Li, Phys. Rev. A 68, 024301 (2003).
15. A. Saguia and M. S. Sarandy, Phys. Rev. A 67, 012315 (2003).
16. J. Schliemann, Phys. Rev. A 68, 012309 (2003).
17. D. A. Meyer and N. R. Wallach, J. Math. Phys. 43, 4273 (2002).
18. O. F. Syljuåsen, Phys. Rev. A 68, 060301(R) (2003).
19. L. F. Santos, Phys. Rev. A 67, 062306 (2003).
20. U. Glaser, H. Büttner, and H. Fehske, Phys. Rev. A 68, 032318 (2003).
21. T. Meyer, U. V. Poulsen, K. Eckert, M. Lewenstein, and D. Bruss, e-print quant-ph/0308082.
22. T. J. Osborne and M. A. Nielsen, Phys. Rev. A 66, 032110 (2002).
23. A. Osterloh, L. Amico, G. Falci, and R. Fazio, Nature (London) 416, 608 (2002); L. Amico, A. Osterloh, F. Plastina, R. Fazio, and G. M. Palma, Phys. Rev. A 69, 022304 (2004).
24. A. Osterloh, L. Amico, G. Falci, and R. Fazio, Nature (London) 416, 608 (2002); L. Amico, A. Osterloh, F. Plastina, R. Fazio, and G. M. Palma, Phys. Rev. A 69, 022304 (2004).
25. G. Vidai, J. I. Latorre, E. Rico, and A. Kitaev, Phys. Rev. Lett. 90, 227902 (2003); J. L. Latorre, E. Rico, and G. Vidai, Quantum Inf. Comput. 4, 48 (2004).
26. G. Vidai, J. I. Latorre, E. Rico, and A. Kitaev, Phys. Rev. Lett. 90, 227902 (2003); J. L. Latorre, E. Rico, and G. Vidai, Quantum Inf. Comput. 4, 48 (2004).
27. I. Bose and E. Chattopadhyay, Phys. Rev. A 66, 062320 (2002).
28. J. Vidai, G. Palacios, and R. Mosseri, Phys. Rev. A 69, 022107 (2004).
29. S. J. Gu, H. Q. Lin, and Y. Q. Li, Phys. Rev. A 68, 042330 (2003).
30. O. Osenda, Z. Huang, and S. Kais, Phys. Rev. A 67, 062321 (2003).
31. B. Q. Jin and V. E. Korepin, e-print quant-ph/0304108.
32. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, England, 2000).
33. S. Ghosh, T. F. Rosenbaum, G. Aeppli, and S. N. Coppersmith, Nature (London) 425, 48 (2003).
34. See, for instance, O. Waldmann, Phys. Rev, B 65, 024424 (2002).
35. F. Meier, J. Levy, and D. Loss, Phys. Rev. Lett. 90, 047901 (2003).
36. F. Meier, J. Levy, and D. Loss, Phys. Rev. B 68, 134417 (2003).
37. S. Bose, Phys. Rev. Lett. 91, 207901 (2003); V. Subrahmanyam, Phys. Rev. A 69, 034304 (2004).
38. S. Bose, Phys. Rev. Lett. 91, 207901 (2003); V. Subrahmanyam, Phys. Rev. A 69, 034304 (2004).
39. M. Christandl, N. Datta, A. Ekert, and A. J. Landahl, Phys. Rev. Lett. 92, 187902 (2004).
40. F. C. Alcaraz, A. Saguia, M. S. Sarandy, e-print quant-ph/0312039.
41. H. Fu, A. I. Solomon, and X. Wang, J. Phys. A 35, 4293 (2002); X. Q. Xi, S. R. Hao, W. X. Chen, and R. H. Yue, Phys. Lett. A 297, 291 (2002).
42. H. Fu, A. I. Solomon, and X. Wang, J. Phys. A 35, 4293 (2002); X. Q. Xi, S. R. Hao, W. X. Chen, and R. H. Yue, Phys. Lett. A 297, 291 (2002).
43. P. Jordan and E. Wigner, Z. Phys. 47, 631 (1928); E. Lieb, T. Schultz, and D. Mattis, Ann. Phys. (N.Y.) 16, 407 (1961).
44. P. Jordan and E. Wigner, Z. Phys. 47, 631 (1928); E. Lieb, T. Schultz, and D. Mattis, Ann. Phys. (N.Y.) 16, 407 (1961).
45. W. K. Wootters, Phys. Rev. Lett. 80, 2245 (1998).
46. G. C. Wick, Phys. Rev. 80, 268 (1950).
47. J. Stolze and M. Vogel, Phys. Rev. B 61, 4026 (2000).