Spin- 1 2 Heisenberg ladder: Variation of entanglement and fidelity measures close to quantum critical points

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 79, Issue 1, 2009, Pages

  Tribedi, Amit ^a   Bose, Indrani ^a  

^a BOSE INSTITUTE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

ANTIFERROMAGNETISM; EQUATIONS OF STATE; EXCHANGE INTERACTIONS; HAMILTONIANS; INFORMATION THEORY; MAGNETIC FIELDS; MAGNETIC MATERIALS; PHASE TRANSITIONS; QUANTUM OPTICS; SPIN DYNAMICS;

ANALYTICAL RESULTS; ANTIFERROMAGNETIC; BIPARTITE ENTANGLEMENTS; CRITICAL POINTS; CRITICAL VALUES; DIAGONALIZATION; ENTANGLEMENT MEASURES; EXTERNAL MAGNETIC FIELDS; FIRST DERIVATIVES; HEISENBERG LADDERS; HEISENBERG SPINS; LADDER COMPOUNDS; NEAREST NEIGHBORS; QUANTUM CRITICAL POINTS; QUANTUM INFORMATIONS; QUANTUM PHASE TRANSITIONS; SECOND ORDERS; SPIN LADDERS; VON NEUMANN ENTROPIES;

LADDERS;

EID: 59949104882     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.79.012331     Document Type: Article

References (48)

1. E. Dagotto and T. M. Rice, Science 271, 618 (1996). 10.1126/science.271. 5249.618
2. E. Dagotto, Rep. Prog. Phys. 62, 1525 (1999). 10.1088/0034-4885/62/11/202
3. E. Dagotto, Rev. Mod. Phys. 66, 763 (1994). 10.1103/RevModPhys.66.763
4. E. Dagotto, J. Riera, and D. Scalapino, Phys. Rev. B 45, 5744 (1992). 10.1103/PhysRevB.45.5744
5. S. Gopalan, T. M. Rice, and M. Sigrist, Phys. Rev. B 49, 8901 (1994). 10.1103/PhysRevB.49.8901
6. I. Bose and S. Gayen, Phys. Rev. B 48, 10653 (1993). 10.1103/PhysRevB.48. 10653
7. M. T. Batchelor, X. W. Guan, N. Oelkers, and Z. Tsuboi, Adv. Phys. 56, 465 (2007). 10.1080/00018730701265383
8. G. Chaboussant, P. A. Crowell, L. P. Lévy, O. Piovesana, A. Madouri, and D. Mailly, Phys. Rev. B 55, 3046 (1997). 10.1103/PhysRevB.55.3046
9. B. C. Watson, Phys. Rev. Lett. 86, 5168 (2001). 10.1103/PhysRevLett.86. 5168
10. C. P. Landee, M. M. Turnbull, C. Galeriu, J. Giantsidis, and F. M. Woodward, Phys. Rev. B 63, 100402 (R) (2001). 10.1103/PhysRevB.63.100402
11. S. Sachdev, Science 288, 475 (2000). 10.1126/science.288.5465.475
12. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, 1999).
13. A. Osterloh, L. Amico, G. Falci, and R. Fazio, Nature (London) 416, 608 (2002). 10.1038/416608a
14. T. J. Osborne and M. A. Nielsen, Phys. Rev. A 66, 032110 (2002). 10.1103/PhysRevA.66.032110
15. G. Vidal, J. I. Latorre, E. Rico, and A. Kitaev, Phys. Rev. Lett. 90, 227902 (2003). 10.1103/PhysRevLett.90.227902
16. L.-A. Wu, M. S. Sarandy, and D. A. Lidar, Phys. Rev. Lett. 93, 250404 (2004). 10.1103/PhysRevLett.93.250404
17. T. R. de Oliveira, G. Rigolin, M. C. de Oliveira, and E. Miranda, Phys. Rev. Lett. 97, 170401 (2006). 10.1103/PhysRevLett.97.170401
18. H.-D. Chen, J. Phys. A 40, 10215 (2007). 10.1088/1751-8113/40/33/017
19. A. Tribedi and I. Bose, Phys. Rev. A 75, 042304 (2007). 10.1103/PhysRevA.75.042304
20. H. T. Quan, Z. Song, X. F. Liu, P. Zanardi, and C. P. Sun, Phys. Rev. Lett. 96, 140604 (2006). 10.1103/PhysRevLett.96.140604
21. P. Zanardi and N. Paunković, Phys. Rev. E 74, 031123 (2006). 10.1103/PhysRevE.74.031123
22. M. Cozzini, R. Ionicioiu, and P. Zanardi, Phys. Rev. B 76, 104420 (2007). 10.1103/PhysRevB.76.104420
23. M. Cozzini, P. Giorda, and P. Zanardi, Phys. Rev. B 75, 014439 (2007). 10.1103/PhysRevB.75.014439
24. P. Buonsante and A. Vezzani, Phys. Rev. Lett. 98, 110601 (2007). 10.1103/PhysRevLett.98.110601
25. H.-Q. Zhou, e-print arXiv:0704.2945.
26. P. Zanardi, M. Cozzini, and P. Giorda, J. Stat. Mech.: Theory Exp. (2007) L02002. 10.1088/1742-5468/2007/02/L02002
27. P. Zanardi, H. T. Quan, X. Wang, and C. P. Sun, Phys. Rev. A 75, 032109 (2007). 10.1103/PhysRevA.75.032109
28. S. Chen, L. Wang, S. J. Gu, and Y. Wang, Phys. Rev. E 76, 061108 (2007). 10.1103/PhysRevE.76.061108
29. N. Paunković, P. D. Sacramento, P. Nogueira, V. R. Vieira, and V. K. Dugaev, Phys. Rev. A 77, 052302 (2008). 10.1103/PhysRevA.77.052302
30. H.-M. Kwok, C.-S. Ho, and S.-J. Gu, Phys. Rev. A 78, 062302 (2008). 10.1103/PhysRevA.78.062302
31. J. Ma, L. Xu, H. Xiong, and X. Wang, e-print arXiv:0805.4062.
32. J. Ma, L. Xu, and X. Wang, e-print arXiv:0808.1816.
33. H.-N. Xiong, J. Ma, Z. Sun, and X. Wang, e-print arXiv:0808.1817.
34. K. M. O'Connor and W. K. Wootters, Phys. Rev. A 63, 052302 (2001); 10.1103/PhysRevA.63.052302
35. W. K. Wootters, Phys. Rev. Lett. 80, 2245 (1998). 10.1103/PhysRevLett.80. 2245
36. M. C. Arnesen, S. Bose, and V. Vedral, Phys. Rev. Lett. 87, 017901 (2001); 10.1103/PhysRevLett.87.017901
37. D. Gunlycke, V. M. Kendon, V. Vedral, and S. Bose, Phys. Rev. A 64, 042302 (2001). 10.1103/PhysRevA.64.042302
38. H. Nishimori, in Computer-aided Statistical Physics, AIP Conf. Proc. No. 248 (AIP, New York, 1992), pp. 269-278.
39. G. Chaboussant, Eur. Phys. J. B 6, 167 (1998). 10.1007/s100510050539
40. T. Sakai and M. Takahashi, Phys. Rev. B 43, 13383 (1991). 10.1103/PhysRevB.43.13383
41. F. Mila, Eur. Phys. J. B 6, 201 (1998). 10.1007/s100510050542
42. C. N. Yang, and C. P. Yang, Phys. Rev. 150, 327 (1966). 10.1103/PhysRev.150.327
43. F. D. M. Haldane, Phys. Rev. Lett. 47, 1840 (1981). 10.1103/PhysRevLett. 47.1840
44. T. Giamarchi and A. M. Tsvelik, Phys. Rev. B 59, 11398 (1999). 10.1103/PhysRevB.59.11398
45. U. Glaser, H. Büttner, and H. Fehske, Phys. Rev. A 68, 032318 (2003). 10.1103/PhysRevA.68.032318
46. R. Chitra and T. Giamarchi, Phys. Rev. B 55, 5816 (1997). 10.1103/PhysRevB.55.5816
47. H. J. Schulz, Phys. Rev. B 22, 5274 (1980). 10.1103/PhysRevB.22.5274
48. I. Affleck, Phys. Rev. B 43, 3215 (1991). 10.1103/PhysRevB.43.3215