Two-site entropy and quantum phase transitions in low-dimensional models

Physical Review Letters

Volumn 96, Issue 11, 2006, Pages

  Legeza, O ^a   Solyom J ^a  

^a WIGNER RESEARCH CENTRE FOR PHYSICS   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

DENSITY-MATRIX RENORMALIZATION-GROUP ALGORITHM \; LOW-DIMENSIONAL LATTICE MODELS; QUANTUM PHASE TRANSITION; TWO-SITE ENTROPY; VON NEUMANN ENTROPY;

ALGORITHMS; ENTROPY; FERMIONS; PHASE TRANSITIONS;

QUANTUM THEORY;

EID: 33645086854     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.96.116401     Document Type: Article

References (40)

1. S.R. White, Phys. Rev. Lett. 69, 2863 (1992); PRLTAO 0031-9007 10.1103/PhysRevLett.69.2863
2. S.R. White Phys. Rev. B PRBMDO 0163-1829 48, 10345 (1993). 10.1103/PhysRevB.48.10345
3. L.-A. Wu, M.S. Sarandy, and D.A. Lidar, Phys. Rev. Lett. 93, 250404 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.250404
4. W.K. Wootters, Phys. Rev. Lett. 80, 2245 (1998). PRLTAO 0031-9007 10.1103/PhysRevLett.80.2245
5. T.J. Osborne and M.A. Nielsen, Phys. Rev. A 66, 032110 (2002). PLRAAN 1050-2947 10.1103/PhysRevA.66.032110
6. A. Osterloh, L. Amico, G. Falci, and R. Fazio, Nature (London) NATUAS 0028-0836 416, 608 (2002). 10.1038/416608a
7. O.F. Syljuåsen, Phys. Rev. A 68, 60301(R) (2003). PLRAAN 1050-2947 10.1103/PhysRevA.68.060301
8. S.-J. Gu, H.-Q. Lin, and Y.-Q. Li, Phys. Rev. A 68, 042330 (2003). PLRAAN 1050-2947 10.1103/PhysRevA.68.042330
9. J. Vidal, G. Palacios, and R. Mosseri, Phys. Rev. A 69, 022107 (2004); PLRAAN 1050-2947 10.1103/PhysRevA.69.022107
10. J. Vidal, R. Mosseri, and J. Dukelsky, Phys. Rev. A 69, 054101 (2004). PLRAAN 1050-2947 10.1103/PhysRevA.69.054101
11. T. Roscilde, P. Verrucchi, A. Fubini, S. Haas, and V. Tognetti, Phys. Rev. Lett. 93, 167203 (2004); PRLTAO 0031-9007 10.1103/PhysRevLett.93.167203
12. T. Roscilde P. Verrucchi A. Fubini S. Haas V. Tognetti Phys. Rev. Lett. 94, 147208 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.94.147208
13. M.-F. Yang, Phys. Rev. A 71, 030302(R) (2005). PLRAAN 1050-2947 10.1103/PhysRevA.71.030302
14. P. Zanardi, Phys. Rev. A 65, 042101 (2002). PLRAAN 1050-2947 10.1103/PhysRevA.65.042101
15. S.-J. Gu, S.-S. Deng, Y.-Q. Li, and H.-Q. Lin, Phys. Rev. Lett. 93, 086402 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.086402
16. For its phase diagram, see G. Fáth and J. Sólyom, Phys. Rev. B PRBMDO 0163-1829 44, 11836 (1991); 10.1103/PhysRevB.44.11836
17. G. Fáth J. Sólyom Phys. Rev. B PRBMDO 0163-1829 47, 872 (1993); 10.1103/PhysRevB.47.872
18. G. Fáth J. Sólyom Phys. Rev. B PRBMDO 0163-1829 51, 3620 (1995). 10.1103/PhysRevB.51.3620
19. A.V. Chubukov, J. Phys. Condens. Matter 2, 1593 (1990); JCOMEL 0953-8984 10.1088/0953-8984/2/6/018
20. A.V. Chubukov Phys. Rev. B PRBMDO 0163-1829 43, 3337 (1991); 10.1103/PhysRevB.43.3337
21. A. Läuchli, G. Schmid, and T. Trebst, cond-mat/0311082.
22. K. Buchta, G. Fáth, Ö. Legeza, and J. Sólyom, Phys. Rev. B PRBMDO 0163-1829 72, 054433 (2005). 10.1103/PhysRevB.72.054433
23. J. Rissler, R.M. Noack, and S.R. White, cond-mat/0508524.
24. Ö. Legeza, J. Röder, and B.A. Hess, Phys. Rev. B PRBMDO 0163-1829 67, 125114 (2003); 10.1103/PhysRevB.67.125114
25. Ö. Legeza and J. Sólyom, Phys. Rev. B PRBMDO 0163-1829 70, 205118 (2004). 10.1103/PhysRevB.70.205118
26. I. Affleck, T. Kennedy, E. Lieb, and H. Tasaki, Phys. Rev. Lett. 59, 799 (1987). PRLTAO 0031-9007 10.1103/PhysRevLett.59.799
27. J.B. Torrance, J.E. Vazquez, J.J. Mayerle, and V.Y. Lee, Phys. Rev. Lett. 46, 253 (1981). PRLTAO 0031-9007 10.1103/PhysRevLett.46.253
28. J. Hubbard and J.B. Torrance, Phys. Rev. Lett. 47, 1750 (1981). PRLTAO 0031-9007 10.1103/PhysRevLett.47.1750
29. M. Fabrizio, A.O. Gogolin, and A.A. Nersesyan, Phys. Rev. Lett. 83, 2014 (1999); PRLTAO 0031-9007 10.1103/PhysRevLett.83.2014
30. M. Fabrizio A.O. Gogolin A.A. Nersesyan Nucl. Phys. NUPBBO 0550-3213 B580, 647 (2000). 10.1016/S0550-3213(00)00247-9
31. A.P. Kampf, M. Sekania, G.I. Japaridze, and P. Brune, J. Phys. Condens. Matter 15, 5895 (2003). JCOMEL 0953-8984 10.1088/0953-8984/15/34/319
32. S.R. Manmana, V. Meden, R.M. Noack, and K. Schönhammer, Phys. Rev. B PRBMDO 0163-1829 70, 155115 (2004). 10.1103/PhysRevB.70.155115
33. Z.G. Soos, S.A. Bewick, A. Peri, and A. Painelli, J. Chem. Phys. 120, 6712 (2004). JCPSA6 0021-9606 10.1063/1.1665824
34. A.A. Aligia and C.D. Batista, Phys. Rev. B PRBMDO 0163-1829 71, 125110 (2005). 10.1103/PhysRevB.71.125110
35. L. Tincani, R. Noack, and D. Baeriswyl (to be published).
36. H. Otsuka and M. Nakamura, Phys. Rev. B PRBMDO 0163-1829 71, 155105 (2005). 10.1103/PhysRevB.71.155105
37. B. Horovitz and J. Sólyom, Phys. Rev. B PRBMDO 0163-1829 35, 7081 (1987). 10.1103/PhysRevB.35.7081
38. A. Painelli and A. Girlando, Phys. Rev. B PRBMDO 0163-1829 37, 5748 (1988). 10.1103/PhysRevB.37.5748
39. G. Vidal, J.I. Latorre, E. Rico, and A. Kitaev, Phys. Rev. Lett. 90, 227902 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.90.227902
40. S.-S. Deng, S.-J. Gu, and H.-Q. Lin, quant-ph/0511103.