Entropic analysis of quantum phase transitions from uniform to spatially inhomogeneous phases

Physical Review Letters

Volumn 99, Issue 8, 2007, Pages

  Legeza, O ^a   Solyom J ^a   Tincani, L ^b   Noack, R M ^b  

^a WIGNER RESEARCH CENTRE FOR PHYSICS   (Hungary)

^b PHILIPPS UNIVERSITY MARBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ENTROPY; FOURIER ANALYSIS; PHASE TRANSITIONS; QUANTUM THEORY; SPECTRUM ANALYSIS;

INHOMOGENEOUS PHASES; NEUMANN ENTROPY; QUANTUM PHASE TRANSITIONS; SPIN MODELS; WAVE VECTOR;

FERMIONS;

CHEMICAL MODEL; CLOTHING; ENTROPY; PHASE TRANSITION; QUANTUM THEORY; THEORETICAL MODEL;

CLOTHING; ENTROPY; MODELS, CHEMICAL; MODELS, THEORETICAL; PHASE TRANSITION; QUANTUM THEORY;

EID: 34548279848     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.99.087203     Document Type: Article

References (43)

1. L.-A. Wu, M.S. Sarandy, and D.A. Lidar, Phys. Rev. Lett. 93, 250404 (2004); PRLTAO 0031-9007 10.1103/PhysRevLett.93.250404
2. W.K. Wootters Phys. Rev. Lett. PRLTAO 0031-9007 80, 2245 (1998)
3. T.J. Osborne and M.A. Nielsen, Phys. Rev. A 66, 032110 (2002). PLRAAN 1050-2947 10.1103/PhysRevA.66.032110
4. A. Osterloh, L. Amico, G. Falci, and R. Fazio, Nature (London) 416, 608 (2002). NATUAS 0028-0836 10.1038/416608a
5. S.-J. Gu, H.-Q. Lin, and Y.-Q. Li, Phys. Rev. A 68, 042330 (2003). PLRAAN 1050-2947 10.1103/PhysRevA.68.042330
6. J. Vidal, G. Palacios, and R. Mosseri, Phys. Rev. A 69, 022107 (2004); PLRAAN 1050-2947 10.1103/PhysRevA.69.022107
7. J. Vidal, R. Mosseri, and J. Dukelsky, Phys. Rev. A 69, 054101 (2004). PLRAAN 1050-2947 10.1103/PhysRevA.69.054101
8. 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
9. M.-F. Yang, Phys. Rev. A PLRAAN 1050-2947 71, 030302(R) (2005).
10. P. Zanardi, Phys. Rev. A 65, 042101 (2002). PLRAAN 1050-2947 10.1103/PhysRevA.65.042101
11. 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
12. D. Larsson and H. Johannesson, Phys. Rev. Lett. 95, 196406 (2005); PRLTAO 0031-9007 10.1103/PhysRevLett.95.196406
13. D. Larsson H. Johannesson Phys. Rev. A 73, 042320 (2006). PLRAAN 1050-2947 10.1103/PhysRevA.73.042320
14. Ö. Legeza and J. Sólyom, Phys. Rev. Lett. 96, 116401 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.116401
15. S.-S. Deng, S.-J. Gu, and H.-Q. Lin, Phys. Rev. B PRBMDO 0163-1829 74, 045103 (2006). 10.1103/PhysRevB.74.045103
16. G. Vidal, J.I. Latorre, E. Rico, and A. Kitaev, Phys. Rev. Lett. 90, 227902 (2003); PRLTAO 0031-9007 10.1103/PhysRevLett.90.227902
17. V.E. Korepin, Phys. Rev. Lett. 92, 096402 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.92.096402
18. Pasquale Calabrese and John Cardy, J. Stat. Mech. 1742-5468 06 (2004) P06002.
19. I. Affleck and A.W.W. Ludwig, Phys. Rev. Lett. 67, 161 (1991). PRLTAO 0031-9007 10.1103/PhysRevLett.67.161
20. C. Holzhey, F. Larsen, and F. Wilczek, Nucl. Phys. B NUPBBO 0550-3213 424, 443 (1994). 10.1016/0550-3213(94)90402-2
21. N. Laflorencie, E.S. Sørensen, M.-S. Chang, and I. Affleck, Phys. Rev. Lett. 96, 100603 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.100603
22. S.R. White, Phys. Rev. Lett. 69, 2863 (1992); PRLTAO 0031-9007 10.1103/PhysRevLett.69.2863
23. S.R. White Phys. Rev. B PRBMDO 0163-1829 48, 10345 (1993). 10.1103/PhysRevB.48.10345
24. For its phase diagram see G. Fáth and J. Sólyom, Phys. Rev. B PRBMDO 0163-1829 44, 11836 (1991); 10.1103/PhysRevB.44.11836
25. G. Fáth J. Sólyom Phys. Rev. B PRBMDO 0163-1829 47, 872 (1993); 10.1103/PhysRevB.47.872
26. G. Fáth J. Sólyom Phys. Rev. B PRBMDO 0163-1829 51, 3620 (1995). 10.1103/PhysRevB.51.3620
27. L.A. Takhtajan, Phys. Lett. A 87, 479 (1982); PYLAAG 0375-9601 10.1016/0375-9601(82)90764-2
28. H.M. Babujian, Phys. Lett. A 90, 479 (1982). PYLAAG 0375-9601 10.1016/0375-9601(82)90403-0
29. G.V. Uimin, JETP Lett. 12, 225 (1970); JTPLA2 0021-3640
30. C.K. Lai, J. Math. Phys. JMAPAQ 0022-2488 15, 1675 (1974); 10.1063/1.1666522
31. B. Sutherland, Phys. Rev. B PRBMDO 0163-1829 12, 3795 (1975). 10.1103/PhysRevB.12.3795
32. Ö. Legeza and J. Sólyom, Phys. Rev. B PRBMDO 0163-1829 70, 205118 (2004); 10.1103/PhysRevB.70.205118
33. I. Affleck, Phys. Rev. Lett. PRLTAO 0031-9007 56, 746 (1986).
34. I. Affleck and F.D.M. Haldane, Phys. Rev. B PRBMDO 0163-1829 36, 5291 (1987). 10.1103/PhysRevB.36.5291
35. C. Itoi and M.-H. Kato, Phys. Rev. B PRBMDO 0163-1829 55, 8295 (1997). 10.1103/PhysRevB.55.8295
36. I. Affleck, T. Kennedy, E. Lieb, and H. Tasaki, Phys. Rev. Lett. 59, 799 (1987). PRLTAO 0031-9007 10.1103/PhysRevLett.59.799
37. U. Schollwock, Th. Jolicoeur, and T. Garel, Phys. Rev. B PRBMDO 0163-1829 53, 3304 (1996). 10.1103/PhysRevB.53.3304
38. H. Fan, V. Korepin, and V. Roychowdhury, Phys. Rev. Lett. 93, 227203 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.227203
39. C.K. Majumdar and D.K. Ghosh, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 10, 1388 (1969); 10.1063/1.1664978
40. C.K. Majumdar D.K. Ghosh J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 10, 1399 (1969). 10.1063/1.1664979
41. S.R. White and I. Affleck, Phys. Rev. B PRBMDO 0163-1829 54, 9862 (1996). 10.1103/PhysRevB.54.9862
42. G.I. Japaridze, R.M. Noack, and D. Baeriswyl, arXiv:cond-mat/0607054 (unpublished).
43. K. Buchta, E. Szirmai, Ö. Legeza, and J. Sólyom, Phys. Rev. B PRBMDO 0163-1829 75, 155108 (2007). 10.1103/PhysRevB.75.155108