Large-N scaling behavior of the Lipkin-Meshkov-Glick model

Physical Review Letters

Volumn 95, Issue 5, 2005, Pages

  Leyvraz, F ^a   Heiss, W D ^b  

^a INSTITUTO DE CIENCIAS FÍSICAS   (Mexico)

^b STELLENBOSCH UNIVERSITY   (South Africa)

Author keywords

[No Author keywords available]

Indexed keywords

CLASSICAL SYSTEM; THRESHOLD ENERGY; UNDEFORMED STATES;

EIGENVALUES AND EIGENFUNCTIONS; ENERGY ABSORPTION; MATHEMATICAL MODELS;

PHASE TRANSITIONS;

EID: 27144478875     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.95.050402     Document Type: Article

References (24)

1. H.J. Lipkin, N. Meshkov, and N. Glick, Nucl. Phys. NUPHA7 0029-5582 A62, 188 (1965); 10.1016/0029-5582(65)90862-X
2. H.J. Lipkin N. Meshkov N. Glick Nucl. Phys. NUPHA7 0029-5582 A62, 199 (1965)
3. H.J. Lipkin N. Meshkov N. Glick Nucl. Phys. NUPHA7 0029-5582 A62, 211 (1965).
4. R. Botet, R. Jullien, and P. Pfeuty, Phys. Rev. Lett. 49, 478 (1982). PRLTAO 0031-9007 10.1103/PhysRevLett.49.478
5. J.I. Cirac, M. Lewenstein, K. Mølmer, and P. Zoller, Phys. Rev. A PLRAAN 1050-2947 57, 1208 (1998). 10.1103/PhysRevA.57.1208
6. J. Vidal, G. Palacios, and R. Mosseri, Phys. Rev. A PLRAAN 1050-2947 69, 022107 (2004). 10.1103/PhysRevA.69.022107
7. F. Pan and J.P. Draayer, Phys. Lett. B 451, 1 (1999). PYLBAJ 0370-2693 10.1016/S0370-2693(99)00191-4
8. J. Links, H.-Q. Zhou, R.H. McKenzie, and M.D. Gould, J. Phys. A JPHAC5 0305-4470 36, R63 (2003). 10.1088/0305-4470/36/19/201
9. S. Dusuel and J. Vidal, Phys. Rev. Lett. 93, 237204 (2004), and papers quoted therein. PRLTAO 0031-9007 10.1103/PhysRevLett.93.237204
10. W.D. Heiss, F.G. Scholtz, and H.B. Geyer, J. Phys. A JPHAC5 0305-4470 38, 1843 (2005). 10.1088/0305-4470/38/9/002
11. F.G. Scholtz, B.H. Bartlett, and H.B. Geyer, Phys. Rev. Lett. 91, 80602 (2003); PRLTAO 0031-9007 10.1103/PhysRevLett.91.080602
12. J.N. Kriel, A. Morozov, and F.G. Scholtz, J. Phys. A JPHAC5 0305-4470 38, 205 (2005). 10.1088/0305-4470/38/1/015
13. W.D. Heiss and A.L. Sannino, Phys. Rev. A PLRAAN 1050-2947 43, 4159 (1991). 10.1103/PhysRevA.43.4159
14. T. Kato, Perturbation Theory of Linear Operators (Springer, Berlin, 1966).
15. C.N. Yang and T.D. Lee, Phys. Rev. PHRVAO 0031-899X 87, 410 (1952). 10.1103/PhysRev.87.410
16. P. Borrmann, O. Mülken, and J. Harting, Phys. Rev. Lett. 84, 3511 (2000). PRLTAO 0031-9007 10.1103/PhysRevLett.84.3511
17. P. Cejnar, S. Heinze, and J. Dobes, Phys. Rev. C 71, 011304 (2005). PRVCAN 0556-2813 10.1103/PhysRevC.71.011304
18. W.D. Heiss and M. Müller, Phys. Rev. E 66, 016217 (2002). PLEEE8 1063-651X 10.1103/PhysRevE.66.016217
19. P. Ring and P. Schuck, The Nuclear Many Body Problem (Springer, New York, 1980).
20. J. Schliemann and F.G. Mertens, J. Phys. C 10, 1091 (1998).
21. M.Z.I. Gering and W.D. Heiss, Phys. Rev. C 29, 1113 (1984); PRVCAN 0556-2813 10.1103/PhysRevC.29.1113
22. W.D. Heiss and R.H. Lemmer, Phys. Rev. C 29, 2368 (1984). PRVCAN 0556-2813 10.1103/PhysRevC.29.2368
23. Y. Colin de Verdière and B. Parisse, Commun. Partial Differ. Equ. CPDIDZ 0360-5302 19, 1535 (1994);
24. Y. Colin de Verdière B. Parisse Ann. Inst. Henri Poincare Phys. Theor. AIPTEO 0246-0211 61, 347 (1994).