Thermodynamical limit of the Lipkin-Meshkov-Glick model

Physical Review Letters

Volumn 99, Issue 5, 2007, Pages

  Ribeiro, Pedro ^a   Vidal, Julien ^a   Mosseri, Rémy ^a  

^a UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

GROUND STATE; MATHEMATICAL MODELS; PARAMETER ESTIMATION; SPECTRUM ANALYSIS; THERMODYNAMICS;

MAJORANA POLYNOMIAL ROOTS; TWO PHASES;

POLYNOMIALS;

EID: 34547680128     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.99.050402     Document Type: Article

References (24)

1. H.J. Lipkin, N. Meshkov, and A.J. Glick, Nucl. Phys. 0029-5582 62, 188 (1965). 10.1016/0029-5582(65)90862-X
2. R. Botet and R. Jullien, Phys. Rev. B PRBMDO 0163-1829 28, 3955 (1983). 10.1103/PhysRevB.28.3955
3. J.I. Cirac, M. Lewenstein, K. Mølmer, and P. Zoller, Phys. Rev. A 57, 1208 (1998). PLRAAN 1050-2947 10.1103/PhysRevA.57.1208
4. D.A. Garanin, X. Martínez Hidalgo, and E.M. Chudnovsky, Phys. Rev. B PRBMDO 0163-1829 57, 13639 (1998). 10.1103/PhysRevB.57.13639
5. A.V. Turbiner, Commun. Math. Phys. 118, 467 (1988). CMPHAY 0010-3616 10.1007/BF01466727
6. V.V. Ulyanov and O.B. Zaslavskii, Phys. Rep. 216, 179 (1992). PRPLCM 0370-1573 10.1016/0370-1573(92)90158-V
7. J. Vidal, G. Palacios, and R. Mosseri, Phys. Rev. A 69, 022107 (2004). PLRAAN 1050-2947 10.1103/PhysRevA.69.022107
8. J.I. Latorre, R. Orús, E. Rico, and J. Vidal, Phys. Rev. A 71, 064101 (2005). PLRAAN 1050-2947 10.1103/PhysRevA.71.064101
9. S. Dusuel and J. Vidal, Phys. Rev. Lett. 93, 237204 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.237204
10. T. Barthel, S. Dusuel, and J. Vidal, Phys. Rev. Lett. 97, 220402 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.97.220402
11. F. Pan and J.P. Draayer, Phys. Lett. B 451, 1 (1999). PYLBAJ 0370-2693 10.1016/S0370-2693(99)00191-4
12. 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
13. G. Ortiz, R. Somma, J. Dukelsky, and S. Rombouts, Nucl. Phys. NUPBBO 0550-3213 B707, 421 (2005). 10.1016/j.nuclphysb.2004.11.008
14. A. Dzhioev, Z. Aouissat, A. Storozhenko, A. Vdovin, and J. Wambach, Phys. Rev. C 69, 014318 (2004). PRVCAN 0556-2813 10.1103/PhysRevC.69.014318
15. A. Kuriyama, J. Phys. A JPHAC5 0305-4470 36, 10361 (2003). 10.1088/0305-4470/36/41/008
16. W.D. Heiss, F.G. Scholz, and H.B. Geyer, J. Phys. A JPHAC5 0305-4470 38, 1843 (2005). 10.1088/0305-4470/38/9/002
17. O. Castaños, R. López-Peña, J.G. Hirsch, and E. López-Moreno, Phys. Rev. B PRBMDO 0163-1829 74, 104118 (2006). 10.1103/PhysRevB.74.104118
18. J.R. Klauder and B.S. Skagerstam, Coherent States (World Scientific, Singapore, 1985).
19. E. Majorana, Nuovo Cimento 9, 43 (1932). NUCIAD 0029-6341
20. J. Kurchan, P. Leboeuf, and M. Saraceno, Phys. Rev. A 40, 6800 (1989). PLRAAN 1050-2947 10.1103/PhysRevA.40.6800
21. P. Leboeuf and A. Voros, J. Phys. A JPHAC5 0305-4470 23, 1765 (1990). 10.1088/0305-4470/23/10/017
22. P. Ribeiro, J. Vidal, and R. Mosseri (to be published).
23. F. Leyvraz and W.D. Heiss, Phys. Rev. Lett. 95, 050402 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.050402
24. G.W. King, J. Chem. Phys. 15, 820 (1947). JCPSA6 0021-9606 10.1063/1.1746344