Universality of the negativity in the Lipkin-Meshkov-Glick model5

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 81, Issue 3, 2010, Pages

  Wichterich, Hannu ^a   Vidal, Julien ^b   Bose, Sougato ^a  

^a UNIVERSITY COLLEGE LONDON   (United Kingdom)

^b UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BIPARTITION; CRITICAL POINTS; ENTANGLEMENT ENTROPY; ENTANGLEMENT MEASURE; LIMITING CASE; LOGARITHMIC NEGATIVITY; MANY-BODY SYSTEMS; SCALING EXPONENT;

EQUATIONS OF STATE;

SPIN DYNAMICS;

EID: 77949368191     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.81.032311     Document Type: Article

References (27)

1. L. Amico, R. Fazio, A. Osterloh, and V. Vedral, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.80.517 80, 517 (2009).
2. S. Ghosh, T. F. Rosenbaum, G. Aeppli, and S. N. Coppersmith, Nature (London) NATUAS 0028-0836 10.1038/nature01888 425, 48 (2003).
3. G. Vidal and R. F. Werner, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.032314 65, 032314 (2002).
4. H. Wichterich, J. Molina-Vilaplana, and S. Bose, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.010304 80, 010304 (R) (2009).
5. S. Marcovitch, A. Retzker, M. B. Plenio, and B. Reznik, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.012325 80, 012325 (2009).
6. R. H. Dicke, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.93.99 93, 99 (1954).
7. H. J. Lipkin, N. Meshkov, and A. J. Glick, Nucl. Phys. NUPHA7 0029-5582 10.1016/0029-5582(65)90862-X 62, 188 (1965).
8. N. Meshkov, A. J. Glick, and H. J. Lipkin, Nucl. Phys. NUPHA7 0029-5582 10.1016/0029-5582(65)90863-1 62, 199 (1965).
9. A. J. Glick, H. J. Lipkin, and N. Meshkov, Nucl. Phys. NUPHA7 0029-5582 10.1016/0029-5582(65)90864-3 62, 211 (1965).
10. J. Vidal, G. Palacios, and R. Mosseri, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.022107 69, 022107 (2004).
11. S. Dusuel and J. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.237204 93, 237204 (2004).
12. S. Dusuel and J. Vidal, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.71.224420 71, 224420 (2005).
13. J. I. Latorre, R. Orús, E. Rico, and J. Vidal, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.064101 71, 064101 (2005).
14. T. Barthel, S. Dusuel, and J. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.220402 97, 220402 (2006).
15. R. Orús, S. Dusuel, and J. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.025701 101, 025701 (2008).
16. H.-M. Kwok, W.-Q. Ning, S.-J. Gu, and H.-Q. Lin, Phys. Rev. E PRLTAO 1539-3755 10.1103/PhysRevE.78.032103 78, 032103 (2008).
17. J. Ma, L. Xu, H.-N. Xiong, and X. Wang, Phys. Rev. E PRLTAO 1539-3755 10.1103/PhysRevE.78.051126 78, 051126 (2008).
18. H. T. Quan and F. M. Cucchietti, Phys. Rev. E PRLTAO 1539-3755 10.1103/PhysRevE.79.031101 79, 031101 (2009).
19. R. Botet and R. Jullien, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.28.3955 28, 3955 (1983).
20. T. Holstein and H. Primakoff, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.58.1098 58, 1098 (1940).
21. J. Eisert, M. Cramer, and M. B. Plenio, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.82.277 82, 277 (2010).
22. M. Cramer and J. Eisert, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/8/5/071 8, 71 (2006).
23. R. Simon, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.2726 84, 2726 (2000).
24. J. Vidal, S. Dusuel, and T. Barthel, J. Stat. Mech.: Theory Exp. 1742-5468 10.1088/1742-5468/2007/01/P01015 (2007) P01015.
25. S. Furukawa, V. Pasquier, and J. Shiraishi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.170602 102, 170602 (2009).
26. P. Calabrese, J. Cardy, and E. Tonni, J. Stat. Mech.: Theory Exp. 1742-5468 10.1088/1742-5468/2009/11/P11001 (2009) P11001.
27. N. Lambert, C. Emary, and T. Brandes, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.073602 92, 073602 (2004).