Entanglement in a first-order quantum phase transition

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 69, Issue 5 B, 2004, Pages

  Vidal, Julien ^a   Mosseri, Rémy ^a   Dukelsky, Jorge ^b  

^a INSTITUT DES NANOSCIENCES DE PARIS   (France)

^b INSTITUTO DE ESTRUCTURA DE LA MATERIA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; FREE ENERGY; GROUND STATE; HAMILTONIANS; MAGNETIC FIELDS; MATHEMATICAL MODELS; MATRIX ALGEBRA; PHASE TRANSITIONS; SPECTRUM ANALYSIS; THERMODYNAMICS;

SINGLET STATES; SPIN-FLIP SYMMETRY; TRANSITION POINTS; TWO-SPIN ENTANGLEMENT;

QUANTUM THEORY;

EID: 3042754817     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.69.054101     Document Type: Article

References (31)

1. E. Schrödinger, Naturwissenschaften 23, 807 (1935); 23, 823 (1935); 23, 844 (1935).
2. E. Schrödinger, Naturwissenschaften 23, 807 (1935); 23, 823 (1935); 23, 844 (1935).
3. E. Schrödinger, Naturwissenschaften 23, 807 (1935); 23, 823 (1935); 23, 844 (1935).
4. A. Einstein, B. Podolsky, and N. Rosen, Phys. Rev. 47, 777 (1935).
5. J. Preskill, J. Mod. Opt. 47, 127 (2000).
6. D. Bouwmeester, A. Eckert, and A. Zeilinger, The Physics of Quantum Information (Springer-Verlag, Berlin, 2000).
7. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000).032307
8. T. J. Osborne and M. A. Nielsen, Phys. Rev. A 66, 032110 (2002).
9. A. Osterloh, L. Amico, G. Falci, and R. Fazio, Nature (London) 416, 608 (2002).
10. G. Vidal, J. I. Latorre, E. Rico, and A. Kitaev, Phys. Rev. Lett. 90, 227902 (2003).
11. J. I. Latorre, E. Rico, and G. Vidai, e-print quant-ph/0304098.
12. S. J. Gu, H. Q. Lin, and Y. Q. Li, Phys. Rev. A 68, 042330 (2003).
13. U. Glaser, H. Büttner, and H. Fehske, Phys. Rev. A 68, 032318 (2003).
14. V. E. Korepin, Phys. Rev. Lett. 92, 096402 (2004).
15. I. Bose and E. Chattopadhyay, Phys. Rev. A 66, 062320 (2002).
16. J. Vidal, G. Palacios, and R. Mosseri, Phys. Rev. A 69, 022107 (2004).
17. N. Lambert, C. Emary, and T. Brandes, Phys. Rev. Lett. 92, 073602 (2004).
18. S. J. Gu, Y. Q. Li, and H. Q. Lin, e-print quant-ph/0310030.
19. W. K. Wootters, Phys. Rev. Lett. 80, 2245 (1998).
20. H. J. Lipkin, N. Meshkov, and A. J. Glick, Nucl. Phys. 62, 188 (1965).
21. R. Botet, R. Jullien, and P. Pfeuty, Phys. Rev. Lett. 49, 478 (1982).
22. R. Botet and R. Jullien, Phys. Rev, B 28, 3955 (1983).
23. R. G. Unanyan and M. Fleischhauer, Phys. Rev. Lett. 90, 133601 (2003).
24. E. Witten, Nucl. Phys. B 188, 513 (1981).
25. Note that a sign error has been inserted in Ref. [21].
26. Contrary to the ferromagnetic case where it can be doubly degenerate [14], the ground state in the S=N/2 sector is always nondegenerate.
27. R. H. Dicke, Phys. Rev. 93, 99 (1954).
28. J. K. Stockton, J. M. Geremia, A. C. Doherty, and H. Mabuchi, Phys. Rev. A 67, 022112 (2003).
29. X. Wang and K. Mølmer, Eur. Phys. J. D 18, 385 (2002).
30. A. Wong and N. Christensen, Phys. Rev. A 63, 044301 (2001).
31. G. Jaeger et al., Phys. Rev. A 67, 032307 (2003).