Local measures of entanglement and critical exponents at quantum phase transitions

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 73, Issue 1, 2006, Pages

  Campos Venuti, L ^a,b   Degli Esposti Boschi, C ^a,c   Roncaglia, M ^a,b,c   Scaramucci, A ^a  

^a UNIVERSITY OF BOLOGNA   (Italy)

^b INFN SEZIONE DI BOLOGNA   (Italy)

^c INFM   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

QUANTUM THEORY; STATISTICAL MECHANICS;

ENTANGLEMENT; FINITE-SIZE SCALING ANALYSIS; QUANTUM PHASE TRANSITIONS;

PHASE TRANSITIONS;

EID: 33144470377     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.73.010303     Document Type: Article

References (25)

1. T. J. Osborne and M. A. Nielsen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.032110 66, 032110 (2002).
2. G. Vidal, J. I. Latorre, E. Rico, and A. Kitaev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.227902 90, 227902 (2003).
3. S. Lloyd, Science SCIEAS 0036-8075 261, 1569 (1993).
4. C. H. Bennett and D. P. DiVincenzo, Nature (London) NATUAS 0028-0836 10.1038/35005001 404, 247 (2000).
5. A. Osterloh, L. Amico, G. Falci, and R. Fazio, Nature (London) NATUAS 0028-0836 10.1038/416608a 416, 608 (2002).
6. R. Somma, G. Ortiz, H. Barnum, E. Knill, and L. Viola, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.042311 70, 042311 (2004).
7. J. Vidal, G. Palacios, and R. Mosseri, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.022107 69, 022107 (2004).
8. T. Roscilde, P. Verrucchi, A. Fubini, S. Haas, and V. Tognetti, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.167203 93, 167203 (2004).
9. S.-J. Gu, S.-S. Deng, Y.-Q. Li, and H.-Q. Lin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.086402 93, 086402 (2004).
10. P. Zanardi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.042101 65, 042101 (2002).
11. M.-F. Yang, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.030302 71, 030302 (R) (2005).
12. A. Anfossi, P. Giorda, A. Montorsi, and F. Traversa, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.056402 95, 056402 (2005).
13. P. Calabrese and J. Cardy, J. Stat. Mech.: Theory Exp. 1742-5468 (2004), P06002.
14. F. Verstraete, M. A. Mart̃n-Delgado, and J. I. Cirac, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.087201 92, 087201 (2004).
15. L. Campos Venuti and M. Roncaglia, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.207207 94, 207207 (2005).
16. D. Larsson and H. Johannesson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.196406 95, 196406 (2005).
17. W. Chen, K. Hida, and B. C. Sanctuary, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.67.104401 67, 104401 (2003).
18. L. A. Wu, M. S. Sarandy, and D. A. Lidar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.250404 93, 250404 (2004).
19. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, 1999).
20. M. N. Barber, in Phase Transitions and Critical Phenomena, edited by, C. Domb, and, J. L. Lebowitz, (Academic, New York, 1983), Vol. 8.
21. C. Degli Esposti Boschi, E. Ercolessi, F. Ortolani, and M. Roncaglia, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2003-00299-7 35, 465 (2003).
22. U. Glaus and T. Schneider, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.30.215 30, 215 (1984).
23. S. R. White, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.48.10345 48, 10345 (1993).
24. S. Lukyanov and A. Zamolodchikov, Nucl. Phys. B NUPBBO 0550-3213 10.1016/S0550-3213(97)00123-5 493, 571 (1997).
25. A. Kitazawa, K. Nomura, and K. Okamoto, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.4038 76, 4038 (1996).