Universal geometric entanglement close to quantum phase transitions

Physical Review Letters

Volumn 100, Issue 13, 2008, Pages

  Orús, Román ^a  

^a UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION THEORY; ELECTRON ENERGY LEVELS; PHASE TRANSITIONS;

CORRELATION LENGTH; QUANTUM STATE; RENORMALIZATION GROUP TRANSFORMATIONS; UNIVERSAL GEOMETRIC ENTANGLEMENT;

QUANTUM THEORY;

EID: 41849148246     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.100.130502     Document Type: Article

References (27)

1. A.B. Zamolodchikov, JETP Lett. 43, 730 (1986). JTPLA2 0021-3640
2. G. Vidal, J.I. Latorre, E. Rico, and A. Kitaev, Phys. Rev. Lett. 90, 227902 (2003); PRLTAO 0031-9007 10.1103/PhysRevLett.90.227902
3. J.I. Latorre, E. Rico, and G. Vidal, Quantum Inf. Comput. QICUAW 1533-7146 4, 48 (2004);
4. V. Korepin, Phys. Rev. Lett. 92, 096402 (2004); PRLTAO 0031-9007 10.1103/PhysRevLett.92.096402
5. A.R. Its, B.Q. Jin, and V.E. Korepin, J. Phys. A JPHAC5 0305-4470 38, 2975 (2005). 10.1088/0305-4470/38/13/011
6. P. Calabresse and J. Cardy, J. Stat. Mech. 1742-5468 (2004) 0406:002.
7. J.I. Latorre, C.A. Lütken, E. Rico, and G. Vidal, Phys. Rev. A 71, 034301 (2005); PLRAAN 1050-2947 10.1103/PhysRevA.71.034301
8. R. Orús, Phys. Rev. A 71, 052327 (2005); PLRAAN 1050-2947 10.1103/PhysRevA.71.052327
9. H.-Q. Zhou, T. Barthel, J.O. Fjaerestad, and U. Schollwoeck, Phys. Rev. A 74, 050305(R) (2006). PLRAAN 1050-2947 10.1103/PhysRevA.74.050305
10. F. Verstraete, J.I. Cirac, J.I. Latorre, E. Rico, and M.M. Wolf, Phys. Rev. Lett. 94, 140601 (2005); PRLTAO 0031-9007 10.1103/PhysRevLett.94.140601
11. G. Vidal, Phys. Rev. Lett. 99, 220405 (2007); PRLTAO 0031-9007 10.1103/PhysRevLett.99.220405
12. F. Verstraete and J.I. Cirac, arXiv:cond-mat/0407066;
13. J. Jordan, R. Orús, G. Vidal, F. Verstraete, and J.I. Cirac, arXiv:cond-mat/0703788.
14. T.-C. Wei, D. Das, S. Mukhopadyay, S. Vishveshwara, and P.M. Goldbart, Phys. Rev. A 71, 060305(R) (2005). PLRAAN 1050-2947 10.1103/PhysRevA.71.060305
15. O. Gühne, G. Toth, and H.J. Briegel, New J. Phys. 7, 229 (2005). NJOPFM 1367-2630 10.1088/1367-2630/7/1/229
16. A. Botero and B. Reznik, arXiv:0708.3391.
17. T.-C. Wei and P.M. Goldbart, Phys. Rev. A 68, 042307 (2003). PLRAAN 1050-2947 10.1103/PhysRevA.68.042307
18. P. Ginsparg, in Fields, Strings and Critical Phenomena Proceedings of the Les Houches Summer School, Sesion XLIX, edited by, E. BrAzin, and, J. Zinn Justin, 1989 (arXiv:hep-th/9108028).
19. G. Vidal, Phys. Rev. Lett. 91, 147902 (2003); PRLTAO 0031-9007 10.1103/PhysRevLett.91.147902
20. G. Vidal, Phys. Rev. Lett. 93, 040502 (2004); PRLTAO 0031-9007 10.1103/PhysRevLett.93.040502
21. G. Vidal, Phys. Rev. Lett. 98, 070201 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.070201
22. H.-Q. Zhou, R. Orús, and G. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 100, 080601 (2008). 10.1103/PhysRevLett.100.080601
23. U. Schollwoeck, Rev. Mod. Phys. 77, 259 (2005). RMPHAT 0034-6861 10.1103/RevModPhys.77.259
24. R. Orús and G. Vidal, arXiv.org:0711.3960.
25. M.A. Nielsen and G. Vidal, Quantum Inf. Comput. QICUAW 1533-7146 1, 76 (2001).
26. R. Bathia, Matrix Analysis (Springer-Verlag, New York, 1997).
27. R. Orús, J.I. Latorre, J. Eisert, and M. Cramer, Phys. Rev. A 73, 060303(R) (2006). PLRAAN 1050-2947 10.1103/PhysRevA.73.060303