Entanglement spectrum in one-dimensional systems

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 78, Issue 3, 2008, Pages

  Calabrese, Pasquale ^a   Lefevre, Alexandre ^b  

^a UNIVERSITY OF PISA   (Italy)

^b CEA SACLAY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CONFORMAL FIELD THEORIES; EIGENVALUES; ENTANGLEMENT GAP; EXACT RESULTS; ONE-DIMENSIONAL SYSTEMS; REDUCED-DENSITY-MATRIX; UNIVERSAL SCALING; XX CHAIN;

EID: 53349141692     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.78.032329     Document Type: Article

References (34)

1. L. Amico, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.80.517 80, 517 (2008);
2. J. Cardy, Eur. Phys. J. B EPJBFY 1434-6028 (to be published).
3. C. Holzhey, F. Larsen, and F. Wilczek, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(94)90402-2 424, 443 (1994).
4. G. Vidal, J. I. Latorre, E. Rico, and A. Kitaev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.227902 90, 227902 (2003);
5. J. I. Latorre, Quantum Inf. Comput. QICUAW 1533-7146 4, 048 (2004).
6. P. Calabrese and J. Cardy, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 (2004) P06002;
7. P. Calabrese and J. Cardy, Int. J. Quantum Inf. ZZZZZZ 0219-7499 4, 429 (2006).
8. H. Li and F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.010504 101, 010504 (2008).
9. S. R. White, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69. 2863 69, 2863 (1992);
10. U. Schollwoeck, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.77. 259 77, 259 (2005).
11. N. Schuch, M. M. Wolf, F. Verstraete, and J. I. Cirac, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.030504 100, 030504 (2008);
12. D. Perez-Garcia, Quantum Inf. Comput. QICUAW 1533-7146 7, 401 (2007);
13. L. Tagliacozzo, T. R. de Oliveira, S. Iblisdir, and J. I. Latorre, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.78.024410 78, 024410 (2008).
14. P. Calabrese and J. Cardy, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 (2005) P04010;
15. P. Calabrese and J. Cardy, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 (2007) P10004.
16. J. Eisert and M. Cramer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.042112 72, 042112 (2005);
17. I. Peschel and J. Zhao, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 (2005) P11002;
18. R. Orus, J. I. Latorre, J. Eisert, and M. Cramer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.060303 73, 060303 (R) (2006).
19. B.-Q. Jin and V. E. Korepin, J. Stat. Phys. JSTPBS 0022-4715 10.1023/B:JOSS.0000037230.37166.42 116, 79 (2004).
20. P. Calabrese, M. Campostrini, and B. Nienhuis (unpublished).
21. H. Casini and M. Huerta, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 (2005) P05012;
22. H. Casini, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 (2005) P05007.
23. J. L. Cardy, J. Stat. Phys. JSTPBS 0022-4715 10.1007/s10955-007-9422-x 130, 129 (2008).
24. F. Franchini, J. Phys. A JPHAC5 0305-4470 10.1088/1751-8113/41/2/025302 41, 025302 (2008).
25. J. I. Latorre, C. A. Lutken, E. Rico, and G. Vidal, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.034301 71, 034301 (2005);
26. R. Orus, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.052327 71, 052327 (2005);
27. R. Orus, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.019904 73, 019904 (E) (2006).
28. H.-Q. Zhou, T. Barthel, J. O. Fjaerestad, and U. Schollwock, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.050305 74, 050305 (R) (2006).
29. I. Peschel, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 (2004) P06004;
30. I. Peschel, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/36/14/101 36, L205 (2003);
31. M.-C. Chung and I. Peschel, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.064412 64, 064412 (2001);
32. I. Peschel, Ann. Phys. ANPYA2 0003-3804 10.1002/(SICI)1521-3889(199902)8: 2<153::AID-ANDP153>3.0.CO;2-N 8, 153 (1999).
33. I. Peschel and T. T. Truong, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01307296 69, 385 (1987).
34. K. Okunishi, Y. Hieida, and Y. Akutsu, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.59.R6227 59, R6227 (1999).