Area law and vacuum reordering in harmonic networks

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 74, Issue 5, 2006, Pages

  Riera, A ^a   Latorre, J I ^a  

^a UNIVERSITY OF BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ENTROPY; HARMONIC ANALYSIS; MATRIX ALGEBRA; QUANTUM THEORY; VACUUM;

GEOMETRIC ENTROPY; MAJORIZATION RELATIONS; SCALAR FREE FIELD THEORY;

ATOMIC PHYSICS;

EID: 33751096182     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.74.052326     Document Type: Article

References (61)

1. W. K. Wootters, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80. 2245 80, 2245 (1998).
2. M. Srednicki, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.71. 666 71, 666 (1993).
3. C. G. Callan and F. Wilczek, Phys. Lett. B PYLBAJ 0370-2693 10.1016/0370-2693(94)91007-3 333, 55 (1994);
4. C. Holzhey, F. Larsen, and F. Wilczek, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(94)90402-2 424, 443 (1994).
5. T. M. Fiola, J. Preskill, A. Strominger, and S. P. Trivedi, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.50.3987 50, 3987 (1994).
6. G. Vidal, J. I. Latorre, E. Rico, and A. Kitaev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.227902 90, 227902 (2003);
7. J. I. Latorre, E. Rico, and G. Vidal, Quantum Inf. Comput. QICUAW 1533-7146 10.1103/PhysRevLett.90.227902 4, 48 (2004).
8. L. Amico, A. Osterloh, F. Plastina, R. Fazio, and G. M. Palma, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.022304 69, 022304 (2004).
9. J. Eisert and M. Cramer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.042112 72, 042112 (2006).
10. I. Peschel and J. Zhao, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 2005, P11002.
11. R. Orús, J. I. Latorre, J. Eisert, and M. Cramer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.060303 73, 060303 (R) (2006).
12. M. Keyl, T. Matsui, D. Schlingemann, and R. F. Werner, e-print math-ph/0604071.
13. D. N. Page, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.71.1291 71, 1291 (1993);
14. K. Zyczkowski and H.-J. Sommers, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/34/35/335 34, 7111 (2001).
15. B.-Q. Jin and V. E. Korepin, J. Stat. Phys. JSTPBS 0022-4715 10.1023/B:JOSS.0000037230.37166.42 116, 79 (2004).
16. P. Calabrese and J. Cardy, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 2004, 0406.
17. M. M. Wolf, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96. 010404 96, 010404 (2006).
18. D. Gioev and I. Klich, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.100503 96, 100503 (2006).
19. T. Barthel, M. Chung, and U. Schollwoeck, e-print cond-mat/0602077.
20. W. Li, L. Ding, R. Yu, T. Roscilde, and S. Haas, e-print quant-ph/0602094.
21. D. Fursaev, e-print hep-th/0602134.
22. S. Ryu and T. Takayanagi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.181602 96, 181602 (2006);
23. e-print hep-th/0605073.
24. R. Emparan, e-print hep-th/0603081.
25. F. Verstraete and J. I. Cirac, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.060302 70, 060302 (R) (2004).
26. F. Verstraete, D. Porras, and J. I. Cirac, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.227205 93, 227205 (2004).
27. M. B. Plenio, J. Eisert, J. Dreissig, and M. Cramer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.060503 94, 060503 (2005);
28. M. Cramer, J. Eisert, M. B. Plenio, and J. Dreissig, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.012309 73, 012309 (2006).
29. F. Verstraete and J. I. Cirac, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.094423 73, 094423 (2006).
30. M. B. Hastings, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.085115 73, 085115 (2006).
31. F. Verstraete, M. Wolf, D. Pérez-García, and J. I. Cirac, e-print quant-ph/0601075.
32. F. Verstraete, J. I. Cirac, J. I. Latorre, E. Rico, and M. M. Wolf, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.140601 94, 140601 (2005).
33. K. Audenaert, J. Eisert, M. B. Plenio and R. F. Werner, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.042327 66, 042327 (2002).
34. A. R. Its, B.-Q. Jin, and V. E. Korepin, J. Phys. A JPHAC5 0305-4470 38, 2975 (2005).
35. I. Peschel, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 2004, P12005.
36. L. Bombelli, R. K. Koul, J. Lee, and R. D. Sorkin, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.34.373 34, 373 (1986).
37. D. Kabat and M. J. Strassler, Phys. Lett. B PYLBAJ 0370-2693 10.1016/0370-2693(94)90515-0 329, 46 (1994).
38. M. Cramer and J. Eisert, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/8/5/071 8, 71 (2006).
39. A. Botero and B. Reznik, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.052329 70, 052329 (2004).
40. A. Hamma, R. Ionicioiu, and P. Zanardi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.022315 71, 022315 (2005).
41. W. Dür, L. Hartmann, M. Hein, M. Lewenstein, and H. Briegel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.097203 94, 097203 (2005).
42. J. I. Latorre and R. Orús, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.062302 69, 062302 (2004);
43. R. Orús and J. I. Latorre, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.052308 69, 052308 (2004).
44. M. C. Bañuls, R. Orús, J. I. Latorre, A. Pérez, and P. Ruíz-Femenia, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.022344 73, 022344 (2006).
45. J. I. Latorre, R. Orús, E. Rico, and J. Vidal, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.064101 71, 064101 (2005).
46. J. Cardy and P. Calabrese, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 2005, P010.
47. G. De Chiara, S. Montangero, P. Calabrese, R. Fazio, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 2006, P03001.
48. F. Larsen and F. Wilczek, Ann. Phys. ANPYA2 0003-3804 243, 280 (1995).
49. S. N. Solodukhin, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.51.609 51, 609 (1995).
50. D. Kabat, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(95)00443-V 453, 281 (1995).
51. H. Casini, C. D. Fosco, and M. Huerta, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 0512, P012 (2005).
52. G. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.147902 91, 147902 (2003);
53. G. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.040502 93, 040502 (2004).
54. G. Vidal, e-print cond-mat/0512165.
55. J. I. Latorre, C. A. Lütken, E. Rico, and G. Vidal, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.034301 71, 034301 (2005).
56. R. Orús, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.052327 71, 052327 (2005).
57. A. B. Zamolodchikov, JETP Lett. JTPLA2 0021-3640 10.1134/1.563361 43, 730 (1986).
58. A. Cappelli, D. Friedan, and J. I. Latorre, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(91)90102-4 352, 616 (1991).
59. S. Forte and J. I. Latorre, Nucl. Phys. B NUPBBO 0550-3213 10.1016/S0550-3213(98)00631-2 535, 709 (1998).
60. H. Casini and M. Huerta, Phys. Lett. B PYLBAJ 0370-2693 10.1016/j.physletb.2004.08.072 600, 142 (2004).
61. H. Zhou, T. Barthel, J. Fjaerestad, and U. Schollwoeck, e-print cond-mat/0511732.