Spatial structures and localization of vacuum entanglement in the linear harmonic chain

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 70, Issue 5 A, 2004, Pages

  Botero, Alonso ^a   Reznik, Benni ^b  

^a UNIVERSIDAD DE LOS ANDES   (Colombia)

^b TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ENTROPY; FERMIONS; HAMILTONIANS; HARMONIC ANALYSIS; MATRIX ALGEBRA; STATISTICAL MECHANICS; TOPOLOGY;

COVARIANCE MATRIX (CM); GAUSSIAN ENTANGLEMENT; GAUSSIAN QUANTUM STATE; NEUMANN ENTROPY;

QUANTUM THEORY;

EID: 37649027533     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.70.052329     Document Type: Article

References (36)

1. T. J. Osborne and M. A. Nielsen, Phys. Rev. A 66, 032110 (2002).
2. A. Osterloh, L. Amico, G. Falci, and R. Fazio, Nature (London) 416, 608 (2002).
3. G. Vidal, J. I. Lattore, E. Rico, and A. Kitaev, Phys. Rev. Lett. 90, 227902 (2003).
4. J. I. Latorre, E. Rico, and G. Vidal, Quantum Inf. Comput. 4, 48 (2004).
5. B. Q. Jin and V. E. Korepin, J. Stat. Phys. 116, 79 (2004).
6. P. Zanardi and X. Wang, J. Phys. A 35, 7947 (2002).
7. M. A. Martín-Delgado, e-print quant-ph/0207026.
8. K. Audenaert, J. Eisert, M. B. Plenio, and R. F. Werner, Phys. Rev. A 66, 042327 (2002).
9. M. B. Plenio, J. Hartley, and J. Eisert, New J. Phys. 6, 36 (2004).
10. V. Vedral, Central Eur. J. Phys. 1, 289 (2003).
11. C. Callan and F. Wilczek, Phys. Lett. B 333, 55 (1994).
12. D. Kabat and M. J. Strassler, Phys. Lett. B 329, 46 (1994).
13. C. Holzhey, F. Larsen, and F. Wilczek, Nucl. Phys. 424, 443 (1994).
14. L. Bombelli, R. Koul, J. Lee, and R. Sorkin, Phys. Rev. D 34, 373 (1986).
15. M. Srednicki, Phys. Rev. Lett. 71, 666 (1993).
16. J. S. Dowker, Class. Quantum Grav. 11, L55 (1994).
17. F. Verstraete, M. Popp, and J. I. Cirac, Phys. Rev. Lett. 92, 027901 (2004).
18. F. Verstraete, M. A. Martin-Delgado, and J. I. Cirac, Phys. Rev. Lett. 92, 087201 (2004).
19. J. K. Pachos and M. B. Plenio, Phys. Rev. Lett. 93, 056402 (2004).
20. A. Botero and B. Reznik (unpublished).
21. J. Eisert and M. B. Plenio, Quantum Inf. Comput. 1, 479 (2003).
22. A. Botero and B. Reznik, Phys. Rev. A 67, 052311 (2003).
23. G. Giedke, J. Eisert, J. I. Cirac, and M. B. Plenio, Quantum Inf. Comput. 3, 211 (2003).
24. A. Botero and B. Reznik, Phys. Lett. A 331, 39 (2004).
25. B. Reznik, Found. Phys. 33, 167 (2003).
26. B. Reznik, A. Retzker, and J. Silman, e-print quant-ph/0310058.
27. J. Williamson, Am. J. Math. 58, 141 (1936).
28. R. Simon, E. C. G. Sudarshan, and N. Mukunda, Phys. Rev. A 36, 3868 (1987).
29. R. Simon, N. Mukunda, and B. Dutta, Phys. Rev. A 49, 1567 (1994).
30. I. Peschel, J. Stat. Mech.: Theory Exp. P06004 (2004).
31. G. Vidal and R. F. Werner, Phys. Rev. A 65, 032314 (2002).
32. S. R. White, Phys. Rev. Lett. 69, 2863 (1992).
33. S. R. White, Phys. Rep. 301, 187 (1998).
34. I. Peschel, M. Kaulke, and Ö. Legeza, Ann. Phys. (Leipzig) 8, 153 (1999).
35. I. Peschel and M. C. Chung, J. Phys. A 32, 8419 (1999).
36. M. C. Chung and I. Peschel, Phys. Rev. B 62, 4191 (2000).