Entanglement of collectively interacting harmonic chains: An effective two-dimensional system

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 75, Issue 4, 2007, Pages

  Unanyan, R G ^a,b   Fleischhauer, M ^b   Bruss D ^a  

^a HEINRICH HEINE UNIVERSITY   (Germany)

^b Rheinland Pfälzische Technische Universität Kaiserslautern Landau   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; CRYSTALS; ENTROPY; GROUND STATE; HARMONIC ANALYSIS; IONS; MOLECULAR INTERACTIONS;

ANISOTROPIC ION CRYSTALS; HARMONIC CHAINS; LOGARITHMIC CORRECTIONS;

ATOMIC PHYSICS;

EID: 34247626438     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.75.040302     Document Type: Article

References (20)

1. G. Vidal, J. I. Latorre, E. Rico, and A. Kitaev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.227902 90, 227902 (2003);
2. V. E. Korepin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92. 096402 92, 096402 (2003);
3. B.-Q. Jin and V. E. Korepin, J. Stat. Phys. JSTPBS 0022-4715 10.1023/B:JOSS.0000037230.37166.42 116, 79 (2004);
4. A. R. Its, B. Q. Jin, and V. E. Korepin, J. Phys. A JPHAC5 0305-4470 38, 2975 (2005);
5. P. Calabrese and J. Cardy, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 (2004) P06002;
6. L.-A. Wu, M. S. Sarandy, and D. A. Lidar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.250404 93, 250404 (2004);
7. J. P. Keating and F. Mezzadri, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/s00220-004-1188-2 252, 543 (2004);
8. J. P. Keating and F. Mezzadri, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.050501 94, 050501 (2005);
9. A. Hamma, R. Ionicioiu, and P. Zanardi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.022315 71, 022315 (2005).
10. 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).
11. M. Srednicki, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.71. 666 71, 666 (1993).
12. M. B. Plenio, J. Eisert, J. Dreißig, and M. Cramer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.060503 94, 060503 (2005).
13. M. Cramer, J. Eisert, M. B. Plenio, and J. Dreißig, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.012309 73, 012309 (2006).
14. R. G. Unanyan and M. Fleischhauer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.260604 95, 260604 (2005).
15. W. Dür, L. Hartmann, M. Hein, M. Lewenstein, and H.-J. Briegel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.097203 94, 097203 (2005).
16. M. Cramer, J. Eisert, and M. B. Plenio, e-print quant-ph/0611264 (unpublished).
17. A. Botero and B. Reznik, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.052329 70, 052329 (2004).
18. B. V. Lidskii, Dokl. Akad. Nauk SSSR DANKAS 0002-3264 74, 769 (1950);
19. see also T. Kato, Perturbation Theory for Linear Operators (Springer, Berlin, 1966).
20. U. Grenander and G. Szegö, Toeplitz Forms and Their Applications (University of California Press, Berkeley, CA, 1958).