Determination of ground-state properties in quantum spin systems by single-qubit unitary operations and entanglement excitation energies

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 77, Issue 1, 2008, Pages

  Giampaolo, S M ^a,b,c   Illuminati, F ^a,b,c,d   Verrucchi, P ^e   De Siena, S ^a,b  

^a UNIVERSITY OF SALERNO   (Italy)

^b INFM   (Italy)

^c INFN SEZIONE DI NAPOLI   (Italy)

^d ISI FOUNDATION   (Italy)

^e UNIVERSITY OF FLORENCE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

GROUND STATE; HAMILTONIANS; MATHEMATICAL MODELS;

ENTANGLEMENT EXCITATION ENERGIES; QUANTUM SPIN SYSTEMS; QUANTUM TRANSITION;

QUANTUM THEORY;

EID: 38349188224     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.77.012319     Document Type: Article

References (23)

1. M. R. Dowling, A. C. Doherty, and S. D. Bartlett, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.062113 70, 062113 (2004).
2. O. G'hne and G. Toth, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73. 052319 73, 052319 (2006).
3. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, 2000).
4. A. Osterloh, L. Amico, G. Falci, and R. Fazio, Nature (London) NATUAS 0028-0836 10.1038/416608a 416, 608 (2002).
5. T. J. Osborne and M. A. Nielsen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.032110 66, 032110 (2002).
6. For a comprehensive review, see L. Amico, R. Fazio, A. Osterloh, and V. Vedral, Rev. Mod. Phys. (to be published), e-print arXiv:quant-ph/0703044, and references therein.
7. For a recent overview, see R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki, e-print arXiv:quant-ph/0702225, and references therein.
8. J. Kurmann, H. Thomas, and G. M'ller, Physica A PHYADX 0378-4371 10.1016/0378-4371(82)90217-5 112, 235 (1982).
9. T. Roscilde, P. Verrucchi, A. Fubini, S. Haas, and V. Tognetti, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.167203 93, 167203 (2004)
10. T. Roscilde, P. Verrucchi, A. Fubini, S. Haas, and V. Tognetti, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.147208 94, 147208 (2005).
11. S. M. Giampaolo and F. Illuminati, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.042301 76, 042301 (2007).
12. G. Adesso, S. M. Giampaolo, and F. Illuminati, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.042334 76, 042334 (2007).
13. L. Amico, F. Baroni, A. Fubini, D. Patan', V. Tognetti, and P. Verrucchi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.022322 74, 022322 (2006).
14. F. Baroni, A. Fubini, V. Tognetti, and P. Verrucchi, J. Phys. A 40, 9845 (2007). 0022-3689
15. V. Coffman, J. Kundu, and W. K. Wootters, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.052306 61, 052306 (2000).
16. T. J. Osborne and F. Verstraete, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.220503 96, 220503 (2006).
17. C. H. Bennett, H. J. Bernstein, S. Popescu, and B. Schumacher, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.53.2046 53, 2046 (1996).
18. E. Barouch, B. McCoy, and M. Dresden, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.2.1075 2, 1075 (1970)
19. E. Barouch and B. McCoy, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.3.786 3, 786 (1971).
20. P. Pfeuty, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/0003-4916(70)90270- 8 57, 79 (1970).
21. O. F. Syljuasen and A. W. Sandvik, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.046701 66, 046701 (2002).
22. W. K. Wootters, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80. 2245 80, 2245 (1998).
23. S. Ghosh, T. Rosenbaum, G. Aeppli, and S. Coppersmith, Nature (London) NATUAS 0028-0836 10.1038/nature01888 425, 48 (2003).