Extensive nonadditive entropy in quantum spin Chains

AIP Conference Proceedings

Volumn 965, Issue , 2007, Pages 51-59

  Caruso, Filippo ^a   Tsallis, Constantino ^b,c  

^a CNR   (Italy)

^b CENTRO BRASILEIRO DE PESQUISAS FÍSICAS   (Brazil)

^c SANTA FE INSTITUTE   (United States)

Author keywords

Entanglement; Nonadditive entropy; Nonextensive statistical mechanics; Quantum phase transitions; Quantum spin chains

Indexed keywords

EID: 58149174814     PISSN: 0094243X     EISSN: 15517616     Source Type: Conference Proceeding    
DOI: 10.1063/1.2828759     Document Type: Conference Paper

References (37)

1. S. Sachdev, Quantum Phase Transitions (Cambridge Univ. Press, Cambridge, 2000).
2. A. Osterloh, L. Amico, G. Falci and R. Fazio, Nature 416, 608 (2002).
3. T.J. Osborne and M.A. Nielsen, Phys. Rev. A 66, 032110 (2002).
4. G. Vidal, J.I. Latorre, E. Rico and A. Kitaev, Phys. Rev. Lett. 90, 227902 (2003).
5. A.R. Its, B.-Q. Jin and V.E. Korepin, J. Phys. A 38, 2975 (2005).
6. J.I. Latorre, E. Rico and G. Vidal, Quant. Inf. and Comp. 4, 48 (2004).
7. C. Tsallis, J. Stat. Phys. 52, 479 (1988).
8. J.P. Boon and C. Tsallis, eds., Nonextensive Statistical Mechanics: New Trends, New Perspectives, Europhysics News 36 (6) (2005).
9. F. Caruso and C. Tsallis, preprint (2007).
10. C. Tsallis, M. Gell-Mann and Y. Sato, Proc. Nat. Acad Set 102, 15377 (2005).
11. M. Nielsen and I. Chuang, Quantum Computation and Quantum Information (Cambridge Univ. Press, Cambridge, 2000).
12. V. Vedral and M.B. Plenio, Phys. Rev. A 57, 1619 (1998).
13. P Horodecki, R. Horodecki and M. Horodecki, Acta Phys. Slov 48, 141 (1998).
14. K. Zyczkowski and I. Bengtsson, Ann. Phys. 295, 115 (2002).
15. C. Brukner and A. Zeilinger, phys. Rev. A 63, 022113 (2001).
16. F. Giraldi and P Grigolini, Phys. Rev. A 64, 032310 (2001).
17. C. Tsallis, S. Lloyd and M. Baranger, Phys. Rev. A 63, 042104 (2001).
18. S. Abe, Phys. Rev. A 65, 052323 (2002).
19. S. Abe and A.K. Rajagopal, Phys. Rev. A 60, 3461 (1999).
20. A.K. Rajagopal and R.W. Rendell, Phys. Rev. A 72, 022322 (2005).
21. M.B. Plenio and S. Virmani, Quant. Inf. Comp. 7, 1 (2007).
22. A. Popescu, A.J. Short and A. Winter, Nature Physics 1, 754 (2006).
23. E. Lieb, T. Schultz and D. Mattis, Ann. Phys. 16, 407 (1961).
24. P Pfeuty, Ann. Phys. 57, 79 (1970).
25. E. Barouch, B.M. McCoy and M. Dresden, Phys. Rev. A 1, 1075 (1970).
26. E. Barouch and B.M. McCoy, Phys. Rev. A 3, 786 (1971).
27. C. Anteneodo and C. Tsallis, Phys. Rev. Lett. 80, 5313 (1998).
28. P Calabrese and J. Cardy, J. Stat. Mech.: Theor Exp. P06002 (2004).
29. R. Savit, Rev. Mod Phys. 52, 453 (1980).
30. P. Ginsparg and G. Moore, Lectures on 2D String Theory (Cambridge Univ. Press, Cambridge, 1993).
31. B.-Q. Jin and V. E. Korepin, J. Stat. Phys. 116, 79 (2004).
32. A. Robledo, Molecular Physics 103, 3025 (2005).
33. V. Eisler, Ö. Legeza, Z. Racz, J. Stat Mech.: Theor Exp. P11013 (2006).
34. I. Bediaga, E.M.F Curado and J. M. de Miranda, Physica A 286, 156 (2000).
35. T. Barthel, M.-C. Chung and U. Schollwock, Phys. Rev. A 74, 022329 (2006).
36. M. Srednicki, Phys. Rev. Lett. 71, 666 (1993).
37. 1-q-1/1-q (x > 0; QεR) naturally emerges within nonextensive statistical mechanics.