Perturbative results on localization for a driven two-Level system

Physical Review B - Condensed Matter and Materials Physics

Volumn 68, Issue 16, 2003, Pages

  Frasca, Marco ^a  

^a NONE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ENERGY; MATHEMATICAL ANALYSIS; MATHEMATICAL COMPUTING; QUANTUM MECHANICS; QUANTUM THEORY;

EID: 1642437293     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.68.165315     Document Type: Article

References (40)

1. The Physics of Quantum Information, edited by D. Bouwmeester, A. Ekert, and A. Zeilinger (Springer, Berlin, 2000).
2. C.H. Bennett and D.P. DiVincenzo, Nature (London) 404, 247 (2000).
3. R. Blatt, Nature (London) 412, 773 (2001).
4. D. Kielpinski, C. Monroe, and D. Wineland, Nature (London) 417, 709 (2002).
5. T.H. Oosterkamp, T. Fujisawa, W.G. van der Wiel, K. Ishibashi, R.V. Hijman, S. Tarucha, and L.P. Kouwenhoven, Nature (London) 395, 873 (1998).
6. Y. Makhlin, G. Schön, and A. Shnirman, Nature (London) 398, 305 (1999).
7. Y. Nakamura, Yu.A. Pashkin, and J.S. Tsai, Nature (London) 398, 786 (1999).
8. B.E. Cole, J.B. Williams, B.T. King, M.S. Sherwin, and C.R. Stanley, Nature (London) 410, 60 (2001).
9. Yu.A. Pashkin, T. Yamamoto, O. Astafiev, Y. Nakamura, D.V. Averin, and J.S. Tsai, Nature (London) 421, 823 (2003).
10. J.C.A. Barata and W.F. Wreszinski, Phys. Rev. Lett. 84, 2112 (2000).
11. J.C.A. Barata, Ann. Henri Poincare, Sect. A 2, 963 (2001).
12. J.C.A. Barata and D.A. Cortez, J. Math. Phys. 44, 1937 (2003).
13. V. Delgado and J.M. Gomez Llorente, J. Phys. B 33, 5403 (2000).
14. A. Santana, J.M. Gomez Llorente, and V. Delgado, J. Phys. B 34, 2371 (2001).
15. K. Fujii, quant-ph/0301145 (unpublished).
16. F. Grossmann, T. Dittrich, P. Jung, and P. Hänggi, Phys. Rev. Lett. 67, 516 (1991).
17. M. Grifoni and P. Hänggi, Phys. Rep. 304, 229 (1998).
18. F. Grossmann and P. Hänggi, Europhys. Lett. 18, 571 (1992).
19. C.E. Creffield and G. Platero, Phys. Rev. B 66, 235303 (2002).
20. J.M. Villas-Bôas, Wei Zhang, S.E. Ulloa, P.H. Rivera, and N. Studart, Phys. Rev. B 66, 085325 (2002).
21. C.E. Creffield, Phys. Rev. B 67, 165301 (2003).
22. J. Shao and P. Hänggi, Phys. Rev. A 56, R4397 (1997).
23. L.Y. Chen, N. Goldenfeld, and Y. Oono, Phys. Rev. Lett. 73, 1311 (1994).
24. L.Y. Chen, N. Goldenfeld, and Y. Oono, Phys. Rev. E 54, 376 (1996).
25. T. Kunihiro, Prog. Theor. Phys. 94, 503 (1995).
26. T. Kunihiro, Prog. Theor. Phys 95, 835 (E) (1996).
27. T. Kunihiro, Phys. Rev. D 57, R2035 (1998).
28. S.-I. Ei, K. Fujii, and T. Kunihiro, Ann. Phys. (N.Y.) 280, 236 (2000).
29. M. Frasca, Phys. Rev. A 58, 771 (1998).
30. M. Frasca, Phys. Rev. A 45, 43 (1992).
31. M. Frasca, Phys. Rev. A 47, 2374 (1993).
32. M. Frasca, Phys. Rev. A 56, 1548 (1997).
33. M. Frasca, Phys. Rev. A 58, 3439 (1998).
34. M. Frasca, Phys. Rev. A 60, 573 (1999).
35. J. Kevorkian and J. D. Cole, Perturbation Methods in Applied Mathematics (Springer, New York, 1981).
36. E.C.G. Stückelberg and A. Petermann, Helv. Phys. Acta 26, 499 (1953).
37. M. Gell-Mann and F.E. Low, Phys. Rev. 95, 1300 (1954).
38. M. Frasca, J. Opt. B: Quantum Semiclassical Opt. 3, S15 (2001).
39. X.-G. Zhao, Phys. Rev. B 49, 16-753 (1994).
40. J. von Neumann and E. Wigner, Phys. Z. 30, 467 (1929).