Resonance-assisted tunneling

Annals of Physics

Volumn 300, Issue 1, 2002, Pages 88-136

  Brodier, Olivier ^a   Schlagheck, Peter ^a,b   Ullmo, Denis ^a  

^a UNIVERSITÉ PARIS SUD   (France)

^b UNIVERSITY OF REGENSBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037174005     PISSN: 00034916     EISSN: None     Source Type: Journal    
DOI: 10.1006/aphy.2002.6281     Document Type: Article

References (45)

1. M. J. Davis and E. J. Heller, J. Chem. Phys. 75 (1981), 246.
2. J. Barnas and A. Fert, Phys. Rev. Lett. 80 (1998), 1058.
3. S. C. Creagh and N. D. Whelan, Phys. Rev. Lett. 77 (1996), 4975; 82 (1999), 5237.
4. W. A. Lin and L. E. Ballentine, Phys. Rev. Lett. 65 (1990), 2927.
5. O. Bohigas, S. Tomsovic, and D. Ullmo, Phys. Rep. 223 (1993), 43;
6. O. Bohigas, D. Boosé, R. Egydio de Carvalho, and V. Marvulle, Nucl. Phys. A 560 (1993), 197.
7. S. Tomsovic and D. Ullmo, Phys. Rev. E 50 (1994), 145.
8. E. Doron and S. D. Frischat, Phys. Rev. Lett. 75 (1995), 3661;
9. S. D. Frischat and E. Doron, Phys. Rev. E 57 (1998), 1421.
10. F. Leyvraz and D. Ullmo, J. Phys. A 29 (1996), 2529.
11. J. Zakrzewski, D. Delande, and A. Buchleitner, Phys. Rev. E 57 (1998), 1458.
12. W. K. Hensinger et al., Nature 412 (2001), 52.
13. D. A. Steck, W. H. Oskay, and M. G. Raizen, Science 293 (2001), 274; Phys. Rev. Lett. 88 (2002), 120406.
14. A. Mouchet, C. Miniatura, R. Kaiser, B. Grémaud, and D. Delande, Phys. Rev. E 64 (2001), 016221.
15. C. Dembowski et al., Phys. Rev. Lett. 84 (2000), 867.
16. J. U. Nöckel and A. D. Stone, Nature 385 (1997), 45.
17. J. M. Greene and I. C. Percival, Physica D 3 (1981), 530.
18. S. Creagh, in "Tunneling in Complex Systems" (S. Tomsovic, Ed.), p. 35, World Scientific, Singapore, 1998.
19. A. Shudo and K. S. Ikeda, Phys. Rev. Lett. 74 (1995), 682; Phys. Rev. Lett. 76 (1996), 4151;
20. T. Onishi, A. Shudo, K. S. Ikeda, and K. Takahashi, Phys. Rev. E 64 (2001), 025201;
21. A. Shudo, Y. Ishii, and K. S. Ikeda, J. Phys. A 35 (2002), L1-L7.
22. L. Bonci, F. Farusi, P. Grigolini, and R. Roncaglia, Phys. Rev. E 58 (1998), 5689.
23. T. Uzer, D. W. Noid, and R. A. Marcus, J. Chem. Phys. 79 (1983), 4412.
24. A. M. Ozorio de Almeida, J. Phys. Chem. 88 (1984), 6139.
25. D. Farrely and T. Uzer, J. Chem. Phys. 85 (1986), 308.
26. H. P. Breuer and M. Holthaus, Ann. Phys. (N.Y.) 211 (1991), 249.
27. O. Brodier, P. Schlagheck, and D. Ullmo, Phys. Rev. Lett. 87 (2001), 064101.
28. P. Leboeuf, J. Kurchan, M. Feingold, and D. P. Arovas, Phys. Rev. Lett. 65 (1990), 3076.
29. R. Lima and D. Shepelyansky, Phys. Rev. Lett. 67 (1991), 1377.
30. T. Geisel, R. Ketzmerick, and G. Petschel, Phys. Rev. Lett. 67 (1991), 3635.
31. R. Roncaglia, L. Bonci, F. Izrailev, B. J. West, and P. Grigolini, Phys. Rev. Lett. 73 (1994), 802.
32. V. V. Sokolov, Sov. J. Theor. Math. Phys. 67 (1986), 223;
33. V. V. Sokolov, O. V. Zhirov, D. Alonso, and G. Casati, Phys. Rev. Lett. 84 (2000), 3566.
34. A. J. Lichtenberg and M. A. Lieberman, "Regular and Stochastic Motion," Springer-Verlag, New York, 1983.
35. F. Grossmann, T. Dittrich, P. Jung, and P. Hänggi, Phys. Rev. Lett. 67 (1991), 516.
36. J. Moser, Mem. Amer. Math. Soc. 81 (1981).
37. V. P. Maslov and M. V. Fedoriuk, "Semiclassical Approximation in Quantum Mechanics," Reidel, Dordrecht, 1981; original Russian edition, 1965.
38. See, e.g., V. I. Arnold, "Mathematical Methods of Classical Mechanics," Appendices 10 and 11, Springer-Verlag, New York/Berlin, 1978.
39. L. Landau and E. Lifchitz, "Mécanique Quantique," Mir, Moscow, 1966.
40. S. C. Creagh, J. Phys. A 27 (1994), 4969.
41. B. V. Chirikov, Phys. Rep. 52 (1979), 265.
42. M. Wilkinson, Physica D 21 (1986), 341; J. Phys. A 20 (1987), 635.
43. R. E. Langer, Phys. Rev. 51 (1937), 669.
44. We should note that we cannot rigorously show Eq. (46) to hold in the extreme perturbative regime. The matching between the semiclassical and the quantum transition amplitudes is therefore not necessarily expected.
45. E. B. Bogomolny, Physica D 13 (1984), 281.