Ionization via chaos assisted tunneling

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 57, Issue 2, 1998, Pages 1458-1474

  Zakrzewski, Jakub ^a,b   Delande, Dominique ^a   Buchleitner, Andreas ^c  

^a LABORATOIRE KASTLER BROSSEL   (France)

^b JAGIELLONIAN UNIVERSITY   (Poland)

^c MAX PLANCK INSTITUT FÜR QUANTENOPTIK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000844313     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.1458     Document Type: Article

References (67)

1. A. M. Ozorio de Almeida, Hamiltonian Systems: Chaos and Quantization (Cambridge University Press, Cambridge, 1988);
2. M. C. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer-Verlag, New York, 1990);
3. L. E. Reichl, The Transition to Chaos: In Conservative Classical Systems: Quantum Manifestations (Springer-Verlag, New York 1992).
4. F. Haake, in Quantum Signatures of Chaos, edited by H. Haken, Springer Series in Synergetics Vol. 54 (Springer-Verlag, Berlin, 1991).
5. Sh.-J. Chang and K.-J. Shi, Phys. Rev. A 34, 7 (1986); PLRAAN
6. R. V. Jensen, M. M. Sanders, M. Saraceno, and B. Sundaram, Phys. Rev. Lett. 63, 2771 (1989)
7. M. Holthaus, Chaos Solitons Fractals 5, 1143 (1995), and references therein
8. E. Heller, Phys. Rev. Lett. 53, 1515 (1984)
9. I. C. Percival, J. Phys. B 6, L229 (1973).
10. V. P. Maslov and M. V. Fedoriuk, Semiclassical Approximation in Quantum Mechanics (Reidel, Dordrecht, 1981).
11. A. J. Lichtenberg and M. A. Liberman, Regular and Chaotic Dynamics (Springer-Verlag, New York, 1992).
12. W. A. Lin and L. E. Ballentine, Phys. Rev. Lett. 65, 2927 (1990); PRLTAO
13. W. A. LinL. E. BallentinePhys. Rev. A 45, 3637 (1992).
14. F. Grossmann, T. Dittrich, P. Jung, and P. Hänggi, Phys. Rev. Lett. 67, 516 (1991); PRLTAO
15. F. GrossmannT. DittrichP. JungP. HänggiZ. Phys. B 84, 315 (1991);
16. F. GrossmannT. DittrichP. JungP. HänggiJ. Stat. Phys. 70, 229 (1993).
17. J. Plata and J. M. Gomez Llorente, J. Phys. A 25, L303 (1992).
18. O. Bohigas, S. Tomsovic, and D. Ullmo, Phys. Rep. 223, 43 (1993)
19. O. Bohigas, D. Boosé, R. Egydio de Carvalho, and V. Marvulle, Nucl. Phys. A 560, 197 (1993)
20. S. Tomsovic and D. Ullmo, Phys. Rev. E 50, 145 (1994).
21. F. Leyvraz and D. Ullmo, J. Phys. A 29, 2529 (1996).
22. P. Gerwinski and P. Šeba, Phys. Rev. E 50, 3615 (1994).
23. A. Buchleitner, thèse de doctorat, Université Pierre et Marie Curie, 1993 (unpublished);
24. D. Delande and A. Buchleitner, Adv. At., Mol., Opt. Phys. 35, 85 (1994); AAMPE9
25. A. Buchleitner and D. Delande, Phys. Rev. Lett. 75, 1487 (1995); PRLTAO
26. A. BuchleitnerD. DelandeChaos Solitons Fractals 5, 1125 (1995).
27. I. Bialynicki-Birula, Maciej Kaliński, and J. H. Eberly, Phys. Rev. Lett. 73, 1777 (1994)
28. J. H. Shirley, Phys. Rev. 138, B979 (1965)
29. D. Delande, J. Zakrzewski, and A. Buchleitner, Europhys. Lett. 32, 107 (1995)
30. F. V. Bunkin and A. Prokhorov, Zh. Eksp. Teor. Fiz. 46, 1090 (1964) [ Sov. Phys. JETP 19, 739 (1964)]
31. T. P. Grozdanov, M. J. Raković, and E. A. Solov’ev, J. Phys. B 25, 4455 (1992)
32. J. Zakrzewski, R. Gȩbarowski, and D. Delande, Phys. Rev. A 54, 691 (1996)
33. J. Zakrzewski, D. Delande, and A. Buchleitner, Phys. Rev. Lett. 75, 4015 (1995)
34. See, e.g., D. Delande, in Chaos and Quantum Physics, 1989 Les Houches Lectures, Session LII, edited by A. Voros, and J. Zinn-Justin, M.-J. Giannoni (North-Holland, Amsterdam, 1991), p. 665.
35. W. P. Reinhardt, Annu. Rev. Phys. Chem. 33, 323 (1982); ARPLAP
36. Y. K. Ho, Phys. Rep. 99, 1 (1983)
37. K. Hornberger and A. Buchleitner (unpublished).
38. Z. Bialynicka-Birula and I. Bialynicki-Birula, Phys. Rev. A 56, 3623 (1997)
39. D. Delande, A. Bommier, and J.-C. Gay, Phys. Rev. Lett. 66, 141 (1991)
40. C. Cohen-Tannoudji, in New Trends in Atomic Physics, Proceedings of the Les Houches Summer School of Theoretical Physics, Session XXXVIII, edited by G. Grynberg and R. Stora (North-Holland, Amsterdam, 1984).
41. G. P. Berman and G. M. Zaslavsky, Phys. Lett. 61A, 295 (1977)
42. L. Sirko and P. M. Koch, Appl. Phys. B: Lasers Opt. 60, 195 (1995)
43. J. Henkel and M. Holthaus, Phys. Rev. A 45, 1978 (1992)
44. G. Casati, I. Guarneri, and D. Shepelyansky, IEEE J. Quantum Electron. 24, 1420 (1988).
45. A. Bucheitner and D. Delande, Phys. Rev. A 55, R1585 (1997)
46. n0 is defined from the microwave frequency through Eq. (3) and is not necessarily an integer. Therefore, we identify the wave packet by its large overlap with the hydrogenic state|n〉 with n the closest integer to n0.
47. S. Washburn and R. Webb, Adv. Phys. 35, 375 (1986); ADPHAH
48. D. Mailly and M. Sanquer, J. Phys. I 2, 357 (1992); JPGCE8
49. P. A. Lee and A. D. Stone, Phys. Rev. Lett. 55, 1622 (1985)
50. O. Bohigas, in Chaos and Quantum Physics (Ref. [25]), p. 87.
51. F. Haake, F. Izrailev, N. Lehmann, D. Saher, and H.-J. Sommers, Z. Phys. B 88, 359 (1992)
52. J. Zakrzewski, A. Buchleitner, and D. Delande, Z. Phys. B 103, 115 (1997)
53. T. A. Brody, Rev. Mod. Phys. 53, 385 (1981), and references therein
54. B. Grémaud, D. Delande, and J. C. Gay, Phys. Rev. Lett. 70, 1615 (1993)
55. K. Dupret, J. Zakrzewski, and D. Delande, Europhys. Lett. 31, 251 (1995)
56. See, e.g., M. F. Shlesinger, G. M. Zaslavsky, and J. Klafter, Nature (London) 263, 31 (1993); NATUAS
57. G. Zumofen and J. Klafter, Phys. Rev. E 47, 851 (1993); PLEEE8
58. J. B. Bouchaud and A. Georges, Phys. Rep. 195, 136 (1990)
59. P. M. Koch and K. A. H. van Leeuwen, Phys. Rep. 255, 289 (1995)
60. M. R. W. Bellermann, P. M. Koch, D. R. Mariani, and D. Richards, Phys. Rev. Lett. 76, 892 (1996)
61. A. Buchleitner and D. Delande, Phys. Rev. Lett. 70, 33 (1993)
62. J. Zakrzewski and D. Delande, J. Phys. B 30, L87 (1997)
63. S. Creagh and N. Whelan, Phys. Rev. Lett. 77, 4975 (1996)
64. P. Leboeuf and A. Mouchet, Phys. Rev. Lett. 73, 1360 (1994)
65. T. Bengtsson, I. Ragnarsson, and S. Åberg, Phys. Lett. B 208, 39 (1988)
66. P. A. Mello, in 1994 Les Houches Lectures, Session LXI, Mesoscopic Quantum Physics, edited by E. Akkermans, G. Montambaux, J. L. Pichard, and J. Zinn-Justin (North-Holland, Amsterdam, 1995), p. 435.
67. P. W. Brouwer, Phys. Rev. B 51, 16 878 (1995). PRBMDO