Exact two-electron wave packet dynamics of H2 in an intense laser field: Formation of localized ionic states H+H-

Journal of Chemical Physics

Volumn 113, Issue 20, 2000, Pages 8953-8960

  Harumiya, Kenji ^a   Kawata, Isao ^a   Kono, Hirohiko ^a   Fujimura, Yuichi ^a  

^a TOHOKU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ELECTRON TRANSITIONS; ELECTRON TUNNELING; IONIZATION OF GASES;

COULOMB POTENTIALS; WAVE PACKET DYNAMICS;

MOLECULAR DYNAMICS;

EID: 0034317185     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1319348     Document Type: Article

References (65)

1. M. Gavrila, Atoms in Intense Fields (Academic, New York, 1992).
2. J. H. Eberly, J. Javanainen, and K. Rzazewski, Phys. Rep. 204, 331 (1991); M. Lewenstein, K. C. Kulander, K. J. Schafer, and P. H. Bucksbaum, Phys. Rev. A 51, 1495 (1995).
3. J. H. Eberly, J. Javanainen, and K. Rzazewski, Phys. Rep. 204, 331 (1991); M. Lewenstein, K. C. Kulander, K. J. Schafer, and P. H. Bucksbaum, Phys. Rev. A 51, 1495 (1995).
4. K. Burnett, V. C. Reed, J. Cooper, and P. L. Knight, Phys. Rev. A 45, 3347 (1992); J. L. Krause, K. J. Schafer, and K. C. Kulander, ibid. 45, 4998 (1992); T. Zuo, A. D. Bandrauk, M. Ivanov, and P. B. Corkum, ibid. 51, 3991 (1995); A. Rundquist, G. Durfee, III, Z. Chang, C. Herne, S. Backus, M. M. Murnane, and H. C. Kapteyn, Science 280, 1412 (1998); M. Kakehata, H. Takada, K. Miyazaki, H. Kono, I. Kawata, and Y. Fujimura, Appl. Phys. B 70, 219 (2000).
5. K. Burnett, V. C. Reed, J. Cooper, and P. L. Knight, Phys. Rev. A 45, 3347 (1992); J. L. Krause, K. J. Schafer, and K. C. Kulander, ibid. 45, 4998 (1992); T. Zuo, A. D. Bandrauk, M. Ivanov, and P. B. Corkum, ibid. 51, 3991 (1995); A. Rundquist, G. Durfee, III, Z. Chang, C. Herne, S. Backus, M. M. Murnane, and H. C. Kapteyn, Science 280, 1412 (1998); M. Kakehata, H. Takada, K. Miyazaki, H. Kono, I. Kawata, and Y. Fujimura, Appl. Phys. B 70, 219 (2000).
6. K. Burnett, V. C. Reed, J. Cooper, and P. L. Knight, Phys. Rev. A 45, 3347 (1992); J. L. Krause, K. J. Schafer, and K. C. Kulander, ibid. 45, 4998 (1992); T. Zuo, A. D. Bandrauk, M. Ivanov, and P. B. Corkum, ibid. 51, 3991 (1995); A. Rundquist, G. Durfee, III, Z. Chang, C. Herne, S. Backus, M. M. Murnane, and H. C. Kapteyn, Science 280, 1412 (1998); M. Kakehata, H. Takada, K. Miyazaki, H. Kono, I. Kawata, and Y. Fujimura, Appl. Phys. B 70, 219 (2000).
7. K. Burnett, V. C. Reed, J. Cooper, and P. L. Knight, Phys. Rev. A 45, 3347 (1992); J. L. Krause, K. J. Schafer, and K. C. Kulander, ibid. 45, 4998 (1992); T. Zuo, A. D. Bandrauk, M. Ivanov, and P. B. Corkum, ibid. 51, 3991 (1995); A. Rundquist, G. Durfee, III, Z. Chang, C. Herne, S. Backus, M. M. Murnane, and H. C. Kapteyn, Science 280, 1412 (1998); M. Kakehata, H. Takada, K. Miyazaki, H. Kono, I. Kawata, and Y. Fujimura, Appl. Phys. B 70, 219 (2000).
8. K. Burnett, V. C. Reed, J. Cooper, and P. L. Knight, Phys. Rev. A 45, 3347 (1992); J. L. Krause, K. J. Schafer, and K. C. Kulander, ibid. 45, 4998 (1992); T. Zuo, A. D. Bandrauk, M. Ivanov, and P. B. Corkum, ibid. 51, 3991 (1995); A. Rundquist, G. Durfee, III, Z. Chang, C. Herne, S. Backus, M. M. Murnane, and H. C. Kapteyn, Science 280, 1412 (1998); M. Kakehata, H. Takada, K. Miyazaki, H. Kono, I. Kawata, and Y. Fujimura, Appl. Phys. B 70, 219 (2000).
9. L. V. Keldysh, Sov. Phys. JETP 20, 1307 (1965); F. H. M. Faisal, J. Phys. B 6, L89 (1973); H. R. Reiss, Phys. Rev. A 22, 1786 (1980); S. Augst, D. D. Meyerhofer, D. Strickland, and S. L. Chin, J. Opt. Soc. Am. B 8, 858 (1991); M. V. Ammosov, N. B. Delone, and V. P. Krainov, Sov. Phys. JETP 64, 1191 (1986).
10. L. V. Keldysh, Sov. Phys. JETP 20, 1307 (1965); F. H. M. Faisal, J. Phys. B 6, L89 (1973); H. R. Reiss, Phys. Rev. A 22, 1786 (1980); S. Augst, D. D. Meyerhofer, D. Strickland, and S. L. Chin, J. Opt. Soc. Am. B 8, 858 (1991); M. V. Ammosov, N. B. Delone, and V. P. Krainov, Sov. Phys. JETP 64, 1191 (1986).
11. L. V. Keldysh, Sov. Phys. JETP 20, 1307 (1965); F. H. M. Faisal, J. Phys. B 6, L89 (1973); H. R. Reiss, Phys. Rev. A 22, 1786 (1980); S. Augst, D. D. Meyerhofer, D. Strickland, and S. L. Chin, J. Opt. Soc. Am. B 8, 858 (1991); M. V. Ammosov, N. B. Delone, and V. P. Krainov, Sov. Phys. JETP 64, 1191 (1986).
12. L. V. Keldysh, Sov. Phys. JETP 20, 1307 (1965); F. H. M. Faisal, J. Phys. B 6, L89 (1973); H. R. Reiss, Phys. Rev. A 22, 1786 (1980); S. Augst, D. D. Meyerhofer, D. Strickland, and S. L. Chin, J. Opt. Soc. Am. B 8, 858 (1991); M. V. Ammosov, N. B. Delone, and V. P. Krainov, Sov. Phys. JETP 64, 1191 (1986).
13. L. V. Keldysh, Sov. Phys. JETP 20, 1307 (1965); F. H. M. Faisal, J. Phys. B 6, L89 (1973); H. R. Reiss, Phys. Rev. A 22, 1786 (1980); S. Augst, D. D. Meyerhofer, D. Strickland, and S. L. Chin, J. Opt. Soc. Am. B 8, 858 (1991); M. V. Ammosov, N. B. Delone, and V. P. Krainov, Sov. Phys. JETP 64, 1191 (1986).
14. P. B. Corkum, Phys. Rev. Lett. 71, 1994 (1993).
15. T. Zuo and A. D. Bandrauk, Phys. Rev. A 48, 3837 (1993); S. Chelkowski and A. D. Bandrauk, J. Phys. B 28, L723 (1995).
16. T. Zuo and A. D. Bandrauk, Phys. Rev. A 48, 3837 (1993); S. Chelkowski and A. D. Bandrauk, J. Phys. B 28, L723 (1995).
17. T. Seidemann, M. Y. Ivanov, and P. B. Corkum, Phys. Rev. Lett. 75, 2819 (1995).
18. A. D. Bandrauk, Comments At. Mol. Phys. D 1, 97 (1999); A. D. Bandrauk and J. Ruel, Phys. Rev. A 59, 2153 (1999).
19. A. D. Bandrauk, Comments At. Mol. Phys. D 1, 97 (1999); A. D. Bandrauk and J. Ruel, Phys. Rev. A 59, 2153 (1999).
20. H. Yu, T. Zuo, and A. D. Bandrauk, Phys. Rev. A 54, 3290 (1996).
21. J. H. Posthumus, A. J. Giles, M. R. Thompson, and K. Codling, J. Phys. B 29, 5811 (1996); E. Constant, H. Stapeltelt, and P. B. Corkum, Phys. Rev. Lett. 76, 4140 (1996); L. J. Frasinski, K. Codling, and P. Hatherly, ibid. 58, 2424 (1989); K. Codling and L. J. Frasinski, J. Phys. 626, 783 (1993); C. Cornaggia, J. Lavancier, D. Normand, J. Morellec, and H. X. Liu, Phys. Rev. A 42, 5464 (1990); M. Schmidt, D. Normand, and C. Cornaggia, ibid. 50, 5037 (1994); G. N. Gibson, M. Li, C. Guo, and J. P. Nibarger, ibid. 58, 4723 (1998).
22. J. H. Posthumus, A. J. Giles, M. R. Thompson, and K. Codling, J. Phys. B 29, 5811 (1996); E. Constant, H. Stapeltelt, and P. B. Corkum, Phys. Rev. Lett. 76, 4140 (1996); L. J. Frasinski, K. Codling, and P. Hatherly, ibid. 58, 2424 (1989); K. Codling and L. J. Frasinski, J. Phys. 626, 783 (1993); C. Cornaggia, J. Lavancier, D. Normand, J. Morellec, and H. X. Liu, Phys. Rev. A 42, 5464 (1990); M. Schmidt, D. Normand, and C. Cornaggia, ibid. 50, 5037 (1994); G. N. Gibson, M. Li, C. Guo, and J. P. Nibarger, ibid. 58, 4723 (1998).
23. J. H. Posthumus, A. J. Giles, M. R. Thompson, and K. Codling, J. Phys. B 29, 5811 (1996); E. Constant, H. Stapeltelt, and P. B. Corkum, Phys. Rev. Lett. 76, 4140 (1996); L. J. Frasinski, K. Codling, and P. Hatherly, ibid. 58, 2424 (1989); K. Codling and L. J. Frasinski, J. Phys. 626, 783 (1993); C. Cornaggia, J. Lavancier, D. Normand, J. Morellec, and H. X. Liu, Phys. Rev. A 42, 5464 (1990); M. Schmidt, D. Normand, and C. Cornaggia, ibid. 50, 5037 (1994); G. N. Gibson, M. Li, C. Guo, and J. P. Nibarger, ibid. 58, 4723 (1998).
24. J. H. Posthumus, A. J. Giles, M. R. Thompson, and K. Codling, J. Phys. B 29, 5811 (1996); E. Constant, H. Stapeltelt, and P. B. Corkum, Phys. Rev. Lett. 76, 4140 (1996); L. J. Frasinski, K. Codling, and P. Hatherly, ibid. 58, 2424 (1989); K. Codling and L. J. Frasinski, J. Phys. 626, 783 (1993); C. Cornaggia, J. Lavancier, D. Normand, J. Morellec, and H. X. Liu, Phys. Rev. A 42, 5464 (1990); M. Schmidt, D. Normand, and C. Cornaggia, ibid. 50, 5037 (1994); G. N. Gibson, M. Li, C. Guo, and J. P. Nibarger, ibid. 58, 4723 (1998).
25. J. H. Posthumus, A. J. Giles, M. R. Thompson, and K. Codling, J. Phys. B 29, 5811 (1996); E. Constant, H. Stapeltelt, and P. B. Corkum, Phys. Rev. Lett. 76, 4140 (1996); L. J. Frasinski, K. Codling, and P. Hatherly, ibid. 58, 2424 (1989); K. Codling and L. J. Frasinski, J. Phys. 626, 783 (1993); C. Cornaggia, J. Lavancier, D. Normand, J. Morellec, and H. X. Liu, Phys. Rev. A 42, 5464 (1990); M. Schmidt, D. Normand, and C. Cornaggia, ibid. 50, 5037 (1994); G. N. Gibson, M. Li, C. Guo, and J. P. Nibarger, ibid. 58, 4723 (1998).
26. J. H. Posthumus, A. J. Giles, M. R. Thompson, and K. Codling, J. Phys. B 29, 5811 (1996); E. Constant, H. Stapeltelt, and P. B. Corkum, Phys. Rev. Lett. 76, 4140 (1996); L. J. Frasinski, K. Codling, and P. Hatherly, ibid. 58, 2424 (1989); K. Codling and L. J. Frasinski, J. Phys. 626, 783 (1993); C. Cornaggia, J. Lavancier, D. Normand, J. Morellec, and H. X. Liu, Phys. Rev. A 42, 5464 (1990); M. Schmidt, D. Normand, and C. Cornaggia, ibid. 50, 5037 (1994); G. N. Gibson, M. Li, C. Guo, and J. P. Nibarger, ibid. 58, 4723 (1998).
27. J. H. Posthumus, A. J. Giles, M. R. Thompson, and K. Codling, J. Phys. B 29, 5811 (1996); E. Constant, H. Stapeltelt, and P. B. Corkum, Phys. Rev. Lett. 76, 4140 (1996); L. J. Frasinski, K. Codling, and P. Hatherly, ibid. 58, 2424 (1989); K. Codling and L. J. Frasinski, J. Phys. 626, 783 (1993); C. Cornaggia, J. Lavancier, D. Normand, J. Morellec, and H. X. Liu, Phys. Rev. A 42, 5464 (1990); M. Schmidt, D. Normand, and C. Cornaggia, ibid. 50, 5037 (1994); G. N. Gibson, M. Li, C. Guo, and J. P. Nibarger, ibid. 58, 4723 (1998).
28. A. Hishikawa, A. Iwamae, and K. Yamanouchi, Phys. Rev. Lett. 83, 1127 (1999); A. Iwamae, A. Hishikawa, and K. Yamanouchi, J. Phys. B 33, 223 (2000).
29. A. Hishikawa, A. Iwamae, and K. Yamanouchi, Phys. Rev. Lett. 83, 1127 (1999); A. Iwamae, A. Hishikawa, and K. Yamanouchi, J. Phys. B 33, 223 (2000).
30. I. Kawata, H. Kono, Y. Fujimura, and A. D. Bandrauk, Phys. Rev. A 62, 031401 (R) (2000).
31. Kawata, H. Kono, and Y. Fujimura, J. Chem. Phys. 110, 11152 (1999); I. Kawata, H. Kono, and Y. Fujimura, Chem. Phys. Lett. 289, 546 (1998).
32. Kawata, H. Kono, and Y. Fujimura, J. Chem. Phys. 110, 11152 (1999); I. Kawata, H. Kono, and Y. Fujimura, Chem. Phys. Lett. 289, 546 (1998).
33. R. S. Mulliken, J. Chem. Phys. 7, 20 (1939).
34. H. Kono and I. Kawata, in Quantum Control of Chemical Recation Dynamics, edited by R. J. Gordon and Y. Fujimura (World Scientific, Singapore), in press.
35. A. Zavriyev, P. H. Bucksbaum, J. Squier, and F. Saline, Phys. Rev. Lett. 70, 1077 (1993).
36. B. Sheeny and L. F. DiMauro, Annu. Rev. Phys. Chem. 47, 463 (1996).
37. T. D. G. Walsh, F. A. Ilkov, S. L. Chin, F. Châteauneuf, T.-T. Nguyen-Dang, S. Chelkowski, A. D. Bandrauk, and O. Atabek, Phys. Rev. A 58, 3922 (1998); T.-T. Nguyen-Dang, F. Châteauneuf, S. Manoli, O. Atabek, and A. Keller, ibid. 56, 2142 (1997).
38. T. D. G. Walsh, F. A. Ilkov, S. L. Chin, F. Châteauneuf, T.-T. Nguyen-Dang, S. Chelkowski, A. D. Bandrauk, and O. Atabek, Phys. Rev. A 58, 3922 (1998); T.-T. Nguyen-Dang, F. Châteauneuf, S. Manoli, O. Atabek, and A. Keller, ibid. 56, 2142 (1997).
39. A. D. Bandrauk, Molecules in Intense Laser Fields (Dekker, New York, 1994), Chaps. 1-3.
40. P. Dietrich, M. Yu. Ivanov, F. A. Ilkov, and P. B. Corkum, Phys. Rev. Lett. 77, 4150 (1996).
41. L. Wolniewicz, J. Chem. Phys. 51, 5002 (1969).
42. For example, the mechanism of simultaneous two-electron ionization in atoms has not been solved yet. See W. C. Liu, J. H. Eberly, S. L. Haan, and R. Grobe, Phys. Rev. Lett. 83, 520 (1999); Th. Weber, M. Weckenbrock, A. Staudte et al., ibid. 84, 443 (2000); R. Moshammer, B. Feuerstein, W. Schmitt et al., Phys. Rev. Lett. 84, 447 (2000).
43. For example, the mechanism of simultaneous two-electron ionization in atoms has not been solved yet. See W. C. Liu, J. H. Eberly, S. L. Haan, and R. Grobe, Phys. Rev. Lett. 83, 520 (1999); Th. Weber, M. Weckenbrock, A. Staudte et al., ibid. 84, 443 (2000); R. Moshammer, B. Feuerstein, W. Schmitt et al., Phys. Rev. Lett. 84, 447 (2000).
44. For example, the mechanism of simultaneous two-electron ionization in atoms has not been solved yet. See W. C. Liu, J. H. Eberly, S. L. Haan, and R. Grobe, Phys. Rev. Lett. 83, 520 (1999); Th. Weber, M. Weckenbrock, A. Staudte et al., ibid. 84, 443 (2000); R. Moshammer, B. Feuerstein, W. Schmitt et al., Phys. Rev. Lett. 84, 447 (2000).
45. R. Kosloff, J. Phys. Chem. 92, 2087 (1988); N. Balakrishnan, C. Kalyanaraman, and N. Sathyamurthy, Phys. Rep. 280, 79 (1997).
46. R. Kosloff, J. Phys. Chem. 92, 2087 (1988); N. Balakrishnan, C. Kalyanaraman, and N. Sathyamurthy, Phys. Rep. 280, 79 (1997).
47. M. D. Feit, J. A. Fleck, Jr., and A. Steiger, J. Comput. Phys. 47, 412 (1982); M. D. Feit and J. A. Fleck, Jr., J. Chem. Phys. 78, 301 (1983).
48. M. D. Feit, J. A. Fleck, Jr., and A. Steiger, J. Comput. Phys. 47, 412 (1982); M. D. Feit and J. A. Fleck, Jr., J. Chem. Phys. 78, 301 (1983).
49. H. Kono and S. H. Lin, J. Chem. Phys. 84, 1071 (1986).
50. H. Kono, A. Kita, Y. Ohtsuki, and Y. Fujimura, J. Comput. Phys. 130, 148 (1997).
51. I. Kawata and H. Kono, J. Chem. Phys. 111, 9498 (1999).
52. B. Friedrich and D. Herschbach, Phys. Rev. Lett. 74, 4623 (1995); H. Sakai, C. P. Safvan, J. J. Larsen, K. M. Hilligsøe, K. Hald, and H. Stapelfeldt, J. Chem. Phys. 110, 10235 (1999); J. J. Larsen, H. Sakai, C. P. Safvan, Ida Wendt-Larsen, and H. Stapelfeldt, ibid. 111, 7774 (1999).
53. B. Friedrich and D. Herschbach, Phys. Rev. Lett. 74, 4623 (1995); H. Sakai, C. P. Safvan, J. J. Larsen, K. M. Hilligsøe, K. Hald, and H. Stapelfeldt, J. Chem. Phys. 110, 10235 (1999); J. J. Larsen, H. Sakai, C. P. Safvan, Ida Wendt-Larsen, and H. Stapelfeldt, ibid. 111, 7774 (1999).
54. B. Friedrich and D. Herschbach, Phys. Rev. Lett. 74, 4623 (1995); H. Sakai, C. P. Safvan, J. J. Larsen, K. M. Hilligsøe, K. Hald, and H. Stapelfeldt, J. Chem. Phys. 110, 10235 (1999); J. J. Larsen, H. Sakai, C. P. Safvan, Ida Wendt-Larsen, and H. Stapelfeldt, ibid. 111, 7774 (1999).
55. M. Schmidt, S. Dobosz, P. Meynadier, P. D'Oliveira, D. Normand, E. Charron, and A. Suzor-Weiner, Phys. Rev. A 60, 4706 (1999).
56. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in Fortran, 2nd ed. (Cambridge, New York, 1992). Chap. 19.
57. A. R. Mitchell, Computational Methods in Partial differential Equations (Wiley, New York, 1969).
58. N. N. Yanenko, The Method of Fractional Steps (Springer, New York, 1971).
59. R. Varga, Matrix Iterative Analysis (Prentice-Hall, Englewood Cliffs, 1962), p. 273.
60. D. M. Yang and R. T. Gregory, A Survey of Numerical Mathematics, Vol. II (Addison-Wesley, Reading, 1973), p. 1097.
61. A. Askar and A. S. Cakmak, J. Chem. Phys. 68, 2794 (1978).
62. H. Kono and Y. Fujimura, Chem. Phys. Lett. 184, 497 (1991).
63. W. Kolos and Wolniewicz, J. Chem. Phys. 43, 2429 (1965).
64. Y. Kayanuma, Phys. Rev. B 47, 9940 (1993); Phys. Rev. A 50, 843 (1994).
65. Y. Kayanuma, Phys. Rev. B 47, 9940 (1993); Phys. Rev. A 50, 843 (1994).