Strong-field approximation for ionization of a diatomic molecule by a strong laser field

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 74, Issue 6, 2006, Pages

  Milosevic D B ^a,b  

^a UNIVERSITY OF SARAJEVO   (Bosnia and Herzegovina)

^b MAX BORN INSTITUT   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ELECTRONS; GROUND STATE; LASER APPLICATIONS;

IONIZATION RATES; NUCLEAR COORDINATES; STRONG-FIELD APPROXIMATION (SFA); VELOCITY GAGES;

IONIZATION OF GASES;

EID: 33845383020     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.74.063404     Document Type: Article

References (74)

1. P. Agostini, F. Fabre, G. Mainfray, G. Petite, and N. K. Rahman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.42.1127 42, 1127 (1979).
2. W. Becker, F. Grasbon, R. Kopold, D. B. Milošević, G. G. Paulus, and H. Walther, Adv. At., Mol., Opt. Phys. AAMPE9 1049-250X 48, 35 (2002).
3. D. B. Milošević and F. Ehlotzky, Adv. At., Mol., Opt. Phys. AAMPE9 1049-250X 49, 373 (2003).
4. A. Becker and F. H. M. Faisal, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/38/3/R01 38, R1 (2005).
5. L. V. Keldysh, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 47, 1945 (1964)
6. L. V. Keldysh, [Sov. Phys. JETP SPHJAR 0038-5646 20, 1307 (1965)];
7. F. H. M. Faisal, J. Phys. B JPAMA4 0022-3700 10.1088/0022-3700/6/4/011 6, L89 (1973);
8. H. R. Reiss, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.22.1786 22, 1786 (1980).
9. H. R. Reiss, Prog. Quantum Electron. PQUEAH 0079-6727 10.1016/0079-6727(92)90008-J 16, 1 (1992).
10. A. D. Bandrauk, Molecules in Laser Fields (Dekker, New York, 1994).
11. J. H. Posthumus, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/67/ 5/R01 67, 623 (2004).
12. H. Stapelfeldt and M. Seideman, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.75.543 75, 543 (2005).
13. A. Talebpour, C.-Y. Chien, and S. L. Chin, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/29/18/002 29, L677 (1996);
14. A. Talebpour, S. Larochelle, and S. L. Chin, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/31/2/003 31, L49 (1998).
15. C. Guo, M. Li, J. P. Nibarger, and G. N. Gibson, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.58.R4271 58, R4271 (1998).
16. M. J. DeWitt, E. Wells, and R. R. Jones, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.153001 87, 153001 (2001);
17. E. Wells, M. J. DeWitt, and R. R. Jones, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.013409 66, 013409 (2002).
18. F. Grasbon, G. G. Paulus, S. L. Chin, H. Walther, J. Muth-Böhm, A. Becker, and F. H. M. Faisal, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63. 041402 63, 041402 (R) (2001).
19. I. V. Litvinyuk, K. F. Lee, P. W. Dooley, D. M. Rayner, D. M. Villeneuve, and P. B. Corkum, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90. 233003 90, 233003 (2003).
20. A. S. Alnaser, S. Voss, X.-M. Tong, C. M. Maharjan, P. Ranitovic, B. Ulrich, T. Osipov, B. Shan, Z. Chang, and C. L. Cocke, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.113003 93, 113003 (2004);
21. S. Voss, A. S. Alnaser, X.-M. Tong, C. Maharjan, P. Ranitovic, B. Ulrich, B. Shan, Z. Chang, C. D. Lin, and C. L. Cocke, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/37/21/002 37, 4239 (2004);
22. A. S. Alnaser, C. M. Maharjan, X. M. Tong, B. Ulrich, P. Ranitovic, B. Shan, Z. Chang, C. D. Lin, C. L. Cocke, and I. V. Litvinyuk, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.031403 71, 031403 (R) (2005);
23. X. M. Tong, Z. X. Zhao, A. S. Alnaser, S. Voss, C. L. Cocke, and C. D. Lin, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/38/4/002 38, 333 (2005).
24. E. Eremina, X. Liu, H. Rottke, W. Sandner, M. G. Schätzel, A. Dreischuh, G. G. Paulus, H. Walther, R. Moshammer, and J. Ullrich, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.173001 92, 173001 (2004).
25. J. Ittatani, J. Levesque, D. Zeidler, H. Niikura, H. Pépin, J. C. Kieffer, P. B. Corkum, and D. M. Villeneuve, Nature (London) NATUAS 0028-0836 10.1038/nature03183 432, 867 (2004).
26. X. X. Zhou, X. M. Tong, Z. X. Zhao, and C. D. Lin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.061801 71, 061801 (R) (2005).
27. H. Z. Lu and A. D. Bandrauk, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1383033 115, 1670 (2001).
28. B. Pons, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.040702 67, 040702 (R) (2003).
29. Y. V. Vanne and A. Saenz, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/37/20/005 37, 4101 (2004).
30. X. Chu and S. I. Chu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70. 061402 70, 061402 (R) (2004).
31. D. Dundas and J. M. Rost, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.013421 71, 013421 (2005).
32. G. L. Kamta and A. D. Bandrauk, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.053407 71, 053407 (2005).
33. G. L. Kamta and A. D. Bandrauk, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.053407 74, 033415 (2006).
34. For a treatment of ionization of an H2+ molecular ion by a δ pulse see T. Zuo, A. D. Bandrauk, and P. B. Corkum, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/0009-2614(96)00786-5 259, 313 (1996).
35. The effect of moving nuclei in molecular ATI using the exact non-Born-Oppenheimer simulation of a one-dimensional model of H2+ and H3 2+ was presented in A. D. Bandrauk, S. Chelkowski, and I. Kawata, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.013407 67, 013407 (2003).
36. M. V. Ammosov, N. B. Delone, and V. P. Kraǐnov, Sov. Phys. JETP SPHJAR 0038-5646 64, 1191 (1986)
37. M. V. Ammosov, N. B. Delone, and V. P. Kraǐnov, [Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 91, 2008 (1986)].
38. V. S. Popov, Phys. Usp. PHUSEY 1063-7869 10.1070/PU2004v047n09ABEH001812 47, 855 (2004)
39. V. S. Popov, [Usp. Fiz. Nauk UFNAAG 0042-1294 174, 921 (2004)].
40. X. M. Tong, Z. X. Zhao, and C. D. Lin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.033402 66, 033402 (2002);
41. Z. X. Zhao, X. M. Tong, and C. D. Lin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.043404 67, 043404 (2003).
42. K. Mishima, K. Nagaya, M. Hayashi, and S. H. Lin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.063414 70, 063414 (2004);
43. K. Mishima, M. Hayashi, and S. H. Lin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.053411 71, 053411 (2005).
44. J. Muth-Böhm, A. Becker, and F. H. M. Faisal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.2280 85, 2280 (2000).
45. T. K. Kjeldsen and L. B. Madsen, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/37/10/003 37, 2033 (2004);
46. T. K. Kjeldsen and L. B. Madsen, J. Phys. B JPAPEH 0953-4075 39, 3707 (2006) (erratum).
47. A. Jarón-Becker, A. Becker, and F. H. M. Faisal, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/36/21/L01 36, L375 (2003);
48. A. Jarón-Becker, A. Becker, and F. H. M. Faisal, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.023410 69, 023410 (2004);
49. A. Jarón-Becker, A. Becker, and F. H. M. Faisal, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.069907 72, 069907 (E) (2005).
50. T. K. Kjeldsen and L. B. Madsen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.073004 95, 073004 (2005).
51. T. K. Kjeldsen, C. Z. Bisgaard, L. B. Madsen, and H. Stapelfeldt, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.063407 68, 063407 (2003);
52. T. K. Kjeldsen, C. Z. Bisgaard, L. B. Madsen, and H. Stapelfeldt, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.013418 71, 013418 (2005).
53. T. K. Kjeldsen and L. B. Madsen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.023411 71, 023411 (2005).
54. V. I. Usachenko and Shih-I Chu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.063410 71, 063410 (2005).
55. T. K. Kjeldsen and L. B. Madsen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.047401 73, 047401 (2006);
56. T. K. Kjeldsen and L. B. Madsen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.059903 73, 059903 (E) (2006).
57. V. I. Usachenko, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.047402 73, 047402 (2006).
58. D. Bauer, D. B. Milošević, and W. Becker, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.023415 72, 023415 (2005).
59. M. V. Frolov, N. L. Manakov, E. A. Pronin, and A. F. Starace, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.053003 91, 053003 (2003).
60. M. Klaiber, K. Z. Hatsagortsyan, and C. H. Keitel, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.053411 73, 053411 (2006).
61. O. Smirnova, M. Spanner, and M. Ivanov, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/39/13/S05 39, S307 (2006).
62. See, for example, A. Messiah, Quantum Mechanics (North-Holland, Amsterdam, 1965), Sec. IX, 13
63. and A. G. Sitenko, Scattering Theory (Springer-Verlag, Berlin, 1991).
64. P. W. Atkins and R. S. Friedman, Molecular Quantum Mechanics, 3rd ed. (Oxford University Press, Oxford, 2001).
65. I. N. Levine, Quantum Chemistry, 5th ed. (Prentice-Hall, Upper Saddle River, New Jersey, 2000).
66. For molecular SFA, the dressing of the initial ground state was suggested much earlier, based on different arguments, by W. Becker (private communication).
67. V. D. Rodríguez, P. Macri, and R. Gayet, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/38/15/015 38, 2775 (2005).
68. A. C. Wahl, P. E. Cade, and C. C. J. Roothaan, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1726326 41, 2578 (1964).
69. A. C. Wahl, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1726327 41, 2600 (1964).
70. P. E. Cade, K. D. Sales, and A. C. Wahl, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1726972 44, 1973 (1966).
71. P. E. Cade and A. C. Wahl, At. Data Nucl. Data Tables ADNDAT 0092-640X 10.1016/0092-640X(74)90006-0 13, 339 (1974).
72. A. A. Radzig and B. M. Smirnov, Reference Data on Atoms, Molecules and Ions (Springer, Berlin, 1985).
73. This is not so obvious since, in the case of a positively charged homonuclear molecular ion H2+, we have eA = eB =1 and λ=0, so that the relative charge eR =0, and our modified molecular SFA simplifies. Our undressed modified molecular SFA reduces to the length-gauge standard molecular SFA.
74. D. B. Milošević, G. G. Paulus, D. Bauer, and W. Becker, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/39/14/R01 39, R203 (2006).