Non-Markovian evolution of the density operator in the presence of strong laser fields

Journal of Chemical Physics

Volumn 111, Issue 8, 1999, Pages 3365-3376

  Meier, Christoph ^a,b   Tannor, David J ^a  

^a WEIZMANN INSTITUTE OF SCIENCE   (Israel)

^b UNIVERSITÉ DE TOULOUSE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001222431     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.479669     Document Type: Article

References (63)

1. Femtosecond Chemistry, edited by J. Manz and L. Wöste (VCH, Weinheim, 1995).
2. D. J. Tannor and S. A. Rice, J. Chem. Phys. 83, 5013 (1986);
3. S. A. Rice, J. Phys. Chem. 90, 3036 (1986);
4. D. J. Tannor, R. Kosloff, and S. Rice, J. Chem. Phys. 85, 5805 (1986).
5. P. Brumer and M. Shapiro, Chem. Phys. Lett. 126, 541 (1986);
6. Chem. Phys. 139, 221 (1989).
7. W. S. Warren, H. Rabitz, and M. Dahleh, Science 259, 1581 (1993);
8. A. P. Pierce, M. A. Dahleh, and H. Rabitz, Phys. Rev. A 37, 4950 (1988);
9. R. Kosloff, S. A. Rice, P. Gaspard, S. Tsersigni, and D. J. Tannor, Chem. Phys. 139, 201 (1989);
10. D. J. Tannor and Y. Jin, in Mode Selective Chemistry, edited by B. Pullman, J. Jortner, and R. Levine (Kluwer, Dordrecht, 1991).
11. A. Assion, T. Baumert, M. Bergt, T. Brixner, B. Kiefer, V. Seyfried, M. Strehle, and G. Gerber, Science 282, 919 (1998).
12. C. J. Bardeen, J. Che, K. R. Wilson, V. V. Yakolev, V. A. Apkarian, C. C. Martens, R. Zadoyan, B. Kohler, and M. Messina, J. Chem. Phys. 106, 8486 (1997).
13. N. Doslic, O. Kühn, and J. Manz, Ber. Bunsenges. Phys. Chem. 102, 292 (1998).
14. M. V. Korolkov, J. Manz, and G. K. Paramonov, J. Chem. Phys. 105, 10874 (1997).
15. M. V. Korolkov, J. Manz, and G. K. Paramonov, Adv. Chem. Phys. 101, 213 (1997).
16. O. Kühn, Eur. Phys. J. D 6, 49 (1999).
17. M. Grifoni, L. Hartmann, and P. Hänggi, Chem. Phys. 217, 167 (1997).
18. U. Winterstetter and U. Weiss, Chem. Phys. 217, 155 (1997).
19. P. Jung, Phys. Rep. 234, 175 (1993).
20. N. Marki, J. Chem. Phys. 106, 2286 (1997).
21. R. P. Feynman and F. L. Vernon, Ann. Phys. (N.Y.) 24, 118 (1963).
22. N. Makri, J. Math. Phys. 36, 2430 (1995).
23. N. Makri and D. E. Makarov, Chem. Phys. Lett. 221, 482 (1994).
24. N. Makri and W. H. Miller, J. Chem. Phys. 91, 1451 (1989).
25. Y. Tanimura and P. G. Wolynes, Phys. Rev. A 43, 4131 (1991).
26. Y. Tanimura and P. G. Wolynes, J. Chem. Phys. 96, 8485 (1992).
27. K. Okumura and Y. Tanimuria, J. Chem. Phys. 105, 7294 (1996).
28. R. Kosloff, M. A. Ratner, and W. B. Davis, J. Chem. Phys. 106, 7036 (1997).
29. A. Bartana, R. Kosloff, and D. J. Tannor, J. Chem. Phys. 99, 196 (1993);
30. A. Bartana, R. Kosloff, and D. J. Tannor, J. Chem. Phys. 106, 1435 (1997).
31. U. Banin, R. Kosloff, and S. Ruhman, Isr. J. Chem. 33, 141 (1993);
32. G. Ashkenazi, R. Kosloff, S. Ruhman, and H. Tal-Ezer, J. Chem. Phys. 103, 10005 (1995);
33. G. Ashkenazi, U. Banin, A. Bartana, R. Kosloff, and S. Ruhman, Adv. Chem. Phys. 100, 229 (1997).
34. E. Geva, R. Kosloff, and J. L. Skinner, J. Chem. Phys. 102, 8541 (1995);
35. E. Geva, and R. Kosloff, J. Chem. Phys. ibid. 104, 7681 (1996).
36. M. Morillo and R. I. Cukier, Phys. Rev. B 54, 13962 (1997).
37. I. A. Goychuk, E. G. Petrov, and V. May, J. Chem. Phys. 106, 4522 (1997).
38. I. A. Goychuk, E. G. Petrov, and V. May, Phys. Rev. E 56, 1421 (1997).
39. R. Zwanzig, in Lectures in Theoretical Physics, Boulder, Colorado Vol. 3 (Interscience, New York, 1961), Vol. 3.
40. F. Haake, Springer Tracts Mod. Phys. 66, 98 (1973).
41. N. G. van Kampen, Stochastic Processes in Physics and Chemistry (North Holland, Amsterdam, 1981).
42. R. Kubo, M. Toda, and N. Hashitsume, Statistical Physics II, Springer Series in Solid State Physics, Heidelberg, 1985.
43. J. A. Fleck, J. R. Morris, and M. D. Feit, Appl. Phys. 10, 129 (1976).
44. M. D. Feit, J. A. Fleck, and A. Steiger, J. Comput. Phys. 47, 412 (1982).
45. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes (Cambridge University Press, Cambridge, 1989).
46. A. J. Leggett, S. Chakravarty, A. T. Dorsey, M. P. A. Fisher, A. Garg, and W. Zwerger, Rev. Mod. Phys. 59, 1 (1987).
47. H. Grabert, P. Schramm, and G. Ingold, Phys. Rep. 168, 115 (1988).
48. N. Makri and D. E. Makarov, J. Chem. Phys. 102, 4600 (1995).
49. N. Makri and D. E. Makarov, J. Chem. Phys. 102, 4611 (1995).
50. U. Weiss, Quantum Dissipative Systems (World Scientific, Singapore, 1993).
51. K. Blum, Density Matrix Theory and Applications (Plenum, New York, 1995).
52. B. B. Laird, J. Budimir, and J. Skinner, J. Chem. Phys. 94, 4391 (1991).
53. W. T. Pollard and R. A. Friesner, J. Chem. Phys. 100, 5054 (1994).
54. G. Lindblad, Rep. Math. Phys. 10, 393 (1976);
55. D. Kohen, C. Marston, and D. J. Tannor, J. Chem. Phys. 107, 5236 (1997).
56. M. Shugard, J. Tully, and A. Nizan, J. Chem. Phys. 69, 336 (1978).
57. R. Baer and R. Kosloff, J. Chem. Phys 106, 8862 (1997).
58. R. Kosloff, in Numerical Grid Methods and Their Application to Schrodinger's Equation, edited by C. Cerjan, NATO ASI Ser. C, Vol. 412, pages 175-194 (Kluwer Academic, The Netherlands, 1993), Vol. 412, pp. 175-194.
59. W. K. Lai, K.-A. Suominen, B. M. Garraway, and S. Stenholm, Phys. Rev. A 47, 4779 (1993).
60. J. Cao, J. Chem. Phys. 107, 3204 (1997).
61. A. Suarez, R. Sibey, and I. Oppenheim, J. Chem. Phys. 97, 5101 (1992).
62. N. Makri, J. Chem. Phys. 109, 2994 (1998).
63. J. S. Bader and B. J. Berne, J. Chem. Phys. 100, 8359 (1994).