Interplay of non-Markovian relaxation and ultrafast optical state preparation in molecular systems: the Laguerre polynomial method

Journal of Chemical Physics

Volumn 114, Issue 4, 2001, Pages 1510-1523

  Mancal T ^a   May, V ^a  

^a HUMBOLDT UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DEGREES OF FREEDOM (MECHANICS); EQUATIONS OF MOTION; FOURIER TRANSFORMS; MARKOV PROCESSES; MATRIX ALGEBRA; POLYNOMIALS; RELAXATION PROCESSES; RUNGE KUTTA METHODS; TENSORS; ULTRAFAST PHENOMENA;

LAGUERRE POLYNOMIAL METHOD; QUANTUM MASTER EQUATION; REDUCED DENSITY OPERATOR; TIME DEPENDENT REDFIELD TENSOR; ULTRAFAST OPTICAL STATE PREPARATION;

QUANTUM THEORY;

EID: 0041790942     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1334619     Document Type: Article

References (35)

1. K. Blum, Density Matrix Theory and Applications (Plenum, New York, 1981).
2. R. Kubo, M. Toda, and N. Hashitsume, Statistical Physics II: Nonequilibrium Statistical Mechanics, Springer Series in Solid State Sciences, Vol. 31 (Springer, Berlin, 1995).
3. V. G. Bar'yakhtar and E. G. Petrov, Kinetic Phenomena in Solids (Naukova Dumka, Kiev, 1989).
4. E. Fick and G. Sauermann, The Quantum Statistics of Dynamic Processes (Springer, Berlin, 1990).
5. J. Manz and L. Wöste, Femtosecond Chemistry (VCH, Weinheim, 1995).
6. M. Chergui, Femtochemistry: Ultrafast Chemical and Physical Processes in Molecular Systems (World Scientific, Singapore, 1996).
7. A. H. Zewail, Femtochemistry: Ultrafast Dynamics of the Chemical Bond (World Scientific, Singapore, 1994).
8. U. Weiss, Quantum Dissipative Systems (World Scientific, Singapore, 1993).
9. V. May and O. Kühn, Charge and Energy Transfer Dynamics in Molecular Systems (Wiley-VCH, Weinheim, 1999).
10. N. F. Scherer, D. M. Jonas, and G. R. Fleming, J. Chem. Phys. 99, 153 (1993).
11. E. D. Potter, Q. Liu, and A. H. Zewail, Chem. Phys. Lett. 200, 605 (1992).
12. N. Makri, J. Phys. Chem. A 102, 4414 (1998).
13. A. Raab, I. Burghardt, and H.-D. Meyer, J. Chem. Phys. 111, 8759 (1999).
14. J. P. Lavoine and A. A. Villaeys, Phys. Rev. Lett. 67, 2780 (1991).
15. A. A. Villaeys, J. C. Vallet, and S. H. Lin, Phys. Rev. A 43, 5030 (1991).
16. J. R. Brinati, S. S. Mizrahi, and G. A. Prataviera, Phys. Rev. A 50, 3304 (1994).
17. G. Gangopadhyay and D. S. Ray, Phys. Rev. A 46, 1507 (1992).
18. Th. Renger and V. May, Phys. Rev. Lett. 84, 5228 (2000).
19. M. V. Korolkov and G. K. Paramonov, Phys. Rev. A 55, 589 (1997).
20. Ch. Meier and D. J. Tannor, J. Chem. Phys. 111, 3365 (1999).
21. A. Imamoglu, Phys. Rev. A 50, 3650 (1994).
22. L. Skála and O. Bílek, Phys. Status Solidi B 114, K51 (1982).
23. M. Menšík, J. Phys.: Condens. Matter 7, 7349 (1995).
24. T. Mančal, Czech. J. Phys. 48, 463 (1998).
25. T. Mančal, J. Bok, and L. Skála, J. Phys. A 31, 9429 (1998).
26. S. Nakajima, Prog. Theor. Phys. 20, 948 (1958).
27. R. Zwanzig, J. Chem. Phys. 33, 1338 (1960).
28. S. Chaturvedi and J. Shibata, Z. Phys. B 35, 297 (1979).
29. D. H. Schirrmeister and V. May, Chem. Phys. 220, 1 (1997).
30. D. H. Schirrmeister and V. May, Chem. Phys. Lett. 297, 383 (1998).
31. T.-M. Wu and R. F. Loring, J. Chem. Phys. 99, 8936 (1993).
32. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes 2nd ed. (Cambridge University Press, Cambridge, 1992).
33. M. Abramovitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1972).
34. T. Mančal and V. May, Europ. Phys. Journ. B (2001).
35. A. Suárez, R. Silbey, and I. Oppenheim, J. Chem. Phys. 97, 5101 (1992).