Stochastic unraveling of Redfield master equations and its application to electron transfer problems

Journal of Chemical Physics

Volumn 119, Issue 13, 2003, Pages 6635-6646

  Kondov, Ivan ^a,c   Kleinekathöfer, Ulrich ^b   Schreiber, Michael ^a  

^a CHEMNITZ UNIVERSITY OF TECHNOLOGY   (Germany)

^b JACOBS UNIVERSITY BREMEN   (Germany)

^c TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; DAMPING; ELECTRON TRANSITIONS; HARMONIC ANALYSIS; OSCILLATORS (MECHANICAL); RANDOM PROCESSES; WAVE EQUATIONS;

REDFIELD MASTER EQUATIONS;

QUANTUM THEORY;

EID: 0142052924     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1605095     Document Type: Article

References (63)

1. U. Weiss, Quantum Dissipative Systems, 2nd ed. (World Scientific, Singapore, 1999).
2. V. May and O. Kühn, Charge and Energy Transfer Dynamics in Molecular Systems (Wiley-VCH, Berlin, 2000).
3. F. E. van Dorsselaer and G. Nienhuis, J. Opt. B: Quantum Semiclassical Opt. 2, L5 (2000).
4. J. Dalibard, Y. Castin, and K. Mølmer, Phys. Rev. Lett. 68, 580 (1992).
5. K. Mølmer, Y. Castin, and J. Dalibard, J. Opt. Soc. Am. B 10, 524 (1993).
6. C. W. Gardiner, A. S. Parkins, and P. Zoller, Phys. Rev. A 46, 4363 (1992).
7. H. Carmichael, An Open System Approach to Quantum Optics (Springer, Berlin, 1993).
8. J. Steinbach, B. M. Garraway, and P. L. Knight, Phys. Rev. A 51, 3302 (1995).
9. N. Gisin and I. C. Percival, J. Phys. A 25, 5677 (1992).
10. M. B. Plenio and P. L. Knight, Rev. Mod. Phys. 70, 101 (1998).
11. I. Kondov, U. Kleinekathöfer, and M. Schreiber, J. Chem. Phys. 114, 1497 (2001).
12. G. Lindblad, Commun. Math. Phys. 40, 147 (1975).
13. P. Pechukas, Phys. Rev. Lett. 73, 1060 (1994).
14. P. Gaspard and M. Nagaoka, J. Chem. Phys. 111, 5668 (1999).
15. S. L. Adler, Phys. Lett. A 265, 58 (2000).
16. J. Wilkie, Phys. Rev. E 62, 8808 (2000).
17. B. M. Garraway and P. L. Knight, Phys. Rev. A 49, 1266 (1994).
18. B. Wolfseder and W. Domcke, Chem. Phys. Lett. 235, 370 (1995).
19. W. T. Strunz, L. Diósi, N. Gisin, and T. Yu, Phys. Rev. Lett. 83, 4909 (1999).
20. F. Haake and R. Reibold, Phys. Rev. A 32, 2462 (1985).
21. W. T. Strunz, Chem. Phys. 268, 237 (2001).
22. W. T. Pollard, A. K. Felts, and R. A. Friesner, Adv. Chem. Phys. 93, 77 (1996).
23. V. Čápek, Physica A 203, 520 (1994).
24. C. Meier and D. J. Tannor, J. Chem. Phys. 111, 3365 (1999).
25. H.-P. Breuer, B. Kappler, and F. Petruccione, Phys. Rev. A 59, 1633 (1999).
26. P. Gaspard and M. Nagaoka, J. Chem. Phys. 111, 5676 (1999).
27. J. T. Stockburger and H. Grabert, Phys. Rev. Lett. 88, 170407 (2002).
28. H.-P. Breuer, B. Kappler, and F. Petruccione, Phys. Rev. A 56, 2334 (1997).
29. U. Kleinekathöfer, I. Kondov, and M. Schreiber, Phys. Rev. E 66, 037701 (2002).
30. I. Goychuk, L. Hartmann, and P. Hänggi, Chem. Phys. 268, 151 (2001).
31. N. Makri, E. Sim, D. Makarov, and M. Topaler, Proc. Natl. Acad. Sci. U.S.A. 93, 3926 (1996).
32. E. Sim and N. Makri, J. Phys. Chem. B 101, 5446 (1997).
33. M. Thoss, H. Wang, and W. H. Miller, J. Chem. Phys. 115, 2991 (2001).
34. M. Thoss and H. Wang, Chem. Phys. Lett. 358, 298 (2002).
35. H. Wang and M. Thoss, Isr. J. Chem. 42, 167 (2003).
36. V. May and M. Schreiber, Phys, Rev. A 45, 2868 (1992).
37. J. M. Jean, R. A. Friesner, and G. R. Fleming, J. Chem. Phys. 96, 5827 (1992).
38. A. K. Felts, W. T. Pollard, and R. A. Friesner, J. Phys. Chem. 99, 2929 (1995).
39. C. Fuchs and M. Schreiber, J. Chem. Phys. 105, 1023 (1996).
40. B. Wolfseder and W. Domcke, Chem. Phys. Lett. 259, 113 (1996).
41. P. F. Barbara, T. J. Meyer, and M. A. Ratner, J. Phys. Chem. 100, 13148 (1996).
42. M. Bixon and J. Jortner, Adv. Chem. Phys. 106&107, 35 (1999).
43. V. Čápek, Physica A 203, 495 (1994).
44. V. Čápek and J. Peřina, Jr., Physica A 215, 209 (1995).
45. T. Mančal and V. May, Chem. Phys. 268, 201 (2001).
46. D. Egorova, A. Kühl, and W. Domcke, Chem. Phys. 268, 105 (2001).
47. U. Kleinekathöfer, I. Kondov, and M. Schreiber, Chem. Phys. 268, 121 (2001).
48. M. Schreiber, I. Kondov, and U. Kleinekathöfer, J. Lumin. 94&95, 471 (2001).
49. D. Egorova, M. Thoss, W. Domcke, and H. Wang, J. Chem. Phys. 119, 2761 (2003).
50. W. T. Pollard and R. A. Friesner, J. Chem. Phys. 100, 5054 (1994).
51. C. W. Gardiner, Handbook of Stochastic Methods (Springer, Berlin, 1985).
52. T. Felbinger and M. Wilkens, J. Mod. Opt. 46, 1401 (1999).
53. B. Wolfseder, dissertation, Technische Universität München, Theoretische Chemie, TU München, 85747 Garching, 1997.
54. D. Kohen, C. C. Marston, and D. J. Tannor, J. Chem. Phys. 107, 5236 (1997).
55. O. Linden and V. May, Eur. Phys. J. D 12, 473 (2000).
56. R. Dum, A. S. Parkins, P. Zoller, and C. W. Gardiner, Phys. Rev. A 46, 4382 (1992).
57. M. Hillery, R. F. O'Connell, M. O. Scully, and E. P. Wigner, Phys. Rep. 106, 121 (1984).
58. B. Wolfseder, L. Seidner, W. Domcke, G. Stock, M. Seel, S. Engleitner, and W. Zinth, Chem. Phys. 233, 323 (1998).
59. S. A. Kovalenko, N. Eilers-König, T. A. Senyushkina, and N. P. Ernsting, J. Phys. Chem. A 105, 4834 (2001).
60. M. C. M. O'Brien, J. Phys. C 5, 2045 (1972).
61. T. Takagahara, E. Hanamura, and R. Kubo, J. Phys. Soc. Jpn. 44, 728 (1978).
62. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in FORTRAN 77 (Cambridge University Press, Cambridge, 1992).
63. M. P. I. Forum, Technical Report No. CS-94-230, Computer Science Deptartment, University of Tennessee, Knoxville, TN, 1994, available online at http://www-unix.mcs.anl.gov/mpi/index.html