Relaxation dynamics of multilevel tunneling systems

Journal of Chemical Physics

Volumn 106, Issue 5, 1997, Pages 1749-1756

  Neu, Peter ^a   Heuer, Andreas ^b  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^b MAX PLANCK INSTITUTE FOR POLYMER RESEARCH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039815468     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.473313     Document Type: Article

References (31)

1. S. Nakaoka, T. Terao, F. Imashiro, N. Hrota, and S. Hayashi, J. Chem. Phys. 79, 4694 (1983).
2. J. L. Skinner and H. P. Trommsdorff, J. Chem. Phys. 89, 897 (1988).
3. R. Meyer and R. R. Ernst, J. Chem. Phys. 93, 5518 (1990).
4. A. Suarez and R. J. Silbey, J. Chem. Phys. 95, 4201 (1991).
5. A. Heuer and U. Haeberlen, J. Chem. Phys. 95, 4201 (1991).
6. V. A. Benderskii, V. I. Goldanskii, and D. E. Makarov, Phys. Rep. 233, 195 (1993).
7. D. Tielbürger, R. Merz, R. Ehrenfels, and S. Hunklinger, Phys. Rev. B 45, 2750 (1992).
8. S. Rau, C. Enss, S. Hunklinger, P. Neu, and A. Würger, Phys. Rev. B 52, 7179 (1995).
9. A. J. Leggett, S. Chakravarty. A. T. Dorsey, M. P. A. Fisher, A. Garg, and W. Zwerger, Rev. Mod. Phys. 59, 1 (1987).
10. U. Weiss, Quantum Dissipative Systems, Series in Modern Condensed Matter Physics (World Scientific, Singapore, 1993), Vol. 2.
11. R. J. Silbey and R. A. Harris, J. Chem. Phys. 80, 2615 (1984).
12. R. Beck, W. Götze, and P. Prelovsek, Phys. Rev. A 20, 1140 (1979); W. Zwerger, Z. Phys. B 53, 53 (1983); W. Götze and G. M. Vujicic, Phys. Rev. B 38, 87 (1988); P. Neu and A. Würger, Z. Phys. B 95, 385 (1994).
13. R. Beck, W. Götze, and P. Prelovsek, Phys. Rev. A 20, 1140 (1979); W. Zwerger, Z. Phys. B 53, 53 (1983); W. Götze and G. M. Vujicic, Phys. Rev. B 38, 87 (1988); P. Neu and A. Würger, Z. Phys. B 95, 385 (1994).
14. R. Beck, W. Götze, and P. Prelovsek, Phys. Rev. A 20, 1140 (1979); W. Zwerger, Z. Phys. B 53, 53 (1983); W. Götze and G. M. Vujicic, Phys. Rev. B 38, 87 (1988); P. Neu and A. Würger, Z. Phys. B 95, 385 (1994).
15. R. Beck, W. Götze, and P. Prelovsek, Phys. Rev. A 20, 1140 (1979); W. Zwerger, Z. Phys. B 53, 53 (1983); W. Götze and G. M. Vujicic, Phys. Rev. B 38, 87 (1988); P. Neu and A. Würger, Z. Phys. B 95, 385 (1994).
16. P. E. Parris and R. J. Silbey, J. Chem. Phys. 83, 5619 (1985); D. R. Reichman and R. J. Silbey, J. Phys. Chem. 99, 2777 (1995).
17. P. E. Parris and R. J. Silbey, J. Chem. Phys. 83, 5619 (1985); D. R. Reichman and R. J. Silbey, J. Phys. Chem. 99, 2777 (1995).
18. W. A. Phillips, Rep. Prog. Phys. 50, 1657 (1987).
19. A. Heuer and R. J. Silbey, Phys. Rev. Lett. 70, 3911 (1993).
20. A. Heuer and R. J. Silbey, Phys. Rev. B 53, 609 (1996).
21. H. R. Schober, C. Oligschleger, and B. B. Laird, J. Non-Crystall. Solids 156-158, 965 (1993).
22. j for the diagonal elements can be neglected since this shift is almost the same for all energy levels.
23. 0 because the coupled doublets are not necessarily adjacent.
24. E. Pick and G. Sauermann, The Quantum Statistics of Dynamical Processes, Springer Series in Solid-State Sciences 86 (Springer, Berlin/ Heidelberg/New York, 1990).
25. J. A. Sussmann, Ann. Phys. 6, 135 (1971).
26. A. Würger, J. Phys.: Condens. Matt. 1, 6901 (1989).
27. A. Heuer, Z. Phys. B 88, 39 (1992).
28. BT. This situation has been termed energy-diffusion-controlled limit. Since this seminal work, quantum corrections to the classical escape rate have been elaborated showing explicitly the crossover between the quantum and the classical regime (see for instance Refs. 6, 10, 26, and 27, and references therein).
29. -a√2μ(V(x)-E)dx). See A. Das, Quantum Field Theory, A Path Integral Approach, Lecture Notes in Physics Vol. 52 (World Scientific, Singapore, 1993), Chap. 7.4.
30. P. Hänggi, P. Talkner, and M. Borkovec, Rev. Mod. Phys. 62, 251 (1990).
31. P. Hänggi and P. Fleming, Activated Barrier Crossing: Applications in Physics, Chemistry, and Biology (World Scientific, Singapore, 1993).