Driven tunneling dynamics: Bloch-Redfield theory versus path-integral approach

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 61, Issue 5, 2000, Pages

  Hartmann, Ludwig ^a   Goychuk, Igor ^a   Grifoni, Milena ^b,c   Hänggi, Peter ^a  

^a UNIVERSITY OF AUGSBURG   (Germany)

^b UNIVERSITY OF KARLSRUHE   (Germany)

^c INFM   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

SPIN DYNAMICS; TEMPERATURE;

BLOCH-REDFIELD THEORY; COHERENT OSCILLATIONS; CONTROL FIELDS; HIGH FREQUENCY HF; LOW TEMPERATURES; PATH-INTEGRAL; QUANTUM COHERENCE; TUNNELING DYNAMICS;

QUANTUM THEORY;

EID: 0000752471     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.R4687     Document Type: Article

References (23)

1. A. J. Leggett , Rev. Mod. Phys. 59, 1 (1987).
2. U. Weiss, Quantum Dissipative Systems, 2nd ed. (World Scientific, Singapore, 1999).
3. M. Grifoni and P. Hänggi, Phys. Rep. 304, 219 (1998).
4. A. Steane, Rep. Prog. Phys. 61 (6), 117 (1998), and references
5. J. Preskill, Phys. Today 52, 24 (1999).
6. M. Grifoni, M. Sassetti, and U. Weiss, Phys. Rev. E 53, R2033 (1996).
7. M. Grifoni, M. Winterstetter, and U. Weiss, Phys. Rev. E 56, 334 (1997).
8. S. Nakajima, Prog. Theor. Phys. 20, 948 (1958)
9. R. Zwanzig, J. Chem. Phys. 33, 1338 (1960);for a review, see J. T. Hynes and J. M. Deutch, Physical Chemistry, An Advanced Treatise, (Academic Press, New York, 1975), Vol. XIB, Chap. 11, pp. 729–836.
10. Yu. Dakhnovskii, Phys. Rev. B 49, 4649 (1994)
11. I. A. Goychuk, E. G. Petrov, and V. May, Phys. Rev. E 52, 2392 (1995)
12. I. A. GoychukE. G. PetrovV. MayChem. Phys. Lett. 353, 428 (1996)
13. M. Morillo and R. I. Cukier, Phys. Rev. B 54, 13 962 (1996).
14. This equivalence holds only for the diagonal elements of the reduced density matrix considered in the tunneling basis.
15. P. N. Argyres and P. L. Kelley, Phys. Rev. 134, A98 (1964).
16. (a) I. A. Goychuk, Phys. Rev. E 51, 6267 (1995)
17. (b) E. G. Petrov and V. I. Teslenko, Theor. Math. Phys. 84, 986 (1990).
18. F. Bloch, Phys. Rev. 105, 1206 (1957)
19. A. G. Redfield, IBM J. Res. Dev. 1, 19 (1957).
20. C. Aslangul, N. Pottier, and D. Saint-James, J. Phys. (Paris) 47, 757 (1986).
21. Small field-induced corrections to the dephasing rates (Formula presented) have been disregarded.
22. P. Neu and J. Rau, Phys. Rev. E 55, 2195 (1997).
23. J. T. Stockburger, Phys. Rev. E 59, R4709 (1999).