Perturbative and nonperturbative processes in adiabatic population transfer

European Physical Journal D

Volumn 3, Issue 1, 1998, Pages 73-86

  Drese, K ^a   Holthaus, M ^a  

^a PHILIPPS UNIVERSITY MARBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ADIABATIC POPULATION TRANSFER; ADIABATICITY; NONADIABATIC TRANSITION PROBABILITIES; NONPERTURBATIVE; POWER; QUANTUM SYSTEM; SIMPLE++; STIMULATED RAMAN ADIABATIC PASSAGE; TRANSITION AMPLITUDES;

QUANTUM OPTICS;

EID: 22044439039     PISSN: 14346060     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100530050150     Document Type: Article

References (30)

1. M. Born, V.A. Fock, Z. Phys. 51, 165 (1928).
2. A. Messiah, Quantum Mechanics, vol. 2 (North-Holland, Amsterdam, 1962).
3. B.H. Bransden, C.J. Joachain, Introduction to Quantum Mechanics (Longman Scientific & Technical, Harlow, 1989).
4. C.E. Carroll, F.T. Hioe, Phys. Rev. A 42, 1522 (1990).
5. B.W. Shore, K. Bergmann, J. Oreg, Z. Phys. D 23, 33 (1992).
6. S. Schiemann, A. Kuhn, S. Steuerwald, K. Bergmann, Phys. Rev. Lett. 71, 3637 (1993).
7. A. Kuhn, S. Steuerwald, K. Bergmann, Eur. Phys. J. D 1, 57 (1998).
8. A.M. Dykhne, J. Exptl. Theoret. Phys. (U.S.S.R.) 41, 1324 (1961)
9. [Sov. Phys. JETP 14, 941 (1962)].
10. J.P. Davis, P. Pechukas, J. Chem. Phys. 64, 3129 (1976).
11. J.-T. Hwang, P. Pechukas, J. Chem. Phys. 67, 4640 (1977).
12. T.A. Laine, S. Stenholm, Phys. Rev. A 53, 2501 (1996).
13. N.V. Vitanov, S. Stenholm, Optics Commun. 127, 215 (1996).
14. M.V. Berry, Proc. R. Soc. Lond. A 414, 31 (1987).
15. M.V. Berry, Proc. R. Soc. Lond. A 429, 61 (1990).
16. B. Simon, Phys. Rev. Lett. 51, 2167 (1983).
17. Actually, "transition-free" is an almost literal translation of the greek root of "adiabatic".
18. B.M. Garraway, K.-A. Suominen, Rep. Prog. Phys. 58, 365 (1995).
19. M.V. Berry, R. Lim, J. Phys. A 26, 4737 (1993).
20. K. Drese, M. Holthaus (unpublished).
21. Handbook of Mathematical Functions, edited by M. Abramowitz, I.A. Stegun (Dover, New York, 1972); see equation (6.1.44).
22. D.S.F. Crothers, Adv. Phys. 20, 405 (1971).
23. R. Lim, M.V. Berry, J. Phys. A 24, 3255 (1991).
24. M. Elk, Phys. Rev. A 52, 4017 (1995).
25. N.V. Vitanov, S. Stenholm, Optics Commun. 135, 394 (1997).
26. R.B. Dingle, Asymptotic Expansions: Their Derivation and Interpretation (Academic Press, New York and London, 1973).
27. c. See, e.g., Appendix B in reference [14].
28. A. Joye, J. Phys. A 26, 6517 (1993).
29. See equation (33) in reference [12]. The parameter α used by Vitanov and Stenholm corresponds to 1/(εσ) in our notation; their β is our b/σ. Their parameter σ has the same meaning as ours.
30. N.V. Vitanov, S. Stenholm, Phys. Rev. A 55, 648 (1997).