Assisted adiabatic passage revisited

Journal of Physical Chemistry B

Volumn 109, Issue 14, 2005, Pages 6838-6844

  Demirplak, Mustafa ^a   Rice, Stuart A ^a  

^a UNIVERSITY OF CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ADIABATIC POPULATION TRANSFER; COUNTER DIABATIC FIELD (CDF); PHASE FLUCTUATIONS; PULSE PARAMETERS;

APPROXIMATION THEORY; PARAMETER ESTIMATION; PHASE TRANSITIONS; SENSITIVITY ANALYSIS; STOCHASTIC CONTROL SYSTEMS; VECTORS;

THERMODYNAMICS;

EID: 17444368295     PISSN: 15206106     EISSN: None     Source Type: Journal    
DOI: 10.1021/jp040647w     Document Type: Article

References (25)

1. Rice, S. A.; Zhao, M. Optical Control of Molecular Dynamics; Wiley-Interscience: New York, 2000.
2. Bergmann, K.; Theuer, H.; Shore, B. W. Rev. Mod. Phys. 1998, 70, 1003-1025. Vitanov, N. V.; Halfmann, T.; Shore, B. W.; Bergmann, K. Annu. Rev. Phys. Chem. 2001, 52, 763-809.
3. Bergmann, K.; Theuer, H.; Shore, B. W. Rev. Mod. Phys. 1998, 70, 1003-1025. Vitanov, N. V.; Halfmann, T.; Shore, B. W.; Bergmann, K. Annu. Rev. Phys. Chem. 2001, 52, 763-809.
4. maxτ ≥ 10 then the adiabatic approximation is valid. See refs 1 and 2 in the context of optical control and ref 8 for a more general discussion.
5. Unanyan, R. G.; Yatsenko, L. P.; Bergmann, K.; Shore, B. W. Opt. Commun. 1997, 139, 48-54.
6. Demirplak, M.; Rice, S. A. J. Phys. Chem. A 2003, 107, 9937-9945.
7. Chelkowski, S.; Bandrauk, A. D. J. Raman Spectrosc. 1997, 28, 459-466.
8. Chelkowski, S.; Bandrauk, A. D.; Corkum, P. B. Phys. Rev. Lett. 1990, 65, 2355-2358.
9. Mostafazadeh, A. Dynamical Invariants, Adiabatic Approximation and the Geometric Phase; Nova: New York, 2001.
10. Guerin, S.; Thomas, S.; Jauslin, H. R. Phys. Rev. A 2002, 65, 023409.
11. Bloch, F.; Siegert, A. Phys. Rev. 1940, 57, 522-527.
12. Fox, R. F.; Gatland, I. R.; Roy, R.; Vemuri, G. Phys. Rev. A 1988, 38, 5938-5940.
13. van Kampen, N. H. Physica 1974, 74, 215-238. van Kampen, N. G. Physica 1974, 74, 239-247. Terwiel R. H. Physica 1974, 74, 248-265. Kubo, R. J. Math. Phys. 1963, 4, 174-183.
14. van Kampen, N. H. Physica 1974, 74, 215-238. van Kampen, N. G. Physica 1974, 74, 239-247. Terwiel R. H. Physica 1974, 74, 248-265. Kubo, R. J. Math. Phys. 1963, 4, 174-183.
15. van Kampen, N. H. Physica 1974, 74, 215-238. van Kampen, N. G. Physica 1974, 74, 239-247. Terwiel R. H. Physica 1974, 74, 248-265. Kubo, R. J. Math. Phys. 1963, 4, 174-183.
16. van Kampen, N. H. Physica 1974, 74, 215-238. van Kampen, N. G. Physica 1974, 74, 239-247. Terwiel R. H. Physica 1974, 74, 248-265. Kubo, R. J. Math. Phys. 1963, 4, 174-183.
17. Pechukas, P.; Light, J. C. J. Chem. Phys. 1966, 44, 3897-3912.
18. Kubo, R. In Fluctuation, Relaxation, and Resonance in Magnetic Resonance. Scottish Universities Summer School; ter Haar, D., Ed.; Oliver and Boyd: Edinburgh, 1961.
19. Mukamel, S.; Oppenheim, I.; Ross, J. Phys. Rev. A 1978, 17 1988-1998.
20. Yatsenko, L. P.; Romanenko, V. I.; Shore, B. W.; Bergmann, K. Phys. Rev. A 2002, 65, 043409.
21. See also Kuhn, A.; Coulston, G. W.; He, G. Z.; Schiemann, S.; Bergmann, K.; Warren, W. S. J. Chem. Phys. 1991, 96, 4215-4223.
22. Adler, R. J. The Geometry of Random Fields; John Wiley & Sons: New York, 1981.
23. Abel's theorem states that the roots of a generic fourth order polynomial (therefore the eigenvalues of a generic four by four matrix) can be expressed analytically.
24. Press: W. H.; Teukolsky, S. A.; Vetterling, W. T.; Flannery, B. P. Numerical Recepies in C++, The Art of Scientific Computing; Cambridge University Press: Cambridge, 2002.
25. Balakrishnan, N.; Kalyanaraman, C.; Sathyamurthy, N. Phys. Rep. 1997, 280, 79-144.