Adiabatic population transfer with control fields

Journal of Physical Chemistry A

Volumn 107, Issue 46, 2003, Pages 9937-9945

  Demirplak, Mustafa ^a   Rice, Stuart A ^a  

^a UNIVERSITY OF CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ADIABATIC POPULATION TRANSFER; TIME DEPENDENT BASIS SETS;

EQUATIONS OF MOTION; HAMILTONIANS; MOLECULES; PARTIAL DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES; RANDOM PROCESSES; SET THEORY; VECTORS;

MOLECULAR DYNAMICS;

EID: 0345134768     PISSN: 10895639     EISSN: None     Source Type: Journal    
DOI: 10.1021/jp030708a     Document Type: Article

References (18)

1. Rice, S. A.; Zhao, M. Optical Control of Molecular Dynamics; Wiley-Interscience: New York, 2000
2. Mostafazadeh, A. Dynamical Invariants, Adiabatic Approximation and the Geometric Phase; Nova: New York, 2001.
3. The acronym STIRAP stands for Stimulated Raman Adiabatic Passage. The first experimental application of this technique was published in 1990, by U. Gaubetz, P. Rudecki, S. Schiemann, K. Bergmann: J. Chem. Phys. 1990, 92, 5363-5376.
4. The following reviews and discussions are also useful. Bergmann, K.; Theuer, H.; Shore, B. W. Rev. Mod. Phys. 1998, 70, 1003-1025.
5. Vitanov, N. V.; Halfmann, T.; Shore, B. W.; Bergmann, K. Annu. Rev. Phys. Chem. 2001, 52, 763-809. See also chapter 4 of ref 1.
6. The proof is straightfoward. Assume that U is unitary. Then UU̇† = - U̇U†. Moreover (UU̇†)† = (U̇†)†U† = U̇U† = -(U̇U†); i.e., UU̇† is anti-Hermitian. An anti-Hermitian operator can only have purely imaginary diagonal elements. Because we defined U to be purely real, we are guaranteed that UU̇† has no nonzero diagonal matrix elements.
7. Chelkowski, S.; Bandrauk, A. D.; Corkum, P. B. Phys. Rev. Lett. 1990, 65, 2355-2358.
8. Chelkowski, S.; Bandrauk, A. D.; Corkum, P. B. Chem. Phys. Lett. 1991, 186, 264-269.
9. Zamith, S.; Degert, J.; Stock, S.; de Beauvoir, B.; Blanchet, V.; Bouchene, M. A.; Girard, M. Phys. Rev. Lett. 2001, 87, 033001.
10. Balling, P.; Mass, D. J.; Noordam, L. D. Phys. Rev. A 1994, 50, 4276-4285.
11. Mass, D. J.; Duncan, D. I.; van der Meer, A. F. G.; van der Zande, W. J.; Noordam, L. D. Chem. Phys. Lett. 1997, 270, 45-49.
12. Cohen-Tannoudji, C.; Diu, B.; Laloë, F. Quantum Mechanics; John Wiley & Sons: New York, 1977.
13. Kubo, R. In Fluctuation, Relaxation, and Resonance in Magnetic Resonance. Scottish Universities Summer School; ter Haar, D., Ed.; Oliver and Boyd: 1961.
14. Kuhn, A.; Coulston, G. W.; He, G. Z.; Schiemann, S.; Bergmann, K.; Warren, W. S. J. Chem. Phys. 1992, 96, 4215-4223.
15. Yatsenko, Y. P.; Romanenko, V. I.; Shore, B. W.; Bergmann, K. Phys. Rev. A 2002, 65, 043409.
16. Demirplak, M.; Rice, S. A. J. Chem. Phys. 2002, 116, 8028-8035.
17. Kobrak, M. N.; Rice, S. A. J. Chem. Phys. 1998, 109, 1-10.
18. Kobrak, M. N.; Rice, S. A. Phys. Rev. A 1998, 57, 2885-2894.