Gradient algorithm applied to laboratory quantum control

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 79, Issue 5, 2009, Pages

  Roslund, Jonathan ^a   Rabitz, Herschel ^a  

^a PRINCETON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

GENETIC ALGORITHMS; NONLINEAR OPTICS; QUANTUM THEORY; TRAJECTORIES;

ASCENT TRAJECTORY; CONTROL VARIABLE; GRADIENT ALGORITHM; LANDSCAPE ANALYSIS; QUANTUM PHENOMENA; STANDARD GENETIC ALGORITHM; SYSTEMATIC EXPLORATION; TRAJECTORY-BASED;

CONTROL THEORY;

EID: 66049098190     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.79.053417     Document Type: Article

References (29)

1. S. Backus, C. G. Durfee III, M. M. Murnane, and H. C. Kapteyn, Rev. Sci. Instrum. 69, 1207 (1998). 10.1063/1.1148795
2. A. Weiner, Rev. Sci. Instrum. 71, 1929 (2000). 10.1063/1.1150614
3. T. Bäck, Evolutionary Algorithms in Theory and Practice (Oxford University Press, New York, 1996).
4. R. S. Judson and H. Rabitz, Phys. Rev. Lett. 68, 1500 (1992). 10.1103/PhysRevLett.68.1500
5. J. Kunde, B. Baumann, S. Arlt, F. Morier-Genoud, U. Siegner, and U. Keller, Appl. Phys. Lett. 77, 924 (2000). 10.1063/1.1288603
6. P. Nuernberger, G. Vogt, T. Brixner, and G. Gerber, Phys. Chem. Chem. Phys. 9, 2470 (2007). 10.1039/b618760a
7. A. Assion, T. Baumert, M. Bergt, T. Brixner, B. Kiefer, V. Seyfried, M. Strehle, and G. Gerber, Science 282, 919 (1998). 10.1126/science.282.5390.919
8. H. Rabitz, M. Hsieh, and C. Rosenthal, Science 303, 1998 (2004). 10.1126/science.1093649
9. H. Rabitz, M. Hsieh, and C. Rosenthal, J. Chem. Phys. 124, 204107 (2006). 10.1063/1.2198837
10. T.-S. Ho and H. Rabitz, J. Photochem. Photobiol., A 180, 226 (2006). 10.1016/j.jphotochem.2006.03.038
11. H. Rabitz, T. S. Ho, M. Hsieh, R. Kosut, and M. Demiralp, Phys. Rev. A 74, 012721 (2006). 10.1103/PhysRevA.74.012721
12. A. Rothman, T.-S. Ho, and H. Rabitz, Phys. Rev. A 73, 053401 (2006). 10.1103/PhysRevA.73.053401
13. J. Roslund, M. Roth, and H. Rabitz, Phys. Rev. A 74, 043414 (2006). 10.1103/PhysRevA.74.043414
14. A. Rothman, T.-S. Ho, and H. Rabitz, Phys. Rev. A 72, 023416 (2005). 10.1103/PhysRevA.72.023416
15. V. Beltrani, P. Ghosh, and H. Rabitz J. Chem. Phys. 130, 164112 (2009).
16. R. Chakrabarti, R. Wu, and H. Rabitz, Phys. Rev. A 77, 063425 (2008). 10.1103/PhysRevA.77.063425
17. T.-S. Ho (private communication).
18. f (σ>) = σ 3 [(1+2 σ 2) (1.5+ 1 σ2 + 1 2+4 σ 2)] 3/2; lim σ 0 f (σ) =1.
19. D. Meshulach and Y. Silberberg, Phys. Rev. A 60, 1287 (1999). 10.1103/PhysRevA.60.1287
20. N. Dudovich, B. Dayan, S. M. Gallagher Faeder, and Y. Silberberg, Phys. Rev. Lett. 86, 47 (2001). 10.1103/PhysRevLett.86.47
21. W. H. Press, S. Teukolsky, W. Vetterling, and B. Flannery, Numerical Recipes (Cambridge University Press, New York, 1992).
22. J. Roslund and H. Rabitz, Phys. Rev. A (to be published).
23. The spectral phase gradient for filtered SHG Sf at twice the carrier frequency, i.e., Ωfg = ωfg â 2 ω0 =0 is shown to be Î Sf Î Ï• (Ω) =â 4A (Ω) A (â Ω) Rfg  sin [Ï• (Ω) +Ï• (â Ω) â αfg], where A (Ω) is the fundamental spectral amplitude and Rfg and αfg are the spectral amplitude and phase of the doubled field, respectively.
24. M. Roth, J. Roslund, and H. Rabitz, Rev. Sci. Instrum. 77, 083107 (2006). 10.1063/1.2336193
25. N. Hansen and A. Ostermeier, in Proceedings of the 1996 IEEE International Conference on Evolutionary Computation (IEEE, Piscataway, 1996), pp. 312â€"317.
26. M. Wollenhaupt, A. Präkelt, C. Sarpe-Tudoran, D. Liese, and T. Baumert, J. Mod. Opt. 52, 2187 (2005). 10.1080/09500340500275884
27. T. Bayer, M. Wollenhaupt, and T. Baumert, J. Phys. B 41, 074007 (2008). 10.1088/0953-4075/41/7/074007
28. A. F. Bartelt, M. Roth, M. Mehendale, and H. Rabitz, Phys. Rev. A 71, 063806 (2005). 10.1103/PhysRevA.71.063806
29. L. Bonacina, J. Extermann, A. Rondi, V. Boutou, and J. P. Wolf, Phys. Rev. A 76, 023408 (2007). 10.1103/PhysRevA.76.023408