Abstract
Feedback learning algorithms are widely used to search for optical pulse shapes for quantum control. We propose a simple analysis of the pulse shapes to learn about the degrees of freedom in the effective control Hamiltonian. When applied to stimulated Raman scattering in methanol, the technique yields results consistent with a simple model of two-mode SRS in methanol.
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References
D. Tannor and S. Rice, Adv. Chem. Phys. 70, 441 (1988).
P. Brumer and M Shapiro, Ann. Rev. Phys. Chem. 43, 257 (1992).
D. Tannor, R. Kosloff, and S. Rice, J. Chem. Phys. 85, 5805 (1986).
A. Peirce, M. Dahleh, and H. Rabitz, Phys. Rev. A 37, 4950 (1988).
A. Shnitman, et al., Phys. Rev. Lett. 76, 2886 (1996).
L. Zhu, et al., Science 270, 77 (1995).
R. Judson and H. Rabitz, Phys. Rev. Letters 68, 1500 (1992).
J. Holland, Scientific American 267, 66 (1992).
L. Davis, ed., Handbook of Genetic Algorithms (Van Norstrand Reinhold, New York, 1991).
J. Geremia, E. Weiss, and H. Rabitz, Chemical Physics 267, 209 (2001).
A. Mitra and H. Rabitz, Physical Review A 67, 33407 (2003).
C. Daniel, et al., Science 299, 536 (2003).
J. Geremia and H. Rabitz, Phys. Rev. Lett. 89, 263902 (2002).
I. Jolliffe, Principal Component Analysis (Springer Verlag, 2002), 2nd ed.
J. L. White, B. J. Pearson, and P. H. Bucksbaum, lanl.arXiv.org (2004), quant-ph/0401018.
B. J. Pearson, et al., Phys. Rev. A 63, 063412/1 (2001).
B. J. Pearson and P.H. Bucksbaum, Phys. Rev. Lett. 92, 243003 (2004).
D. Meshulach and Y. Silberberg, Nature 396, 239 (1998).
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White, J.L., Pearson, B.J., Bucksbaum, P.H. (2005). Principal Control Analysis: Gaining Insight from Feedback Learning Algorithms. In: Kobayashi, T., Okada, T., Kobayashi, T., Nelson, K.A., De Silvestri, S. (eds) Ultrafast Phenomena XIV. Springer Series in Chemical Physics, vol 79. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-27213-5_32
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DOI: https://doi.org/10.1007/3-540-27213-5_32
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