Optimal control of charge transfer

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 6325, Issue , 2006, Pages

  Werschnik, Jan ^a   Gross, E K U ^a  

^a FREIE UNIVERSITÄT BERLIN   (Germany)

Author keywords

Pulse shaping; Quantum control; Quantum optimal control theory; Quantum transport

Indexed keywords

CHARGE TRANSFER; ELECTRIC EXCITATION; LASER PULSES; QUANTUM THEORY;

PULSE SHAPING; QUANTUM CONTROL; QUANTUM OPTIMAL CONTROL THEORY; QUANTUM TRANSPORT;

OPTIMAL CONTROL SYSTEMS;

EID: 33751076053     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.680065     Document Type: Conference Paper

References (47)

1. A. M. Weiner, D. E. Leaird, J. S. Patel, and J. R. Wullert, "Programmable shaping of femtosecond pulses by use of a 128-element liquid-crystal phase modulator," IEEE J. Quant. Electron. 28(4), pp. 908-920, 1992.
2. A. Assion, T. Baumert, M. Bergt, T. Brixner, B. Kiefer, V. Seyfried, M. Strehle, and G. Gerber, "Control of chemical reactions by feedback-optimized phase-shaped femtosecond laser pulses," Science 282, p. 919, 1998.
3. R. J. Levis, G. M. Menkir, and H. Rabitz, "Selecitve bond dissociation and rearrangement with optimally tailored, strong field laser pulses," Science 292, p. 709, 2001.
4. R. S. Judson and H. Rabitz, "Teaching lasers to control molecules," Phys. Rev. Lett. 68, p. 1500, 1992.
5. C. J. Bardeen, V. V. Yakovlev, K. R. Wilson, S. D. Carpenter, P. M. Weber, and W. S. Warren, "Feedback quantum control of molecular electronic population transfer." Chem. Phys. Lett. 280, p. 151, 1997.
6. R. Bartels, S. Backus, E. Zeek, L. Misoguti, G. Vovin, I. P. Christov, M. M. Murmane, and H. C. Kapteyn, "Shaped-pulse optimization of coherent emission of high-harmonic soft x-rays," Nature 406, p. 164, 2000.
7. T. Brixner, N. H. Damrauer, P. Niklaus, and G. Gerber, "Photoselective adaptive femtosecond quantum control in the liquid phase," Nature 414, p. 57, 2001.
8. J. L. Herek, D. Z. W. Wohlleben, R. J. Cogdell, and M. Motzkus, "Quantum control of energy flow in light harvesting," Nature 417, p. 533, 2002.
9. T. Brixner, N. H. Damrauer, B. Kiefer, and G. Gerber, "Liquid-phase adaptive femtosecond quantum control: Removing intrinsic intensity dependencies," J. Chem. Phys. 118, p. 3692, 2003.
10. C. Daniel, J. Full, L. Gonzalez, C. Lupulescu, J. Manz, A. Merli, Š. Vajda, and L. Wöste. "Deciphering the reaction dynamics underlying optimal control laser fields," Science 299, pp. 536-539, 2003.
11. T. Pfeifer, D. Walter, C. Winterfeldt, C. Spielmann, and G. Gerber, "Controlling the spectral shape of coherent soft x-rays," Appl. Phys. B 80, p. 277, 2005.
12. G. Vogt, G. Krampert, P. Niklaus, P. Nuernberger, and G. Gerber, "Optimal control of photoisomerization," Phys. Rev. Lett. 94, p. 068305, 2005.
13. L. Polachek, D. Oron, and Y. Silberberg, "Full control of the spectral polarization of ultrashort pulses," Opt. Lett. 31, p. 5, 2006.
14. M. Plewicki, S. M. Weber, F. Weise, and A. Lindinger, "Independent control over the amplitude, phase, and polarization of femtosecond pulses," Appl. Phys. B., 2006. submitted.
15. M. Plewicki, F. Weise, S. M. Weber, and A. Lindinger, "Phase, amplitude, and polarization shaping with a pulse shaper in a mach-zehnder interferometer," Appl. Opt., 2006. submitted.
16. G. M. Huang, T. J. Tarn, and J. W. Clark, "On the controllability of quantum-mechanical systems," J. Math. Phys. 24, pp. 2608-2618, 1983.
17. A. P. Peirce, M. A. Dahleh, and H. Rabitz, "Optimal control of quantum-mechanical systems: Existence, numerical approximation, and applications," Phys. Rev. A 37, pp. 4950-4964, 1988.
18. R. Kosloff, S. A. Rice, P. Gaspard, S. Tersigni, and D. J. Tannor, "Wavepacket dancing: Achieving chemical selectivity by shaping light pulses," Chem. Phys. 139, pp. 201-220, 1989.
19. V. Ramakrishna, M. V. Salapaka, M. Dahleh, H. Rabitz, and A. Peirce, "Controllability of molecular systems," Phys. Rev. A 51, p. 960, 1995.
20. S. G. Schirmer, H. Fu, and A. I. Solomon, "Complete controllability of quantum systems," Phys. Rev. A 63, p. 063410, 2001.
21. D. J. Tannor, R. Kosloff, and S. A. Rice, "Coherent pulse sequence induced control of selectivity of reactions: Exact quantum mechanical calculations," J. Chem. Phys. 85, pp. 5805-5820, 1986.
22. D. J. Tannor and S. A. Rice, "Control of selectivity of chemical reaction via control of wave packet evolution," J. Chem. Phys. 83, pp. 5013-5018, 1986.
23. D. J. Tannor, V. Kazakov, and V. Orlov, Time-Dependent Quantum Molecular Dynamics, ch. Control of photochemical branching: Novel procedures for finding optimal pulses and global upper bounds, p. 347. Plenum Press, New York, 1992.
24. W. Zhu, J. Botina, and H. Rabitz, "Rapidly convergent iteration methods for quantum optimal control of population," J. Chem. Phys. 108, p. 1953, 1998.
25. J. P. Palao and R. Kosloff, "Quantum computing by an optimal control algorithm for unitary transformations," Phys. Rev. Lett. 89, p. 188301, 2002.
26. Y. Maday and G. Turinici, "New formulations of monotonically convergent quantum control algorithms," J. Chem. Phys. 118, p. 8191, 2003.
27. J. Werschnik and E. K. U. Gross, "Tailoring laser pulses with spectral and fluence constraints using optimal control theory," J. Opt. B: Quantum and Semiclass. Opt. 7, p. S300, 2005.
28. A. Bartana, R. Kosloff, and D. J. Tannor, "Laser cooling of molecular internal degrees of freedom by a series of shaped pulses," J. Chem. Phys. 99, p. 196, 1993.
29. A. Bartana, R. Kosloff, and D. J. Tannor, "Laser cooling of internal degrees of freedom, ii," J. Chem. Phys. 106, p. 1435, 1997.
30. H. Rabitz, R. de Vivie-Riedle, M. Motzkus, and K. Kompa, "Whiter the future of controlling quantum phenomena ?," Science 288, p. 824, 2000.
31. D. Geppert, A. Hofmann, and R. de Vivie-Riedle, "Control of a collision complex via a conical intersection," J. Chem. Phys. 119, p. 5901, 2003.
32. B. Schäfer-Bung, R. Mitrić, V. Bonačić- Koutecký, A. Bartelt, C. Lupulescu, A. Lindinger, Š. Vajda, S. M. Weber, and L. Wöste, "Optimal control of ionization processes in nak; comparison between theory and experiment," J. Phys. Chem. A 108(19), pp. 4175-4179, 2004.
33. C. P. Koch, J. P. Palao, R. Kosloff, and F. Masnou-Seeuws, "Stabilization of ultracold molecules using optimal control theory," Phys. Rev. A 70, p. 013402, 2004.
34. H. J. Sussmann and J. C. Willems, "300 years of optimal control," IEEE Control Syst. Mag. 17, pp. 32-44, 1997.
35. R. Vinter, Optimal Control, Birkhäuser, Boston, 2000.
36. J. Bechhoefer, "Feedback for physicists: A tutorial essay on control," Rev. Mod. Phys. 77, p. 783, 2005.
37. Y. Ohtsuki, G. Turinici, and H. Rabitz, "Generalized monotonically convergent algorithms for solving quantum optimal control problems," J. Chem. Phys. 120(12), p. 5509, 2004.
38. A. Kaiser and V. May, "Optimal control theory for a target state distributed in time: Optimizing the probe-pulse signal of a pump-probe-scheme, " J. Chem. Phys. 121, p. 2528, 2004.
39. A. Kaiser and V. May, "Optimizing frequency dispersed transient absorption signals: A computational study," Chem. Phys. Lett. 405, p. 339, 2005.
40. I. Serban, J. Werschnik, and E. K. U. Gross, "Optimal control of time-dependent targets," Phys. Rev. A 71, p. 053810, 2005.
41. J. Werschnik, Quantum Optimal Control Theory: Filter Techniques, Time-Dependent Targets, and Time-Dependent Density-Functional Theory, Cuvillier Verlag, Göttingen, 2005.
42. W. Zhu and H. Rabitz, "A rapid monotonically convergent iteration algorithm for quantum optimal control over the expectation value of a positive definite operator," J. Chem. Phys. 109, p. 385, 1998.
43. I. Serban, "Optimal control of time-dependent targets," Master's thesis, Freie Universität Berlin, 2004.
44. M. Frigo and S. G. Johnson, "FFTW: An adaptive software architecture for the FFT," in Proc. 1998 IEEE Intl. Conf. Acoustics Speech and Signal Processing, 3, pp. 1381-1384, IEEE, (Seattle, WA, USA), 1998.
45. L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms, John Wiley and Sons, New York, 1975.
46. M. A. L. Marques, A. Castro, G. F. Bertsch, and A. Rubio, "Octopus: a first-principles tool for excited electron-ion dynamics," Comput. Phys. Commun. 151, p. 60, 2003.
47. "Octopus," http://www.tddft.org/programs/octopus.