Quantum mechanical optimal control of physical observables in microsystems
J. Chem. Phys. 92, 364 (1990); doi:10.1063/1.458438
Issue Date: 1 January 1990
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A quantum mechanical formalism for the optimal control of physical observables of microsystems is developed. The computational procedure for numerical implementation is presented. Three illustrative examples with a model Morse oscillator show that optimal pumping fields can be found to reach the physical objectives: selective excitations, steering a system to a specified state, and breaking a bond.
The Journal of Chemical Physics is copyrighted by The American Institute of Physics.
| History: | Received 5 January 1989; accepted 21 September 1989 |
| Permalink: |
http://link.aip.org/link/?JCPSA6/92/364/1 |
KEYWORDS and PACS
PUBLICATION DATA
0021-9606 (print)
1089-7690 (online)
REFERENCES (30)
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- A. G. Butkovskii and Yu. I. Samoilenko Control of Quantum Mechanical Processes, (in Russian) (Nauka, Moscow, 1984).
- V. P. Belavkin, Automatika i Telemekhanida 2, 50 (1983).
- G. M. Huang and T. J. Tarn, J. Mat. Phys. 24, 2608 (1983).
- O. A. Khorozov, Sov. Automat. Control 16, 48 (1984).
- S. Conolly, D. Nishimara, and Q. Maeovski, IEEE Med. Im. 5, 106 (1986).
- S. Shi, A. Woody, and H. Rabitz, J. Chem. Phys. 88, 6870 (1988).
- E. D. Smith, Numerical Solution of Partial Differential Equations: Finete Difference Methodes, 2nd ed. (Oxford University, Oxford, 1978).
- A. Askar and A. S. Cakmak, J. Chem. Phys. 68, 2754 (1978).
- D. Kosloff and R. Kosloff,
J. Comput. Phys. 52, 35 (1983 ). - C. Moler and C. Von Loan,
SIAM Rev. 20, 801 (1978 ). - R. Heather and H. Metiu, J. Chem. Phys. 86, 5009 (1987).
- W. S. Warren and A. H. Zewail, J. Chem. Phys. 78, 2298, 3583 (1983).
- R. G. Hulet and D. Kleppner, Phys. Rev. Lett. 51, 1430 (1983).
- M. V. Kuzman and V. N. Sazonov,
Sov. Phys. JETP 52, 889 (1981 ). - F. T. Hios,
Phys. Lett. A 99, 150 (1983 ). - G. L. Peterson and C. D. Cantrell, Phys. Rev. A 31, 806 (1985).
- M. H. Levitt, D. Suter, and R. R. Ernst, J. Chem. Phys. 80, 3064 (1984).
- J.-C. Diels and S. Besmainou, J. Chem. Phys. 85, 6347 (1986).
- T.-S. Ho and S.-I. Chu,
Chem. Phys. Lett. 141, 315 (1987 ). - Z. E. Dolya, N. B. Nazarova, G. K. Paramonov, and V. A. Savva,
Chem. Phys. Lett. 145, 499 (1988 ). - N. Bloembergen and A. H. Zewail,
J. Phys. Chem. 88, 5459 (1984 ). - D. J. Tannor and S. A. Rice, J. Chem. Phys. 83, 5013 (1985).
- S. Shi and Rabitz, J. Chem. Phys. (in press).
- M. Shapiro and P. Brumer, J. Chem. Phys. 84, 4103 (1986);
- T. A. Holme and J. S. Hutchinson,
Chem. Phys. Lett. 124, 181 (1986 );
J. Chem. Phys. 86, 41 (1987). - A. Lami and G. Villani,
J. Phys. Chem. 92, 4348 (1988 ). - E. J. Heller, J. Chem. Phys. 62, 1544 (1975);
- S.-I. Sawada, R. Heather, B. Jackson, and H. Metiu, J. Chem. Phys. 83, 3009 (1985).
- S. Shi and Rabitz, J. Chem. Phys. 88, 7508 (1988).
- S. Shi and Rabitz (to be published).








