Optimal quantum control in nanostructures: Theory and application to a generic three-level system

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 66, Issue 5, 2002, Pages

  Borzì, Alfio ^a   Stadler, George ^a   Hohenester, Ulrich ^a  

^a UNIVERSITY OF GRAZ   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ATOMIC PHYSICS; ELECTRON ENERGY LEVELS; ELECTRON TRANSITIONS; FOURIER TRANSFORMS; LAGRANGE MULTIPLIERS; LASER PULSES; MATHEMATICAL MODELS; OPTIMIZATION; PARTIAL DIFFERENTIAL EQUATIONS; PUMPING (LASER); STIMULATED EMISSION;

COHERENT CARRIER CONTROL; QUANTUM NANOSTRUCTURE; QUANTUM-STATE TRANSITION; SCHRODINGER EQUATION;

QUANTUM OPTICS;

EID: 0036877299     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/physreva.66.053811     Document Type: Article

References (24)

1. Coherent Control in Atoms, Molecules, and Semiconductors, edited by W. Pötz and W.A. Schroeder (Kluwer, Dordrecht, 1999).
2. M.O. Scully and M.S. Zubairy, Quantum Optics (Cambridge University Press, Cambridge, UK, 1997).
3. H. Rabitz, R. de Vivie-Riedle, M. Motzkus, and K. Kompka, Science 288, 824 (2000).
4. A.P. Heberle, J.J. Baumberg, and K. Köhler, Phys. Rev. Lett. 75, 2598 (1995).
5. L. Jacak, P. Hawrylak, and A. Wojs, Quantum Dots (Springer, Berlin, 1998).
6. N.H. Bonadeo, J. Erland, D. Gammon, D. Park, D.S. Katzer, and D.G. Steel, Science 282, 1473 (1998).
7. T.H. Stievater, X. Li, D.G. Steel, D. Gammon, D.S. Katzer, D. Park, C. Piermarocchi, and L.J. Sham, Phys. Rev. Lett. 87, 133603 (2001).
8. U. Hohenester, F. Troiani, E. Molinari, G. Panzarini, and C. Macchiavello, Appl. Phys. Lett. 77, 1864 (2000).
9. E. Pazy, I. D'Amico, P. Zanardi, and F. Rossi, Phys. Rev. B 64, 195320 (2001).
10. E. Biolatti, R.C. Iotti, P. Zanardi, and F. Rossi, Phys. Rev. Lett. 85, 5647 (2000).
11. P. Chen, C. Piermarocchi, and L.J. Sham, Phys. Rev. Lett. 87, 067401 (2001).
12. C. Piermarocchi, P. Chen, Y.S. Dale, and L.J. Sham, Phys. Rev. B 65, 075307 (2002).
13. The Physics of Quantum Information, edited by D. Bouwmeester, A. Ekert, and A. Zeilinger (Springer, Berlin, 2000).
14. K. Bergmann, H. Theuer, and B.W. Shore, Rev. Mod. Phys. 70, 1003 (1998).
15. R.R. Ernst, G. Bodenhausen, and A. Wokaun, Principles on Nuclear Magnetic Resonance in One and Two Dimensions (Dover, New York, 1987).
16. J.L. Lions, Optimal Control of Systems Governed by Partial Differential Equations (Springer, Berlin, 1971).
17. P. Neittaanmäki and D. Tiba, Optimal Control of Nonlinear Parabolic Systems (Dekker, New York, 1994).
18. A.P. Peirce, M.A. Dahleh, and H. Rabitz, Phys. Rev. A 37, 4950 (1988).
19. H.O. Fattorini, Infinite Dimensional Optimisation and Control Theory (Cambridge University Press, Cambridge, UK, 1999).
20. U. Hohenester, F. Troiani, and E. Molinari, in Radiation-Matter Interaction in Confined Systems, edited by I.C. Andreani, G. Benedek, and E. Molinari (Soc. Italiana di Fisica, Bologna, 2002), p. 25.
21. D. P. Bertsekas, Nonlinear Programming (Athena Scientific, Belmont, 1999).
22. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, Cambridge, 1995).
23. T. Brandes and F. Renzoni, Phys. Rev. Lett. 85, 4148 (2000).
24. U. Boscain, G. Charlot, J.-P. Gauthier, S. Guérin, and H.-R. Jauslin, J. Math. Phys. 43, 2107 (2002).