Time-optimal control of spin-1/2 particles with dissipative and generalized radiation-damping effects

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 87, Issue 4, 2013, Pages

  Lapert, M ^c   Assemat E ^a,d   Zhang, Y ^b   Glaser, S J ^b   Sugny, D ^a,d  

^a UNIVERSITÉ DE BOURGOGNE   (France)

^b TECHNICAL UNIVERSITY OF MUNICH   (Germany)

^c UNIVERSITY OF ULM   (Germany)

^d INRIA SACLAY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDED FIELD; GEOMETRIC OPTIMAL CONTROL; OPTIMAL CONTROL LAW; OPTIMAL SYNTHESIS; RADIATION DAMPING; SPECIFIC VALUES; TIME OPTIMAL CONTROL;

CONTROL THEORY; RADIATION EFFECTS;

CONTROL;

EID: 84877768418     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.87.043417     Document Type: Article

References (50)

1. M. H. Levitt, Spin Dynamics: Basis of Nuclear Magnetic Resonance (John Wiley and Sons, New York, 2008).
2. R. R. Ernst, Principles of Nuclear Magnetic Resonance in One and Two Dimensions, International Series of Monographs on Chemistry (Oxford University Press, Oxford, UK, 1990).
3. M. A. Bernstein, K. F. King, and X. J. Zhou, Handbook of MRI Pulse Sequences (Elsevier, Burlington, 2004).
4. S. Rice and M. Zhao, Optimal Control of Molecular Dynamics (Wiley, New York, 2003).
5. M. Shapiro and P. Brumer, Principles of Quantum Control of Molecular Processes (Wiley, New York, 2003).
6. D. J. Tannor, Introduction to Quantum Mechanics: A Time-Dependent Perspective (University Science Books, Sausalito, CA, 2007).
7. R. C. C. Brif and H. Rabitz, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/12/7/075008 12, 075008 (2010).
8. N. C. Nielsen, C. Kehlet, S. J. Glaser, and N. Khaneja, Optimal Control Methods in NMR Spectroscopy, Encyclopedia of Nuclear Magnetic Resonance (Wiley, New York, 2010).
9. N. Khaneja, T. Reiss, C. Kehlet, T. Shulte-Herbrüggen, and S. J. Glaser, J. Magn. Reson. JMARF3 1090-7807 10.1016/j.jmr.2004.11.004 172, 296 (2005); (Pubitemid 40072534)
10. T. E. Skinner, T. O. Reiss, B. Luy, N. Khaneja, and S. J. Glaser, J. Magn. Reson. JMARF3 1090-7807 10.1016/S1090-7807(03)00153-8 163, 8 (2003);
11. T. E. Skinner, T. O. Reiss, B. Luy, N. Khaneja, and S. J. Glaser, J. Magn. Reson. JMARF3 1090-7807 10.1016/j.jmr.2004.09.011 172, 17 (2005);
12. T. E. Skinner, K. Kobzar, B. Luy, R. Bendall, W. Bermel, N. Khaneja, and S. J. Glaser, J. Magn. Reson. JMARF3 1090-7807 10.1016/j.jmr.2005.12.010 179, 241 (2006);
13. N. I. Gershenzon, K. Kobzar, B. Luy, S. J. Glaser, and T. E. Skinner, J. Magn. Reson. JMARF3 1090-7807 10.1016/j.jmr.2007.08.007 188, 330 (2007). (Pubitemid 47562811)
14. P. de Fouquieres, S. G. Schirmer, S. J. Glaser, and I. Kuprov, J. Magn. Reson. JMARF3 1090-7807 10.1016/j.jmr.2011.07.023 212, 412 (2011).
15. M. S. Vinding, I. I. Maximov, Z. Tosner, and N. C. Nielsen, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.4739755 137, 054203 (2012);
16. I. Maximov, J. Salomon, G. Turinici, and N. C. Nielsen, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.3328783 132, 084107 (2010).
17. B. Bonnard and M. Chyba, Singular Trajectories and their Role in Control Theory (Springer-Verlag, Berlin, 2003), Vol. 40.
18. V. Jurdjevic, Geometric Control Theory (Cambridge University Press, Cambridge, UK, 1996).
19. U. Boscain and B. Piccoli, Optimal Syntheses for Control Systems on 2-D Manifolds (Springer-Verlag, Berlin, 2004), Vol. 43.
20. U. Boscain and P. Mason, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.2203236 47, 062101 (2006). (Pubitemid 44000483)
21. N. Khaneja, R. Brockett, and S. J. Glaser, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.032308 63, 032308 (2001). (Pubitemid 33764922)
22. X. Chen, E. Torrontegui, D. Stefanatos, J.-S. Li, and J. G. Muga, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.84.043415 84, 043415 (2011);
23. D. Stefanatos, J. Ruths, and J.-S. Li, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.063422 82, 063422 (2010).
24. D. Stefanatos, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.045401 80, 045401 (2009);
25. D. Sugny and M. Joyeux, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.480559 112, 31 (2000).
26. M. Lapert, Y. Zhang, M. Braun, S. J. Glaser, and D. Sugny, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.083001 104, 083001 (2010);
27. M. Lapert, Y. Zhang, M. Braun, S. J. Glaser, and D. Sugny, Phys. Rev. Lett. PLRAAN 1050-2947 10.1103/PhysRevA.82.063418 82, 063418 (2010).
28. M. Lapert, Y. Zhang, M. Janich, S. J. Glaser, and D. Sugny, Sci. Rep. 2045-2322 10.1038/srep00589 2, 589 (2012).
29. E. Assémat, M. Lapert, Y. Zhang, M. Braun, S. J. Glaser, and D. Sugny, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.013415 82, 013415 (2010).
30. B. Bonnard, M. Chyba, and D. Sugny, IEEE Trans. Autom. Control IETAA9 0018-9286 10.1109/TAC.2009.2031212 54, 2598 (2009).
31. B. Bonnard and D. Sugny, SIAM J. Control Optim. SJCODC 0363-0129 10.1137/080717043 48, 1289 (2009).
32. D. Sugny, C. Kontz, and H. R. Jauslin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.023419 76, 023419 (2007). (Pubitemid 47311583)
33. G. Lindblad, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01608499 48, 119 (1976).
34. V. Gorini, A. Kossakowski, and E. C. G. Sudarshan, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.522979 17, 821 (1976).
35. N. Bloembergen and R. V. Pound, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.95.8 95, 8 (1954).
36. W. S. Warren, S. L. Hammes, and J. L. Bates, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.457458 91, 5895 (1989).
37. S. Bloom, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1722859 28, 800 (1957).
38. D. Abergel, A. Louis-Joseph, and J.-Y. Lallemand, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1462583 116, 7073 (2002). (Pubitemid 34537089)
39. A. Louis-Joseph, D. Abergel, and J.-Y. Lallemand, J. Biomol. NMR JBNME9 0925-2738 10.1007/BF00208813 5, 212 (1995).
40. D. Abergel, A. Louis-Joseph, and J.-Y. Lallemand, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/0009-2614(96)01103-7 262, 465 (1996).
41. D. Abergel, A. Louis-Joseph, and J.-Y. Lallemand, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.481197 112, 6365 (2000).
42. D. Abergel, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(02)01079-4 302, 17 (2002).
43. M. Augustine, Prog. Nucl. Magn. Reson. Spectrosc. PNMRAT 0079-6565 10.1016/S0079-6565(01)00037-1 40, 111 (2002). (Pubitemid 34100261)
44. M. Augustine, S. Bush, and E. Hahn, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/S0009-2614(00)00390-0 322, 111 (2000).
45. A. Sodickson, W. E. Maas, and D. G. Cory, J. Magn. Reson., Ser. B JMRBE5 1064-1866 10.1006/jmrb.1996.0046 110, 298 (1986).
46. Y. Zhang, M. Braun, M. Lapert, D. Sugny, and S. J. Glaser, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.3543796 134, 054103 (2011).
47. P. Broekaert and J. Jeener, J. Magn. Reson., Ser. A JMRAE2 1064-1858 10.1006/jmra.1995.1056 113, 60 (1995).
48. J. Chen, B. Cutting, and G. Bodenhausen, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.481223 112, 6511 (2000). (Pubitemid 33638864)
49. C. Altafini, P. Cappelaro, and D. Cory, Systems Control Lett. SCLEDC 0167-6911 10.1016/j.sysconle.2010.09.004 59, 12 (2010).
50. L. Pontryagin, Mathematical Theory of Optimal Processes (Mir, Moscow, 1974).