Understanding the global structure of two-level quantum systems with relaxation: Vector fields organized through the magic plane and the steady-state ellipsoid

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 88, Issue 3, 2013, Pages

  Lapert, M ^a   Assemat E ^b   Glaser, S J ^a   Sugny, D ^b  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

^b UNIVERSITÉ DE BOURGOGNE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DISSIPATIVE QUANTUM SYSTEMS; GEOMETRIC OBJECTS; GLOBAL DYNAMICS; GLOBAL STRUCTURE; QUANTUM SYSTEM; TIME OPTIMAL CONTROL; VECTOR FIELDS;

QUANTUM OPTICS;

QUANTUM ELECTRONICS;

EID: 84884839155     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.88.033407     Document Type: Article

References (36)

1. A. Messiah, Quantum Mechanics (Dunod, Paris, 1995).
2. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, UK, 2000).
3. S. Rice and M. Zhao, Optimal Control of Quantum Dynamics (Wiley, New York, 2000).
4. M. Shapiro and P. Brume, Principles of Quantum Control of Molecular Processes (Wiley, New York, 2003).
5. C. Brif, R. Chakrabarti, and H. Rabitz, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/12/7/075008 12, 075008 (2010).
6. M. H. Levitt, Spin Dynamics: Basics of Nuclear Magnetic Resonance (John Wiley and Sons, Hoboken, NJ, 2008);
7. 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).
8. H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, Oxford, UK, 2002).
9. B. B. Laird, J. Budimir, and J. L. Skinner, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.460626 94, 4391 (1991).
10. D. Traficante, Encyclopedia of Nuclear Magnetic Resonance (John Wiley and Sons, Chichester, 1996), p. 3988.
11. E. Geva, R. Kosloff, and J. L. Skinner, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.468844 102, 8541 (1995).
12. M. Lapert, Y. Zhang, M. Janich, S. J. Glaser, and D. Sugny, Sci. Rep. 2045-2322 10.1038/srep00589 2, 589 (2012).
13. R. Roloff, M. Wenin, and W. Pötz, J. Comput. Theor. Nanosci. 1546-1955 10.1166/jctn.2009.1246 6, 1837 (2009).
14. J.-S. Lee, R. R. Regatte, and A. Jerschow, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/j.cplett.2010.06.019 494, 331 (2010).
15. T. Viellard, F. Chaussard, D. Sugny, B. Lavorel, and O. Faucher, J. Raman Spec. JRSPAF 0377-0486 10.1002/jrs.1976 39, 694 (2008).
16. V. Mukheizee, A. Carlini, A. Mari, T. Caneva, S. Montangero, T. Calarco, R. Fazio, and V. Giovannetti (unpublished).
17. D. Stefanatos, N. Khaneja, and S. J. Glaser, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.022319 69, 022319 (2004).
18. D. Stefanatos, S. J. Glaser, and N. Khaneja, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.062320 72, 062320 (2005). (Pubitemid 43272666)
19. G. Lindblad, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01609396 40, 147 (1975).
20. V. Gorini, A. Kossakowski, and E. C. G. Sudarshan, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.522979 17, 821 (1976).
21. A. D. Bain, C. K. Anand, and Z. Nie, J. Magn. Reson. JMARF3 1090-7807 10.1016/j.jmr.2010.07.012 206, 227 (2010).
22. G. A. Morris and P. B. Chilvers, J. Magn. Reson., Ser. A JMRAE2 1064-1858 10.1006/jmra.1994.1074 107, 236 (1994).
23. P. J. Hajduk, D. A. Horita, and L. E. Lerner, J. Magn. Reson., Ser. A JMRAE2 1064-1858 10.1006/jmra.1993.1129 103, 40 (1993).
24. D. E. Rourke, L. Khodarinova, and A. A. Karabanov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.163003 92, 163003 (2004).
25. 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).
26. B. Bonnard and D. Sugny, SIAM J. Control Optim. SJCODC 0363-0129 10.1137/080717043 48, 1289 (2009).
27. B. Bonnard, M. Chyba, and D. Sugny, IEEE Trans. Autom. Control IETAA9 0018-9286 10.1109/TAC.2009.2031212 54, 2598 (2009).
28. D. Sugny, C. Kontz, and H. R. Jauslin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.023419 76, 023419 (2007). (Pubitemid 47311583)
29. B. B. Laird and J. L. Skinner, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.460627 94, 4405 (1991).
30. H. M. Sevian and J. L. Skinner, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.457648 91, 1775 (1989).
31. A. A. Goun and B. Ya. Zel'dovich, J. Mod. Opt. JMOPEW 0950-0340 10.1080/09500340110090792 49, 503 (2002). (Pubitemid 34593649)
32. M. L. Aolita, I. Garcia-Mata, and M. Saraceno, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.062301 70, 062301 (2004); (Pubitemid 40213806)
33. C. Altafini, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1571221 44, 2357 (2003). (Pubitemid 36802841)
34. D. J. Tannor and A. Bartana, J. Phys. Chem. A JPCAFH 1089-5639 10.1021/jp992544x 103, 10359 (1999).
35. M. Lapert, Y. Zhang, S. J. Glaser, and D. Sugny, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/44/15/154014 44, 154014 (2011).
36. 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).