Adiabatic approximation for quantum dissipative systems: Formulation, topology, and superadiabatic tracking

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 82, Issue 2, 2010, Pages

  Dridi, G ^a   Guerin S ^a   Jauslin, H R ^a   Viennot, D ^b   Jolicard, G ^b  

^a UNIVERSITÉ DE BOURGOGNE   (France)

^b UNIVERSITÉ DE FRANCHE COMTÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ADIABATIC APPROXIMATIONS; ADIABATIC PASSAGES; CHIRPED PULSE; DISSIPATION RATES; DISSIPATIVE SYSTEMS; EIGEN-VALUE; POPULATION TRANSFER; STRONG COUPLING; TWO-STATE; WEAK DISSIPATION;

EIGENVALUES AND EIGENFUNCTIONS;

TOPOLOGY;

EID: 77956238837     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.82.022109     Document Type: Article

References (45)

1. A. Messiah, Quantum Mechanics (North-Holland, Amsterdam, 1962).
2. B. W. Shore, The Theory of Coherent Atomic Excitation (Wiley, New York, 1990);
3. B. W. Shore, Acta Phys. Slovaca 58, 243 (2008).
4. N. V. Vitanov, T. Halfmann, B. W. Shore, and K. Bergmann, Annu. Rev. Phys. Chem. ARPLAP 0066-426X 10.1146/annurev.physchem.52.1.763 52, 763 (2001).
5. S. Guérin and H. R. Jauslin, Adv. Chem. Phys. ARPLAP 0471-2145 10.1002/0471428027.ch3 125, 147 (2003).
6. E. A. Shapiro, A. Pe'er, J. Ye, and M. Shapiro, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.023601 101, 023601 (2008).
7. H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, Oxford, UK, 2002).
8. C. W. Gardiner and P. Zoller, Quantum Noise (Springer, Berlin, 2004).
9. U. Weiss, Quantum Dissipative Systems (World Scientific, Singapore, 2008).
10. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000).
11. J. C. Garrison and E. M. Wright, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(88)90905-X 128, 177 (1988).
12. A. Kvitsinsky and S. Puttermann, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.529294 32, 1403 (1991).
13. G. Nenciu and G. Rasche, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/ 25/21/027 25, 5741 (1992).
14. M. S. Sarandy and D. A. Lidar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.250503 95, 250503 (2005);
15. M. S. Sarandy and D. A. Lidar, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.012331 71, 012331 (2005).
16. A. Joye, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/s00220-007-0299-y 275, 139 (2007).
17. M. V. Berry, Proc. R. Soc. London A CMPHAY 1364-5021 10.1098/rspa.1987. 0131 414, 31 (1987).
18. M. V. Berry, Proc. R. Soc. London A CMPHAY 1364-5021 10.1098/rspa.1990. 0051 429, 61 (1990).
19. G. Nenciu, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF02096616 152, 479 (1993).
20. A. Joye and C.-E. Pfister, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.530255 34, 454 (1993).
21. K. Drese and M. Holthaus, Eur. Phys. J. D EPJDF6 1434-6060 10.1007/s100530050150 3, 73 (1998).
22. A. M. Dykhne, Zh. Eksp. Teor. Fiz. 41, 1324 (1962)
23. A. M. Dykhne, [Sov. Phys. JETP 14, 941 (1962)];
24. J. P. Davis and P. Pechukas, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.432648 64, 3129 (1976).
25. J.-T. Hwang and P. Pechukas, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.434630 67, 4640 (1977).
26. A. Joye, H. Kuntz, and Ch.-Ed. Pfister, Ann. Phys. (NY) APNYA6 0003-4916 10.1016/0003-4916(91)90297-L 208, 299 (1991);
27. A. Joye, G. Mileti, and Ch.-Ed. Pfister, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.44.4280 44, 4280 (1991).
28. R. Schilling, M. Vogelsberger, and D. A. Garanin, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/39/44/008 39, 13727 (2006).
29. V. M. Akulin and W. P. Schleich, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.46.4110 46, 4110 (1992);
30. N. V. Vitanov and S. Stenholm, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.55.2982 55, 2982 (1997).
31. S. Guérin, L. P. Yatsenko, and H. R. Jauslin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.031403 63, 031403 (R) (2001);
32. L. P. Yatsenko, S. Guérin, and H. R. Jauslin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.043407 65, 043407 (2002).
33. D. Viennot, G. Jolicard, and J. P. Killingbeck, J. Phys. A PLRAAN 1751-8113 10.1088/1751-8113/41/14/145303 41, 145303 (2008).
34. S. Guérin, S. Thomas, and H. R. Jauslin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.023409 65, 023409 (2002).
35. M. V. Berry, Proc. R. Soc. London A PLRAAN 1364-5021 10.1098/rspa.1990. 0096 430, 405 (1990).
36. L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Dover, New York, 1987).
37. A. I. Nesterov and S. G. Ovchinnikov, Phys. Rev. E PLRAAN 1539-3755 10.1103/PhysRevE.78.015202 78, 015202 (R) (2008).
38. L. P. Yatsenko, V. R. Romanenko, B. W. Shore, T. Halfmann, and K. Bergmann, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.033418 71, 033418 (2005).
39. S. Thomas, S. Guérin, and H. R. Jauslin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.013402 71, 013402 (2005).
40. C. E. Caroll and F. T. Hioe, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/19/7/017 19, 1151 (1986).
41. S. Brundobler and V. Elser, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/26/5/037 26, 1211 (1993).
42. A. Joye and C.-E. Pfister, Asymptotic Anal. 23, 91 (2000).
43. C. Fermanian-Kammerer and V. Rousse, e-print arXiv: 0904.0211v2 [math.AP].
44. S. S. Ivanov and N. V. Vitanov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.023406 77, 023406 (2008).
45. X. Lacour, S. Guérin, and H. R. Jauslin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.033417 78, 033417 (2008).