Degenerate Landau-Zener model: Analytical solution

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 75, Issue 1, 2007, Pages

  Vasilev, G S ^a   Ivanov, S S ^a   Vitanov, N V ^a,b  

^a UNIVERSITY OF SOFIA   (Bulgaria)

^b INSTITUTE OF SOLID STATE PHYSICS   (Bulgaria)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ELECTRON ENERGY LEVELS; ELECTRON TRANSITIONS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; PROBABILITY;

ANGULAR MOMENTA; COUPLED SYSTEMS; LANDAU ZENER MODELS; MAGNETIC SUBLEVELS; TRANSITION PROBABILITIES;

ATOMIC PHYSICS;

EID: 33846554140     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.75.013417     Document Type: Article

References (46)

1. L. D. Landau, Phys. Z. Sowjetunion PHZSAL 0369-9811 2, 46 (1932);
2. C. Zener, Proc. R. Soc. London, Ser. A PRLAAZ 0950-1207 A137, 696 (1932);
3. E. C. G. Stückelberg, Helv. Phys. Acta HPACAK 0018-0238 10.1002/hlca.19220050307 5, 369 (1932).
4. C. E. Carroll and F. T. Hioe, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/19/7/017 19, 1151 (1986);
5. C. E. Carroll and F. T. Hioe, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/19/11/014 19, 2061 (1986).
6. V. N. Ostrovsky and H. Nakamura, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/30/19/028 30, 6939 (1997).
7. D. A. Harmin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.44.433 44, 433 (1991).
8. S. Brundobler and V. Elser, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/26/5/037 26, 1211 (1993).
9. M.-O. Mewes, M. R. Andrews, D. M. Kurn, D. S. Durfee, C. G. Townsend, and W. Ketterle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.582 78, 582 (1997).
10. N. V. Vitanov and K.-A. Suominen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.56.R4377 56, R4377 (1997).
11. Y. N. Demkov and V. N. Ostrovsky, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.032705 61, 032705 (2000);
12. Y. N. Demkov and V. N. Ostrovsky, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/34/12/309 34, 2419 (2001).
13. Y. N. Demkov and V. N. Ostrovsky, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/28/3/011 28, 403 (1995).
14. T. Usuki, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.56.13360 56, 13360 (1997).
15. V. N. Ostrovsky and H. Nakamura, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.58.4293 58, 4293 (1998).
16. Y. N. Demkov and V. I. Osherov, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 53, 1589 (1967)
17. Y. N. Demkov and V. I. Osherov, [Sov. Phys. JETP SPHJAR 0038-5646 26, 916 (1968)].
18. Y. Kayanuma and S. Fukuchi, J. Phys. B JPAMA4 0022-3700 10.1088/0022-3700/18/20/012 18, 4089 (1985).
19. Y. N. Demkov, P. B. Kurasov, and V. N. Ostrovsky, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/28/15/016 28, 4361 (1995).
20. A. V. Shytov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.052708 70, 052708 (2004).
21. N. A. Sinitsyn, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/37/44/016 37, 10691 (2004).
22. M. V. Volkov and V. N. Ostrovsky, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/37/20/003 37, 4069 (2004).
23. M. V. Volkov and V. N. Ostrovsky, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/38/7/011 38, 907 (2005).
24. J. S. Melinger, S. R. Gandhi, A. Hariharan, J. X. Tull, and W. S. Warren, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.68.2000 68, 2000 (1992).
25. 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).
26. M. S. Child, Molecular Collision Theory (Dover, New York, 1974).
27. K.-A. Suominen, K. Burnett, P. S. Julienne, M. Walhout, U. Sterr, C. Orzel, M. Hoogerland, and S. L. Rolston, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.53.1678 53, 1678 (1996);
28. K.-A. Suominen, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/29/24/008 29, 5981 (1996);
29. J. Weiner, V. S. Bagnato, S. Zilio, and P. S. Julienne, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.71.1 71, 1 (1999);
30. V. A. Yurovsky and A. Ben-Reuven, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.55.3772 55, 3772 (1997);
31. R. Napolitano, J. Weiner, and P. S. Julienne, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.55.1191 55, 1191 (1997);
32. J. Piilo and K.-A. Suominen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.013401 66, 013401 (2002).
33. A. A. Rangelov, J. Piilo, and N. V. Vitanov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.053404 72, 053404 (2005).
34. V. A. Yurovsky, A. Ben-Reuven, P. S. Julienne, and Y. B. Band, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/32/8/306 32, 1845 (1999);
35. V. A. Yurovsky and A. Ben-Reuven, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.043404 63, 043404 (2001).
36. V. A. Yurovsky and A. Ben-Reuven, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/31/1/005 31, 1 (1998).
37. E. S. Kyoseva and N. V. Vitanov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.023420 73, 023420 (2006).
38. B. W. Shore, The Theory of Coherent Atomic Excitation (Wiley, New York, 1990).
39. L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Dover, New York, 1987).
40. J. R. Morris and B. W. Shore, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.27.906 27, 906 (1983).
41. F. R. Gantmacher, Matrix Theory (Springer, Berlin, 1986).
42. N. V. Vitanov and B. M. Garraway, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.53.4288 53, 4288 (1996).
43. F. T. Hioe, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.30.2100 30, 2100 (1984).
44. N. V. Vitanov, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/33/12/314 33, 2333 (2000);
45. N. V. Vitanov, Z. Kis, and B. W. Shore, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.063414 68, 063414 (2003);
46. Z. Kis, A. Karpati, B. W. Shore, and N. V. Vitanov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.053405 70, 053405 (2004).