Analytical results for state-to-state transition probabilities in the multistate Landau-Zener model by nonstationary perturbation theory

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 75, Issue 2, 2007, Pages

  Volkov, M V ^a,b   Ostrovsky, V N ^a  

^a ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

^b ALBANOVA UNIVERSITY CENTER   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMIC PHYSICS; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; PROBABILITY; ZENER EFFECT;

DIABATIC POTENTIAL CURVES; LANDAU-ZENER MODEL; NONSTATIONARY PERTURBATION THEORY; STATE-TO-STATE TRANSITION;

ELECTRON TRANSITIONS;

EID: 33847165397     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.75.022105     Document Type: Article

References (24)

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 10.1098/rspa.1932.0165 137, 696 (1932).
3. E. Majorana, Nuovo Cimento NUCIAD 0029-6341 9, 43 (1932).
4. E. C. G. Stükelberg, Helv. Phys. Acta HPACAK 0018-0238 10.1002/hlca.19220050307 5, 369 (1932).
5. Uu. N. Demkov and V. I. Osherov, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 53, 1589 (1967)
6. Uu. N. Demkov and V. I. Osherov, [Sov. Phys. JETP SPHJAR 0038-5646 26, 915 (1968)].
7. V. N. Ostrovsky and H. Nakamura, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.58.4293 58, 4293 (1995).
8. Yu. N. Demkov and V. N. Ostrovsky, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.032705 61, 032705 (2000).
9. Yu. N. Demkov and V. N. Ostrovsky, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/34/12/309 34, 2419 (2001).
10. S. Brundobler and V. Elser, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/26/5/037 26, 1211 (1993).
11. A. V. Shytov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.052708 70, 052708 (2004).
12. M. V. Volkov and V. N. Ostrovsky, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/37/20/003 37, 4069 (2004).
13. B. E. Dobrescu and N. A. Sinitsyn, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/39/5/N01 39, 1253 (2006).
14. M. V. Volkov and V. N. Ostrovsky, J. Phys. B JPAPEH 0953-4075 39, 1661 (2006).
15. M. V. Volkov and V. N. Ostrovsky, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/38/7/011 38, 907 (2005).
16. Y. Kayanuma, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.53.108 53, 108 (1984);
17. Y. Kayanuma, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.53.118 53, 118 (1983).
18. Y. Kayanuma, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.58. 1934 58, 1934 (1987).
19. Yu. N. Demkov and V. N. Ostrovsky, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/28/3/011 28, 403 (1995).
20. Yu. 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).
21. V. N. Ostrovsky and H. Nakamura, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.58.4293 58, 4293 (1998).
22. T. Usuki, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.56.13360 56, 13360 (1997).
23. V. N. Ostrovsky, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.012710 68, 012710 (2003).
24. V. N. Ostrovsky, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/38/10/007 38, 1483 (2005).