Changes in Floquet-state structure at avoided crossings: Delocalization and harmonic generation

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 59, Issue 4, 1999, Pages 2886-2893

  Timberlake, T ^a   Reichl, L E ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001095332     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.59.2886     Document Type: Article

References (33)

1. L. E. Reichl, The Transition to Chaos In Conservative Classical Systems: Quantum Manifestations (Springer-Verlag, Berlin, 1983).
2. J. von Neumann and E. Wigner, Z. Phys. 30, 467 (1929).[English translation in R. Knox and A. Gold, Symmetry in the Solid State (W. A. Benjamin, Inc., New York, 1964).]
3. J. Zakrzewski and D. Delande, Phys. Rev. E 47, 1665 (1993).
4. S.-J. Wang and S. Y. Chu, Phys. Rev. A 47, 3546 (1993).
5. X. Yang and J. Burgdörfer, Phys. Rev. A 48, 83 (1993).
6. M. Latka, P. Grigolini, and B. J. West, Phys. Rev. A 50, 1071 (1994).
7. M. Latka, P. Grigolini, and B. J. West, Phys. Rev. E 50, 596 (1994).
8. E. J. Heller, P. W. O’Connor, and J. Gehlen, Phys. Scr. 40, 354 (1989).
9. J. J. Macklin, J. D. Kmetec, and C. L. Gordon, Phys. Rev. Lett. 70, 766 (1993).
10. Z. Chang, A. Rundquist, H. Wang, M. M. Murnane, and H. C. Kapteyn, Phys. Rev. Lett. 79, 2967 (1997).
11. W. Chism, T. Timberlake, and L. E. Reichl, Phys. Rev. E 58, 1713 (1998).
12. V. Averbukh and N. Moiseyev, Phys. Rev. A 51, 3911 (1995).
13. M. Pont and M. Gavrila, Phys. Rev. Lett. 65, 2362 (1990).
14. R. M. Potvliege and P. H. G. Smith, Phys. Rev. A 48, R46 (1993).
15. M. P. de Boer, J. H. Hoogenraad, R. B. Vrijen, R. C. Constantinescu, L. D. Noordam, and H. G. Muller, Phys. Rev. A 50, 4085 (1994).
16. B. Sundaram and R. V. Jensen, Phys. Rev. A 47, 1415 (1993).
17. W. A. Lin and L. E. Reichl, Phys. Rev. A 40, 1055 (1989).
18. J. Zakrzewski and D. Delande, Phys. Rev. E 47, 1650 (1993).
19. B. Galdrikian, B. Birnir, and M. Sherwin, Phys. Lett. A 203, 319 (1995).
20. B Birnir, B. Galdrikian, R. Grauer, and M. Sherwin, Phys. Rev. B 47, 6795 (1993).
21. W. A. Lin and L. E. Reichl, Physica D 19, 145 (1986).
22. M. Fuka, J. K. McIver, W. Becker, M. Orszag, and R. Ramírez, Phys. Rev. E 51, 1935 (1995).
23. J. H. Shirley, Phys. Rev. 138, B979 (1965).
24. H. Sambe, Phys. Rev. A 7, 2203 (1973).
25. H. P. Breuer and M. Holthaus, Z. Phys. D 11, 1 (1989).
26. M. V. Berry and M. Wilkinson, Proc. R. Soc. London, Ser. A 392, 15 (1984).
27. H. P. Breuer, K. Dietz, and M. Holthaus, Z. Phys. D 8, 349 (1988).
28. J. Henkel and M. Holthaus, Phys. Rev. A 45, 1978 (1992).
29. See Handbook of Mathematical Functions, Natl. Bur. Stand. Appl. Math. Ser. No. 55, edited by M. Abramowitz and I. A. Stegun (U. S. GPO, Washington, DC, 1968).
30. K. Husimi, Proc. Phys. Math. Soc. Jpn. 22, 248 (1940).
31. K. Takahashi, Prog. Theor. Phys. Suppl. 98, 109 (1989).
32. B. Crespi, G. Perez, and S.-J. Chang, Phys. Rev. E 47, 986 (1993).
33. Q. Jie, S.-J. Wang, and L.-F. Wei, Z. Phys. B 104, 373 (1997).