Quantum localization for a kicked rotor with accelerator mode islands

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 65, Issue 3, 2002, Pages

  Iomin, A ^a   Fishman, S ^a   Zaslavsky, G M ^b,c  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^b NEW YORK UNIVERSITY   (United States)

^c POLYTECHNIC UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CLASSICAL SUPERDIFFUSION; KICKED ROTORS; QUANTUM LOCALIZATION; QUANTUM TUNNELING;

CHAOS THEORY; HAMILTONIANS; MATHEMATICAL MODELS; PARTICLE ACCELERATORS; PROBABILITY; QUANTUM THEORY;

ROTORS;

EID: 41349092922     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.036215     Document Type: Article

References (45)

1. A. J. Lichtenberg and M. A. Lieberman, Regular and Stochastic Motion (Springer, New York, 1983).
2. B.V. Chirikov, Phys. Rep. 52, 263 (1979).
3. A.B. Rechester and R.B. White, Phys. Rev. Lett. 44, 1586 (1980).
4. R. Balescu, Statistical Dynamics, Matter out of Equilibrium (Imperial College Press, Singapore, 1997).
5. M. Khodas and S. Fishman, Phys. Rev. Lett. 84, 2837 (2000);
6. M. Khodas, S. Fishman and O. Agam, Phys. Rev. E 62, 4769 (2000).
7. G. Casati, B. V. Chirikov, F. M. Izrailev and J. Ford, in Stochastic Behavior in Classical and Quantum Hamiltonian Systems, edited by G. Casati and J. Ford (Springer, New York, 1979).
8. S. Fishman, D.R. Grempel, and R.E. Prange, Phys. Rev. Lett. 49, 509 (1982);
9. D.R. Grempel, R.E. Prange, and S. Fishman, Phys. Rev. A 29, 1639 (1984).
10. C.F.F. Karney, Physica D 8, 360 (1983).
11. V. K. Melnikov, in Transport, Chaos and Plasma Physics, II, Proceedings, Marseille, edited by F. Doveil, S. Benkadda, and Y. Elskens (World Scientific, Singapore, 1996), p. 142.
12. V. Rom-Kedar and G.M. Zaslavsky, Chaos 9, 697 (1999).
13. S. Newhous, Am. J. Math. 99, 1061 (1977).
14. J.D. Meiss, Physica D 6, 375 (1983).
15. J.D. Meiss, Phys. Rev. A 34, 2375 (1986);
16. J.D. MeissRev. Mod. Phys. 64, 795 (1992).
17. G.M. Zaslavsky, M. Edelman, and B.A. Niyazov, Chaos 7, 159 (1997).
18. G.M. Zaslavsky and M. Edelman, Chaos 10, 135 (2000).
19. S. Benkadda, S. Kassibrakis, R. White, and G. Zaslavsky, Phys. Rev. E 55, 4909 (1997);
20. Phys. Rev. ES. BenkaddaS. KassibrakisR. WhiteG. Zaslavsky59, 3761 (1999).
21. J.D. Hanson, E. Ott, and T.M. Antonsen, Phys. Rev. A 29, 819 (1984).
22. B.V. Chirikov, F.M. Izrailev, and D.L. Shepelyansky, Sov. Sci. Rev. C2, 209 (1981).
23. D. Shepelyansky, Physica D 28, 103 (1987).
24. S. Fishman, R.E. Prange, and M. Griniasty, Phys. Rev. A 39, 1628 (1989).
25. B. Sundaram and G.M. Zaslavsky, Phys. Rev. E 59, 7231 (1999).
26. A. Iomin and G.M. Zaslavsky, Chaos 10, 147 (2000).
27. A. Iomin and G.M. Zaslavsky, Phys. Rev. E 60, 7580 (1999).
28. R. Roncaglia, L. Bonci, B.J. West, and P. Grigolini, Phys. Rev. E 51, 5524 (1995);
29. L. Bonci, P. Grigolini, A. Laux, and R. Roncaglia, Phys. Rev. A 54, 112 (1996).
30. A. Iomin and G. M. Zaslavsky (unpublished).
31. R. Artuso and M. Rusconi, Phys. Rev. E 64, 015204(R) (2001).
32. Numerical studies of quantum localization of anomalous diffusion in a discontinuous map were recently reported in T. Prosen and M. Z̃nidaric̃ (unpublished).
33. B.G. Klappauf, W.H. Oskay, D.A. Steck, and M.G. Raizen, Phys. Rev. Lett. 81, 4044 (1999).
34. S. Fishman, D.R. Grempel, and R.E. Prange, Phys. Rev. A 36, 289 (1987);
35. D.R. Grempel, S. Fishman, and R.E. Prange, Phys. Rev. Lett. 53, 1212 (1984).
36. Y.-C. Lai, E. Ott, and C. Grebogi, Phys. Lett. A 173, 148 (1993).
37. A. Iomin and G.M. Zaslavsky, Phys. Rev. E 63, 047203 (2001).
38. R.B. Shirts and W.P. Reinhardt, J. Chem. Phys. 77, 5204 (1982).
39. T. Geisel, G. Radons, and J. Rubner, Phys. Rev. Lett. 57, 2883 (1986).
40. R.S. MacKay and J.D. Meiss, Phys. Rev. A 37, 4702 (1988).
41. F.M. Izrailev and D.L. Shepelyansky, Dokl. Akad. Nauk UzSSR 249, 1103 (1979);
42. F.M. IzrailevD.L. ShepelyanskyTher. Mat. Fiz. 43, 417 (1980).
43. M. Abramovitz and I. Stegun, Handbook of Mathematical Functions (Washington, 1968).
44. R. Ketzmerick, L. Hufnagel, F. Steinbach, and M. Weiss (unpublished).
45. E. Ott and R. E. Prange (private communication).