Coherent manipulation of quantum δ-kicked dynamics: Faster-than-classical anomalous diffusion

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 68, Issue 2 2, 2003, Pages

  Gong, Jiangbin ^a   Wörner, Hans Jakob ^a   Brumer, Paul ^a  

^a UNIVERSITY OF TORONTO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; DIFFUSION; EIGENVALUES AND EIGENFUNCTIONS; ENERGY ABSORPTION; HAMILTONIANS; MATHEMATICAL MODELS; MOLECULAR DYNAMICS; PHASE SPACE METHODS; QUANTUM INTERFERENCE PHENOMENA;

MODIFIED KICKED-ROTOR MODEL; QUANTUM CHAOS; QUANTUM CLASSICAL CORRESPONDENCE; QUANTUM CONTROL;

QUANTUM THEORY;

EID: 37649028548     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (28)

1. G. Casati and B. Chirikov, Quantum Chaos: Between Order and Disorder (Cambridge University Press, New York, 1995).
2. F.L. Moore et al., Phys. Rev. Lett. 75, 4598 (1995)
3. H. Ammann et al., ibid. 80, 4111 (1998)
4. J. Ringot et al., ibid. 85, 2741 (2000)
5. M.B. d'Arcy et al., ibid. 87, 074102 (2001).
6. R. Blümel, S. Fishman, and U. Smilansky, J. Chem. Phys. 84, 2604 (1986).
7. I.Sh. Averbukh and R. Arvieu, Phys. Rev. Lett. 87, 163601 (2001).
8. G. Casati, I. Guarneri, and G. Maspero, Phys. Rev. Lett. 84, 63 (1999).
9. P. Facchi, S. Pascazio, and A. Scardicchio, Phys. Rev. Lett. 83, 61 (1999).
10. B. Georgeot and D.L. Shepelyansky, Phys. Rev. Lett. 86, 2890 (2001).
11. R. Roncaglia et al., Phys. Rev. E 51, 5524 (1995).
12. B.G. Klappauf et al., Phys. Rev. Lett. 81, 4044 (1998).
13. B. Sundaram and G.M. Zaslavsky, Phys. Rev. E 59, 7231 (1999).
14. A. Iomin, S. Fishman, and G. Zaslavsky, Phys. Rev. E 65, 036215 (2002).
15. L. Hufnagel et al., Phys. Rev. Lett. 89, 154101 (2002).
16. J. Gong and P. Brumer, Phys. Rev. Lett. 86, 1741 (2001)
17. J. Gong and P. Brumer, J. Chem. Phys. 115, 3590 (2001).
18. J. Gong and P. Brumer, Phys. Rev. Lett. 88, 203001 (2002).
19. Our modified kicked-rotor model can be regarded as a specific realization of the so-called generalized kicked-rotor model, which was first introduced, in the context of quantum anti-resonance, by I. Dana, E. Eisenberg, and N. Shnerb, Phys. Rev. E 54, 5948 (1996).
20. M. Shapiro and P. Brumer, Principles of the Quantum Control of Molecular Processes (Wiley, New York, 2003)
21. M. Shapiro and P. Brumer, Adv. At., Mol., Opt. Phys. 42, 287 (2000)
22. S.A. Rice and M. Zhao, Optical Control of Molecular Dynamics (Wiley, New York, 2000).
23. R. Lima and D.L. Shepelyansky, Phys. Rev. Lett. 67, 1377 (1991).
24. S. Fishman, I. Guarneri, and L. Rebuzzini, Phys. Rev. Lett. 89, 084101 (2002)
25. S. Schlunk et al., e-print physics/0212015.
26. D.L. Shepelyansky, Physica D 8, 208 (1983).
27. G. Casati, I. Guarner, and D.L. Shepelyansky, Phys. Rev. Lett. 62, 345 (1989).
28. J. Gong, H.J. Wörner, and P. Brumer (unpublished).