Control of dynamical localization by an additional quantum degree of freedom

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 59, Issue 1, 1999, Pages 797-802

  Riedel, K ^a   Torma P ^a   Savichev, V ^a   Schleich, W P ^a  

^a UNIVERSITY OF ULM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000273761     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.59.797     Document Type: Article

References (43)

1. A. Lagendijk and B. A. van Tiggelen, Phys. Rep. 270, 143 (1996).
2. P. W. Anderson, Phys. Rev. 109, 1492 (1958).
3. For a review see, for example, P. M. Koch and K. A. H. van Leeuwen, Phys. Rep. 255, 289 (1995)
4. G. Casati, Phys. Rev. A 45, 7670 (1992).
5. F. L. Moore, J. C. Robinson, C. Bharucha, P. E. Williams, and M. G. Raizen, Phys. Rev. Lett. 73, 2974 (1994)
6. theoretical proposal in R. Graham, M. Schlautmann, and P. Zoller, Phys. Rev. A 45, R19 (1992).
7. F. Haake, Quantum Signatures of Chaos (Springer-Verlag, Berlin, 1992).
8. Quantum Chaos, edited by G. Casati and B. Chirikov (Cambridge University Press, Cambridge, 1995).
9. W. Paul, Rev. Mod. Phys. 62, 531 (1990).
10. M. El Ghafar, P. Törmä, V. Savichev, E. Mayr, A. Zeiler, and W. P. Schleich, Phys. Rev. Lett. 78, 4181 (1997).
11. J. C. Robinson, C. Bharucha, F. L. Moore, R. Jahnke, G. A. Georgaki, M. G. Raizen, and B. Sundaram, Phys. Rev. Lett. 74, 3963 (1995).
12. P. J. Bardroff, I. Bialynicki-Birula, D. S. Krähmer, G. Kurizki, E. Mayr, P. Stifter, and W. P. Schleich, Phys. Rev. Lett. 74, 3959 (1995).
13. In the work of R. Graham and S. Miyazaki, Phys. Rev. A 53, 2683 (1996), the problem of atoms in a phase-modulated standing wave was considered without the adiabatic elimination of the upper state. However, the emphasis of that paper was on spontaneous emission, not on the effect of an additional quantum degree of freedom.
14. For experimental studies of the effect of noise and dissipation on dynamical localization see M. Arndt, A. Buchleitner, R. N. Mantegna, and H. Walther, Phys. Rev. Lett. 67, 2435 (1991)
15. Phys. Rev. Lett.F. L. Moore, J. C. Robinson, C. Bharucha, B. Sundaram, and M. G. Raizen, 75, 4598 (1995)
16. R. Blümel, A. Buchleitner, R. Graham, L. Sirko, U. Smilansky, and H. Walther, Phys. Rev. A 44, 4521 (1991)
17. H. Ammann, R. Gray, I. Shvarchuck, and N. Christensen, Phys. Rev. Lett. 80, 4111 (1998)
18. Phys. Rev. Lett.B. G. Klappauf, W. H. Oskay, D. A. Steck, and M. G. Raizen, 81, 1203 (1998).
19. D. M. Meekhof, C. Monroe, B. E. King, W. M. Itano, and D. J. Wineland, Phys. Rev. Lett. 76, 1796 (1996)
20. C. Monroe, D. M. Meekhof, B. E. King, and D. J. Wineland, Science 272, 1131 (1996)
21. D. Leibfried, D. M. Meekhof, B. E. King, C. Monroe, W. M. Itano, and D. J. Wineland, Phys. Rev. Lett. 77, 4281 (1996).
22. G. Birkl, J. A. Yeazell, R. Rückerl, and H. Walther, Europhys. Lett. 27, 197 (1994)
23. H. Katori, S. Schlipf, and H. Walther, Phys. Rev. Lett. 79, 2221 (1997).
24. B. Appasamy, Y. Stalgies, and P. E. Toschek, Phys. Rev. Lett. 80, 2805 (1998).
25. R. Dum, A. S. Parkins, P. Zoller, and C. W. Gardiner, Phys. Rev. A 46, 4382 (1992)
26. K. Mølmer, Y. Castin, and J. Dalibard, J. Opt. Soc. Am. B 10, 524 (1993).
27. H. Carmichael, An Open System Approach to Quantum Optics (Springer-Verlag, Berlin, 1991).
28. J. Javanainen and S. Stenholm, Appl. Phys. 21, 35 (1980).
29. For more information about the classical dynamics of this system see R. Chacón and J. I. Cirac, Phys. Rev. A 51, 4900 (1994)
30. M. El Ghafar, E. Mayr, V. Savichev, P. Törmä, A. Zeiler, and W. P. Schleich, J. Mod. Opt. 44, 1985 (1997).
31. M. D. Feit, J. A. Fleck, and A. Steiger, J. Comput. Phys. 47, 412 (1982).
32. K. Riedel, Diplomarbeit, Universität Ulm, 1997 (unpublished).
33. G. M. Zaslavsky, Chaos in Dynamic Systems (Harwood Academic, Chur, 1985).
34. In deriving these equations we have assumed that the quantum-mechanical position distribution is very narrow and localized near the classical trajectory (Formula presented) This property allows us to take the slowly varying cosine potential out of the integrals.
35. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, Cambridge, 1995).
36. A. P. Kazantsev, G. I. Surdutovich, and V. P. Yakovlev, Mechanical Action of Light on Atoms (World Scientific, Singapore, 1990).
37. P. J. Bardroff, C. Leichtle, G. Schrade, and W. P. Schleich, Phys. Rev. Lett. 77, 2198 (1996)
38. P. J. BardroffC. LeichtleG. SchradeW. P. SchleichActa Phys. Slov. 46, 231 (1996).
39. R. J. Glauber, in Laser Manipulation of Atoms and Ions, Proceedings of the International School of Physics “Enrico Fermi, ” Course CXVIII, Varenna, 1991, edited by E. Arimondo, W. D. Phillips, and F. Strumia (North-Holland, Amsterdam, 1992)
40. see also G. Schrade, P. J. Bardroff, R. J. Glauber, C. Leichtle, V. Yakovlev, and W. P. Schleich, Appl. Phys. B: Lasers Opt. 64, 181 (1997).
41. There is a close similarity between such type behavior and the so-called Fano resonance: U. Fano, Phys. Rev. 124, 1866 (1961).
42. S. R. Jefferts, C. Monroe, E. W. Bell, and D. J. Wineland, Phys. Rev. A 51, 3112 (1995).
43. P. Goetsch and R. Graham, Phys. Rev. A 54, 5345 (1996).