Quantitative study of amplitude noise effects on dynamical localization

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

Volumn 62, Issue 3 A, 2000, Pages 3461-3475

  Steck, Daniel A ^a   Milner, Valery ^a   Oskay, Windell H ^a   Raizen, Mark G ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC NOISE; ATOMS; CHAOS THEORY; CONTINUUM MECHANICS; MATHEMATICAL MODELS; OPTICAL CORRELATION; ROTORS;

COLD ATOMS; DYNAMICAL LOCALIZATION;

QUANTUM THEORY;

EID: 0034270043     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.62.3461     Document Type: Article

References (58)

1. R. Blümel and W. P. Reinhardt, Chaos in Atomic Physics (Cambridge University Press, Cambridge, 1997).
2. Wojciech Hubert Zurek and Juan Pablo Paz, Phys. Rev. Lett. 72, 2508 (1994).
3. K. Shiokawa and B.L. Hu, Phys. Rev. E 52, 2497 (1995).
4. E. Ott, T.M. Antonsen, Jr., and J.D. Hanson, Phys. Rev. Lett. 53, 2187 (1984).
5. T. Dittrich and R. Graham, Europhys. Lett. 4, 263 (1987).
6. S. Fishman, and D.L. Shepelyansky, Europhys. Lett. 16, 643 (1991).
7. Doron Cohen, Phys. Rev. A 44, 2292 (1991).
8. S. Dyrting and G.J. Milburn, Phys. Rev. A 51, 3136 (1995).
9. Jiangbin Gong and Paul Brumer, Phys. Rev. E 60, 1643 (1999).
10. R. Blümel, R. Graham, L. Sirko, U. Smilansky, H. Walther, and K. Yamada, Phys. Rev. Lett. 62, 341 (1989); M. Arndt, A. Buchleitner, R.N. Mantegna, and H. Walther, ibid. 67, 2435 (1991); R. Blümel, A. Buchleitner, R. Graham, L. Sirko, U. Smilansky, and H. Walther, Phys. Rev. A 44, 4521 (1991); O. Benson, A. Buchleitner, G. Raithel, M. Arndt, R.N. Mantegna, and H. Walther, ibid. 51, 4862 (1995).
11. R. Blümel, R. Graham, L. Sirko, U. Smilansky, H. Walther, and K. Yamada, Phys. Rev. Lett. 62, 341 (1989); M. Arndt, A. Buchleitner, R.N. Mantegna, and H. Walther, ibid. 67, 2435 (1991); R. Blümel, A. Buchleitner, R. Graham, L. Sirko, U. Smilansky, and H. Walther, Phys. Rev. A 44, 4521 (1991); O. Benson, A. Buchleitner, G. Raithel, M. Arndt, R.N. Mantegna, and H. Walther, ibid. 51, 4862 (1995).
12. R. Blümel, R. Graham, L. Sirko, U. Smilansky, H. Walther, and K. Yamada, Phys. Rev. Lett. 62, 341 (1989); M. Arndt, A. Buchleitner, R.N. Mantegna, and H. Walther, ibid. 67, 2435 (1991); R. Blümel, A. Buchleitner, R. Graham, L. Sirko, U. Smilansky, and H. Walther, Phys. Rev. A 44, 4521 (1991); O. Benson, A. Buchleitner, G. Raithel, M. Arndt, R.N. Mantegna, and H. Walther, ibid. 51, 4862 (1995).
13. R. Blümel, R. Graham, L. Sirko, U. Smilansky, H. Walther, and K. Yamada, Phys. Rev. Lett. 62, 341 (1989); M. Arndt, A. Buchleitner, R.N. Mantegna, and H. Walther, ibid. 67, 2435 (1991); R. Blümel, A. Buchleitner, R. Graham, L. Sirko, U. Smilansky, and H. Walther, Phys. Rev. A 44, 4521 (1991); O. Benson, A. Buchleitner, G. Raithel, M. Arndt, R.N. Mantegna, and H. Walther, ibid. 51, 4862 (1995).
14. James E. Bayfield, Chaos 1, 110 (1991).
15. L. Sirko, M.R.W. Bellermann, A. Haffmans, P.M. Koch, and D. Richards, Phys. Rev. Lett. 71, 2895 (1993).
16. Peter M. Koch, Physica D 83, 178 (1995).
17. L. Sirko, A. Haffmans, M.R.W. Bellermann, and P.M. Koch, Europhys. Lett. 33, 181 (1996).
18. R.M. Clarke, I.H. Chan, C.M. Marcus, C.I. Duruöz, J.S. Harris, Jr., K. Campman, and A.C. Gossard, Phys. Rev. B 52, 2656 (1995).
19. B.G. Klappauf, W.H. Oskay, D.A. Steck, and M.G. Raizen, Phys. Rev. Lett. 81, 1203 (1998); 82, 241(E) (1999).
20. B.G. Klappauf, W.H. Oskay, D.A. Steck, and M.G. Raizen, Phys. Rev. Lett. 81, 1203 (1998); 82, 241(E) (1999).
21. H. Ammann, R. Gray, I. Shvarchuck, and N. Christensen, Phys. Rev. Lett. 80, 4111 (1998); also see the Comment by S. Habib, H. Mahuchi, K. Shizume, and B. Sundaram (unpublished).
22. H. Ammann, R. Gray, I. Shvarchuck, and N. Christensen, Phys. Rev. Lett. 80, 4111 (1998); also see the Comment by S. Habib, H. Mahuchi, K. Shizume, and B. Sundaram (unpublished).
23. M.S. Chapman, T.D. Hammond, A. Lenef, J. Schmiedmayer, R.A. Rubenstein, E. Smith, and D.E. Pritchard, Phys. Rev. Lett. 75, 3783 (1995).
24. M. Brune, E. Hagley, J. Dreyer, X. Maître, A. Maali, C. Wunderlich, J.M. Raimond, and S. Haroche, Phys. Rev. Lett. 77, 4887 (1996).
25. C. Monroe, D.M. Meekhof, B.E. King, and D.J. Wineland, Science 272, 1131 (1996).
26. R. Graham, M. Schlautmann, and P. Zoller, Phys. Rev. A 45, R19 (1992).
27. F.L. Moore, J.C. Robinson, C. Bharucha, P.E. Williams, and M.G. Raizen, Phys. Rev. Lett. 73, 2974 (1994).
28. J.C. Robinson, C. Bharucha, F.L. Moore, R. Jahnke, G.A. Georgakis, Q. Niu, M.G. Raizen, and Bala Sundaram, Phys. Rev. Lett. 74, 3963 (1995).
29. F.L. Moore, J.C. Robinson, C.F. Bharucha, Bala Sundaram, and M.G. Raizen, Phys. Rev. Lett. 75, 4598 (1995).
30. B.G. Klappauf, W.H. Oskay, D.A. Steck, and M.G. Raizen, Physica D 131, 78 (1999).
31. J.P. Gordon and A. Ashkin, Phys. Rev. A 21, 1606 (1980).
32. B.V. Chirikov, Phys. Rep. 52, 264 (1979).
33. A.B. Rechester and R.B. White, Phys. Rev. Lett. 44, 1586 (1980).
34. A.B. Rechester, M.N. Rosenbluth, and R.B. White, Phys. Rev. A 23, 2664 (1981).
35. A. J. Lichtenberg and M.A. Lieberman, Regular and Chaotic Dynamics (Springer-Verlag, New York, 1992).
36. Joseph Klafter, Michael F. Schlesinger, and Gert Zumofen, Phys. Today 49(2), 33 (1996).
37. B.V. Chirikov and D.L. Shepelyansky, Physica D 13, 395 (1984).
38. T. Geisel, A. Zacherl, and G. Radons, Phys. Rev. Lett. 59, 2503 (1987); B.V. Chirikov and D.L. Shepelyansky, ibid. 61, 1039 (1988); T. Geisel, A. Zacherl, and G. Radons, ibid. 61, 1040 (1988).
39. T. Geisel, A. Zacherl, and G. Radons, Phys. Rev. Lett. 59, 2503 (1987); B.V. Chirikov and D.L. Shepelyansky, ibid. 61, 1039 (1988); T. Geisel, A. Zacherl, and G. Radons, ibid. 61, 1040 (1988).
40. T. Geisel, A. Zacherl, and G. Radons, Phys. Rev. Lett. 59, 2503 (1987); B.V. Chirikov and D.L. Shepelyansky, ibid. 61, 1039 (1988); T. Geisel, A. Zacherl, and G. Radons, ibid. 61, 1040 (1988).
41. S. Benkadda, S. Kassibrakis, R.B. White, and G.M. Zaslavsky, Phys. Rev. E 55, 4909 (1997).
42. Bala Sundaram and G.M. Zaslavsky, Phys. Rev. E 59, 7231 (1999).
43. G.M. Zaslavsky, M. Edelman, and B.A. Niyazov, Chaos 7, 159 (1997).
44. George M. Zaslavsky, Phys. Today 52(8), 39 (1999).
45. Alexander I. Saichev and George M. Zaslavsky, Chaos 7, 753 (1997).
46. R. Blümel, S. Fishman, and U. Smilansky, J. Chem. Phys. 84, 2604 (1986).
47. G. Casati, B. V. Chirikov, J. Ford, and F. M. Izrailev, Stochastic Behaviour in Classical and Quantum Hamiltonian Systems, edited by G. Casati and J. Ford, Lecture Notes in Physics Vol. 93 (Springer, Berlin, 1979).
48. D.L. Shepelyansky, Physica D 8, 208 (1983).
49. T. Hogg and B.A. Huberman, Phys. Rev. Lett. 48, 711 (1982).
50. Shmuel Fishman, D.R. Grempel, and R.E. Prange, Phys. Rev. Lett. 49, 509 (1982).
51. D.R. Grempel, R.E. Prange, and Shmuel Fishman, Phys. Rev. A 29, 1639 (1984).
52. Shmuel Fishman, in Quantum Dynamics of Simple Systems: The Forty-Fourth Scottish Universities Summer School in Physics, Stirling, 1994, edited by G. L. Oppo, S. M. Barnett, E. Riis, and M. Wilkinson (Scottish Universities Summer School in Physics & Institute of Physics Publishing, Bristol, 1996).
53. D.L. Shepelyansky, Theor. Math. Phys. 49, 925 (1982).
54. D.L. Shepelyansky, Physica D 28, 103 (1987).
55. B.G. Klappauf, W.H. Oskay, D.A. Steck, and M.G. Raizen, Phys. Rev. Lett. 81, 4044 (1998).
56. Steven Chu, Science 253, 861 (1991).
57. W. Petrich, M.H. Anderson, J.R. Ensher, and E.A. Cornell, J. Opt. Soc. Am. B 11, 1332 (1994).
58. C.G. Townsend, N.H. Edwards, C.J. Cooper, K.P. Zetie, C.J. Foot, A.M. Steane, P. Szriftgiser, H. Perrin, and J. Dalibard, Phys. Rev. A 52, 1423 (1995).