Anomalous diffusion and Tsallis statistics in an optical lattice

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 67, Issue 5, 2003, Pages 514021-514024

  Lutz, Eric ^a  

^a YALE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; CRYSTAL LATTICES; HAMILTONIANS; PROBLEM SOLVING; QUANTUM OPTICS; STATISTICAL METHODS;

OPTICAL LATTICE; TSALLIS DISTRIBUTIONS;

ATOMIC PHYSICS;

EID: 0037769057     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (27)

1. M.F. Shlesinger, G.M. Zaslavsky, and J. Klafter, Nature (London) 363, 31 (1993).
2. P. Lévy, Théorie de l'Addition des Variables Aléatoires (Gauthiers-Villars, Paris, 1937).
3. Lévy Flights and Related Topics in Physics, edited by M. F. Shlesinger, G. M. Zaslavsky, and U. Frisch (Springer, Berlin, 1994).
4. A. Ott, J.-P. Bouchaud, D. Langevin, and W. Urbach, Phys. Rev. Lett. 65, 2201 (1990).
5. S. Stapf, R. Kimmich, and R.-O. Seitter, Phys. Rev. Lett. 75, 2855 (1995).
6. F. Bardou, J.-P. Bouchaud, A. Aspect, and C. Cohen-Tannoudji, Lévy Statistics and Laser Cooling (Cambridge University Press, Cambridge, 2002).
7. C. Tsallis, J. Stat. Phys. 52, 479 (1988).
8. For a recent review, see Nonextensive Statistical Mechanics and its Applications, edited by S. Abe and Y. Okamoto (Springer, Berlin, 2001).
9. M.S. Reis, J.C.C. Freitas, M.T.D. Orlando, E.K. Lenzi, and I.S. Oliveira, Europhys. Lett. 58, 42 (2002).
10. C. Beck, Europhys. Lett. 57, 329 (2002).
11. See, for instance, http://tsallis.cat.cbpf.br/biblio.htm
12. C. Beck, Phys. Rev. Lett. 87, 180601 (2001).
13. G. Grynberg and C. Robilliard, Phys. Rep. 355, 335 (2001).
14. H.J. Metcalf and P. Van Der Strafen, Laser Cooling and Trapping (Springer, Berlin, 1999).
15. Y. Castin, J. Dalibard, and C. Cohen-Tannoudji, in Light Induced Kinetic Effects on Atoms, Ions and Molecules, edited by L. Moi et al. (ETS Editrice, Pisa, 1991).
16. T.W. Hodapp, C. Gerz, C. Furtlehner, C.I. Westbrook, W.D. Phillips, and J. Dalibard, Appl. Phys. B: Lasers Opt. B60, 135 (1995).
17. C. Jurczak, B. Desruelle, K. Sengstock, J.-Y. Courtois, C.I. Westbrook, and A. Aspect, Phys. Rev. Lett. 77, 1727 (1996).
18. S. Marksteiner, K. Ellinger, and P. Zoller, Phys. Rev. A 53, 3409 (1996).
19. H. Katori, S. Schlipf, and H. Walther, Phys. Rev. Lett. 79, 2221 (1997).
20. L. Borland, Phys. Lett. A 245, 67 (1998).
21. J. Dalibard and C. Cohen-Tannoudji, J. Opt. Soc. Am. B 6, 2023 (1989).
22. D.A. Stariolo, Phys. Lett. A 185, 262 (1994).
23. C. Cohen-Tannoudji, Rev. Mod. Phys. 70, 707 (1998).
24. B. Saubamea, T.W. Hijmans, S. Kulin, E. Rasel, E. Peik, M. Leduc, and C. Cohen-Tannoudji, Phys. Rev. Lett. 79, 3146 (1997).
25. B. Saubamea, M. Leduc, and C. Cohen-Tannoudji, Phys. Rev. Lett. 83, 3796 (1999).
26. F. Lillo and R.N. Mantegna, Phys. Rev. Lett. 84, 1061 (2000); 84, 4516 (2000).
27. F. Lillo and R.N. Mantegna, Phys. Rev. Lett. 84, 1061 (2000); 84, 4516 (2000).