Anomalous spatial diffusion and multifractality in optical lattices

Physical Review Letters

Volumn 108, Issue 23, 2012, Pages

  Dechant, Andreas ^a,b   Lutz, Eric ^a,b  

^a UNIVERSITY OF AUGSBURG   (Germany)

^b FREIE UNIVERSITÄT BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COLD ATOMS; HIGHER ORDER; MOMENTUM RELAXATION; MULTI-FRACTAL PROPERTY; MULTIFRACTALITY; NON-MARKOVIAN EQUATIONS; NONSTATIONARY; OPERATOR METHOD; OPTICAL LATTICES; POSITION VARIABLES; SMOLUCHOWSKI EQUATION; SPATIAL DIFFUSIONS; SYSTEMATIC EXPANSION;

OPTICAL MATERIALS;

CRYSTAL LATTICES;

EID: 84862215138     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.108.230601     Document Type: Article

References (29)

1. M.F. Shlesinger, G.M. Zaslavsky, and J. Klafter, Nature (London) 363, 31 (1993). NATUAS 0028-0836 10.1038/363031a0
2. G. Grynberg and C. Robilliard, Phys. Rep. 355, 335 (2001). PRPLCM 0370-1573 10.1016/S0370-1573(01)00017-5
3. E. Lutz, Phys. Rev. A 67, 051402(R) (2003); PLRAAN 1050-2947 10.1103/PhysRevA.67.051402
4. E. Lutz Phys. Rev. Lett. 93, 190602 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.190602
5. Y. Castin, J. Dalibard, and C. Cohen-Tannoudji, in Light Induced Kinetic Effects on Atoms, Ions and Molecules, edited by, L. Moi, (ETS Editrice, Pisa, 1991).
6. S. Marksteiner, K. Ellinger, and P. Zoller, Phys. Rev. A 53, 3409 (1996). PLRAAN 1050-2947 10.1103/PhysRevA.53.3409
7. L. Perotti, V. Alekseev, and H. Walther, Opt. Commun. 183, 73 (2000). OPCOB8 0030-4018 10.1016/S0030-4018(00)00822-1
8. T.W. Hodapp, C. Gerz, C. Furtlehner, C.I. Westbrook, W.D. Phillips, and J. Dalibard, Appl. Phys. B 60, 135 (1995). APBOEM 0946-2171 10.1007/BF01135855
9. P. Douglas, S. Bergamini, and F. Renzoni, Phys. Rev. Lett. 96, 110601 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.110601
10. H. Katori, S. Schlipf, and H. Walther, Phys. Rev. Lett. 79, 2221 (1997). PRLTAO 0031-9007 10.1103/PhysRevLett.79.2221
11. Y. Sagi, M. Brook, I. Almog, and N. Davidson, Phys. Rev. Lett. 108, 093002 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.093002
12. C.W. Gardiner, Phys. Rev. A 29, 2814 (1984). PLRAAN 0556-2791 10.1103/PhysRevA.29.2814
13. C.W. Gardiner, Handbook of Stochastic Methods (Springer, Berlin, 1985).
14. D.A. Kessler and E. Barkai, Phys. Rev. Lett. 105, 120602 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.120602
15. H. Risken and H.D. Vollmer, Z. Phys. B 35, 313 (1979). 0340-224X 10.1007/BF01319854
16. C.R. Doering, P.S. Hagan, and P. Rosenau, Phys. Rev. A 36, 985 (1987). PLRAAN 0556-2791 10.1103/PhysRevA.36.985
17. N.G. van Kampen, Can. J. Phys. 39, 551 (1961). CJPHAD 0008-4204 10.1139/p61-056
18. A.V. Plyukhin, Europhys. Lett. 75, 15 (2006). EULEEJ 0295-5075 10.1209/epl/i2006-10072-2
19. A.V. Plyukhin Phys. Rev. E 77, 061136 (2008). PRESCM 1539-3755 10.1103/PhysRevE.77.061136
20. D.A. Kessler and E. Barkai, arXiv:1202.0701 [Phys. Rev. Lett. (to be published)].
21. A. Dechant, E. Lutz, D.A. Kessler, and E. Barkai, Phys. Rev. Lett. 107, 240603 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.240603
22. A. Dechant and E. Lutz (to be published).
23. A.I. Saichev and G.M. Zaslavsky, Chaos 7, 753 (1997). CHAOEH 1054-1500 10.1063/1.166272
24. S.G. Samko, A.A. Kilbas, and O.I. Marichev, Fractional Integrals and Derivatives, Theory and Applications (Gordon and Breach, Amsterdam, 1993).
25. R. Metzler and J. Klafter, Europhys. Lett. 51, 492 (2000). EULEEJ 0295-5075 10.1209/epl/i2000-00364-5
26. D. Sornette, Critical Phenomena in Natural Sciences (Springer, Berlin, 2006).
27. H.E. Stanley and P. Meakin, Nature (London) 335, 405 (1988). NATUAS 0028-0836 10.1038/335405a0
28. J.-P. Bouchaud, M. Potters, and M. Meyer, Eur. Phys. J. B 13, 595 (2000). EPJBFY 1434-6028
29. G. Paladin and A. Vulpiani, Phys. Rep. 156, 147 (1987). PRPLCM 0370-1573 10.1016/0370-1573(87)90110-4