Effects of interaction on the diffusion of atomic matter waves in one-dimensional quasiperiodic potentials

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 80, Issue 5, 2009, Pages

  Larcher, M ^a   Dalfovo, F ^a   Modugno, M ^b  

^a UNIVERSITY OF TRENTO   (Italy)

^b UNIVERSITY OF FLORENCE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMIC GAS; COMPETING EFFECTS; DELOCALIZATIONS; GAUSSIAN WAVE PACKETS; INCOMMENSURATE LATTICE; INITIAL SHAPE; LATTICE SITES; MATTER WAVES; MEAN-FIELD EQUATIONS; QUASIPERIODIC POTENTIAL; SELF-TRAPPING; ULTRA-COLD; WEAK INTERACTIONS;

ATOMS; WAVE PACKETS; WAVES;

GAS CONDENSATES;

EID: 70450250145     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.80.053606     Document Type: Article

References (40)

1. J. Billy, V. Josse, Z. Zuo, A. Bernard, B. Hambrecht, P. Lugan, D. Clément, L. Sanchez-Palencia, P. Bouyer, and A. Aspect, Nature (London) 453, 891 (2008). 10.1038/nature07000
2. G. Roati, C. D'Errico, L. Fallani, M. Fattori, C. Fort, M. Zaccanti, G. Modugno, M. Modugno, and M. Inguscio, Nature (London) 453, 895 (2008). 10.1038/nature07071
3. P. W. Anderson, Phys. Rev. 109, 1492 (1958). 10.1103/PhysRev.109.1492
4. S. Aubry and G. Andrè, Ann. Isr. Phys. Soc. 3, 133 (1980).
5. P. G. Harper, Proc. Phys. Soc., London, Sect. A 68, 874 (1955). 10.1088/0370-1298/68/10/304
6. B. Deissler, M. Zaccanti, G. Roati, C. D'Errico, M. Fattori, M. Modugno, G. Modugno, and M. Inguscio, e-print arXiv:0910.5062.
7. G. Kopidakis, S. Komineas, S. Flach, and S. Aubry, Phys. Rev. Lett. 100, 084103 (2008). 10.1103/PhysRevLett.100.084103
8. A. S. Pikovsky and D. L. Shepelyansky, Phys. Rev. Lett. 100, 094101 (2008). 10.1103/PhysRevLett.100.094101
9. I. García-Mata and D. L. Shepelyansky, Phys. Rev. E 79, 026205 (2009). 10.1103/PhysRevE.79.026205
10. S. Flach, D. O. Krimer, and Ch. Skokos, Phys. Rev. Lett. 102, 024101 (2009). 10.1103/PhysRevLett.102.024101
11. Ch. Skokos, D. O. Krimer, S. Komineas, and S. Flach, Phys. Rev. E 79, 056211 (2009). 10.1103/PhysRevE.79.056211
12. T. Paul, M. Albert, P. Schlagheck, P. Leboeuf, and N. Pavloff, Phys. Rev. A 80, 033615 (2009). 10.1103/PhysRevA.80.033615
13. X. Deng, R. Citro, E. Orignac, and A. Minguzzi, Eur. Phys. J. B 68, 435 (2009). 10.1140/epjb/e2009-00069-7
14. S. K. Adhikari and L. Salasnich, Phys. Rev. A 80, 023606 (2009). 10.1103/PhysRevA.80.023606
15. G. S. Ng and T. Kottos, Phys. Rev. B 75, 205120 (2007). 10.1103/PhysRevB.75.205120
16. Y. Lahini, R. Pugatch, F. Pozzi, M. Sorel, R. Morandotti, N. Davidson, and Y. Silberberg, Phys. Rev. Lett. 103, 013901 (2009). 10.1103/PhysRevLett.103. 013901
17. A. Trombettoni and A. Smerzi, Phys. Rev. Lett. 86, 2353 (2001). 10.1103/PhysRevLett.86.2353
18. M. Modugno, New J. Phys. 11, 033023 (2009). 10.1088/1367-2630/11/3/033023
19. The inclusion of corrections to the tight-binding approximation, due to next-nearest-neighbor hopping, is discussed by J. Biddle, B. Wang, D. J. Priour, and S. Das Sarma, Phys. Rev. A 80, 021603 (R) (2009). 10.1103/PhysRevA.80. 021603
20. J. E. Lye, L. Fallani, C. Fort, V. Guarrera, M. Modugno, D. S. Wiersma, and M. Inguscio, Phys. Rev. A 75, 061603 (R) (2007). 10.1103/PhysRevA.75.061603
21. L. Fallani, J. E. Lye, V. Guarrera, C. Fort, and M. Inguscio, Phys. Rev. Lett. 98, 130404 (2007). 10.1103/PhysRevLett.98.130404
22. D. J. Boers, B. Goedeke, D. Hinrichs, and M. Holthaus, Phys. Rev. A 75, 063404 (2007). 10.1103/PhysRevA.75.063404
23. L. P. Pitaevskii, Sov. Phys. JETP 13, 451 (1961).
24. E. P. Gross, Nuovo Cimento 20, 454 (1961). 10.1007/BF02731494
25. G.-L. Ingold, A. Wobst, Ch. Aulbach, and P. Hänggi, Eur. Phys. J. B 30, 175 (2002). 10.1140/epjb/e2002-00372-9
26. A different interpretation has been recently proposed by M. Albert and P. Leboeuf, e-print arXiv:0905.2331.
27. C. Tang and M. Kohmoto, Phys. Rev. B 34, 2041 (1986). 10.1103/PhysRevB.34.2041
28. H. Hiramoto and M. Kohmoto, Int. J. Mod. Phys. B 6, 281 (1992). 10.1142/S0217979292000153
29. H. Hiramoto and S. Abe, J. Phys. Soc. Jpn. 57, 1365 (1988). 10.1143/JPSJ.57.1365
30. A linear fit of the width w (τ) at the transition time τ, as a function of the spatial periodicity, gives [w (τ)] (qn) =a qn +b, with a=0.547 (4) and b=0.8 (2). The times τ 's and the relative widths w (τ) 's have been determined by fitting the subdiffusive behavior of the incommensurate case and the linear behaviors of the commensurate cases and finding the intersection points between these two fits.
31. The time scale of experimental observation is typically less than 1000 in our dimensionless units for the experiments in Ref., where the value 1032/862 has been used for α.
32. Th. Anker, M. Albiez, R. Gati, S. Hunsmann, B. Eiermann, A. Trombettoni, and M. K. Oberthaler, Phys. Rev. Lett. 94, 020403 (2005). 10.1103/PhysRevLett. 94.020403
33. M. Johansson, M. Hörnquist, and R. Riklund, Phys. Rev. B 52, 231 (1995). 10.1103/PhysRevB.52.231
34. M. Rosenkranz, D. Jaksch, F. Y. Lim, and W. Bao, Phys. Rev. A 77, 063607 (2008). 10.1103/PhysRevA.77.063607
35. A. Smerzi, S. Fantoni, S. Giovanazzi, and S. R. Shenoy, Phys. Rev. Lett. 79, 4950 (1997) 10.1103/PhysRevLett.79.4950
36. S. Raghavan, A. Smerzi, S. Fantoni, and S. R. Shenoy, Phys. Rev. A 59, 620 (1999) 10.1103/PhysRevA.59.620
37. F. Meier and W. Zwerger, Phys. Rev. A 64, 033610 (2001). 10.1103/PhysRevA.64.033610
38. M. Albiez, R. Gati, J. Fölling, S. Hunsmann, M. Cristiani, and M. K. Oberthaler, Phys. Rev. Lett. 95, 010402 (2005) 10.1103/PhysRevLett.95.010402
39. S. Levy, E. Lahoud, I. Shomroni, and J. Steinhauer, Nature (London) 449, 579 (2007). 10.1038/nature06186
40. When λ>2 and the interaction strength β is of the order of or larger than the upper bound found by energy conservation arguments, we find that the self-trapping can be so strong to suppress also the growth of the width w (t) (see also).