Bloch oscillations of cold atoms in two-dimensional optical lattices

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 67, Issue 6, 2003, Pages 636011-636019

  Kolovsky, A R ^a,b   Korsch, H J ^c  

^a MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

^b KIRENSKY INSTITUTE OF PHYSICS   (Russian Federation)

^c Rheinland Pfälzische Technische Universität Kaiserslautern Landau   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BANDWIDTH; COMPUTER SIMULATION; ENERGY GAP; OSCILLATIONS;

OPTICAL LATTICES;

QUANTUM THEORY;

EID: 18244401866     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (28)

1. F. Bloch, Z. Phys. 52, 555 (1928).
2. C. Zener, Proc. R. Soc. London, Ser. A 145, 523 (1934).
3. J. Feldmann et al., Phys. Rev. B 46, 7252 (1992).
4. K. Leo et al., Solid State Commun. 84, 943 (1992).
5. M. B. Dahan et al., Phys. Rev, Lett. 76, 4508 (1996).
6. S. R. Wilkinson et al., Phys. Rev. Lett. 76, 4512 (1996).
7. M. G. Raizen, C. Salomon, and Qian Niu, Phys. Today 50(7), 30 (1997).
8. B. P. Anderson and M. A. Kasevich, Science (Washington, DC, U.S.) 282, 1686 (1998).
9. O. Morsch et al., Phys. Rev. Lett. 87, 140402 (2001).
10. M. Greiner et al., Nature (London) 415, 39 (2002).
11. W. K. Hensinger et al., Nature (London) 412, 52 (2001).
12. Q. Thommen, J. C. Carreau, and V. Zehnle, Phys. Rev. A 65, 053406 (2002).
13. M. Glück, A. R. Kolovsky, and H. J. Korsch, Phys. Rep. 366, 103 (2002).
14. A. R. Kolovsky, J. Opt. B: Quantum Semiclassical Opt. 4, 218 (2002).
15. A. R. Kolovsky, A. V. Ponomarev, and H. J. Korsch, Phys. Rev. A 66, 053405 (2002).
16. Qian Niu and M. G. Raizen, Phys. Rev. Lett. 80, 3491 (1998).
17. M. Glück, F. Keck, A. R. Kolovsky, and H. J. Korsch, Phys. Rev. Lett. 86, 3116 (2001).
18. L. D. Landau, Phys. Z. Sowjetunion 1, 88 (1932); 2,46 (1932).
19. L. D. Landau, Phys. Z. Sowjetunion 1, 88 (1932); 2,46 (1932).
20. 1/2 for ε = 0. Let us also note that intermediate values of ε cannot be realized by using the laser beam configuration considered and thus are not discussed here.
21. k)|1〉
22. To be more precise, there are two alternative sets of the eigenfunctions in the case of a separable potential: the set of localized functions corresponding to infinitely degenerate discrete levels, and the set of Bloch-like functions corresponding to energy bands of zero width. In the case of nearest-neighbor hopping (the so-called von Neumann neighborhood) the latter were studied in Ref. [22]. See also the recent paper [23], which extends the results of Ref. [22] beyond the von Neumann neighborhood.
23. T. Nakanishi, T. Ohtsuki, and M. Saiton, J. Phys. Soc. Jpn. 62, 2773 (1993).
24. F. Keck and H. J. Korsch, J. Phys. A 35, L105 (2002).
25. 2/8ΔFd), respectively.
26. H. Fukuyama, R. A. Bari, and H. C. Fogedby, Phys. Rev. B 8, 5579 (1973).
27. T. Pertsch et al., Phys. Rev. Lett. 83, 4752 (1999).
28. M. Glück, F. Keck, A. R. Kolovsky, and H. J. Korsch, Phys. Rev. A 66, 023403 (2001).