Simulating cyclotron-Bloch dynamics of a charged particle in a 2D lattice by means of cold atoms in driven quasi-1D optical lattices

Frontiers of Physics

Volumn 7, Issue 1, 2012, Pages 3-7

  Kolovsky, Andrey R ^a,b  

^a KIRENSKY INSTITUTE OF PHYSICS   (Russian Federation)

^b SIBERIAN FEDERAL UNIVERSITY   (Russian Federation)

Author keywords

Bloch dynamics; cold atoms; cyclotron oscillations; optical lattice

Indexed keywords

EID: 84856217743     PISSN: 20950462     EISSN: 20950470     Source Type: Journal    
DOI: 10.1007/s11467-011-0202-3     Document Type: Article

References (13)

1. D. R. Hofstadter, Phys. Rev. B, 1976, 14(6): 2239.
2. R. E. Peiers, Z. Phys., 1993, 80: 763.
3. T. Nakanishi, T. Ohtsuki, and M. Saitoh, J. Phys. Soc. Jpn., 1993, 62(8): 2773.
4. M. Glück, F. Keck, A. R. Kolovsky, and H. J. Korsch, Phys. Rev. Lett., 2001, 86(14): 3116.
5. T. Nakanishi, T. Ohtsuki, and M. Saitoh, J. Phys. Soc. Jpn, 1995, 64(6): 2092.
6. G. Roati, C. D' Errico, L. Fallani, M. Fattori, C. Fort, M. Zaccanti, G. Modugno, M. Modugno, and M. Inguscio, Nature, 2008, 453(7197): 895.
7. S. Aubry and G. André, Ann. Israel. Phys. Soc., 1980, 3: 133.
8. P. G. Harper, Proc. Phys. Soc. A, 1955, 68(10): 874.
9. A. R. Kolovsky, Europhys. Lett., 2011, 93(2): 20003.
10. A. R. Kolovsky and G. Mantica, Phys. Rev. E, 2011, 83(4): 041123.
11. I. Chesnokov, A. R. Kolovsky, and G. Mantica, in preparation.
12. We note that in the experiment [6] the authors used a mirror to create the standing waves. In this work we assume the other scheme of the experimental setup, where the standing waves are formed by counter-propagating laser beams.
13. We recall that there is a family of transporting states in the original problem, each representative of which is naturally characterized by its dispersion in the two orthogonal directions I. Chesnokov, A. R. Kolovsky, and G. Mantica[11].