Abstract.
The work discusses transport of cold atoms in optical lattices. Two related but different problems are considered: interacting Bose atoms subject to a static field (i.e., the atoms in a tilted lattice); and non-interacting atoms in a tilted lattice in the presence of a buffer gas. For these two systems we found, respectively: periodic, quasiperiodic, or decaying Bloch oscillations, as it depends on the strength of atom-atom interactions and the magnitude of the static field; diffusive directed current of atoms, similar to the electron current in ordinary conductors.
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References
M. Ben Dahan et al., Phys. Rev. Lett. 76, 4508 (1996)
O. Morsch et al., Phys. Rev. Lett. 87, 140402 (2001)
M. Greiner et al., Nature 415, 39 (2002)
F.S. Cataliotti et al., New J. Phys. 5, 71.1 (2003)
R.G. Scott et al., Phys. Rev. A 69, 033605 (2004)
L. Pezze et al., Phys. Rev. Lett. 93, 120401 (2004)
B. Paredes et al., Nature 429, 277 (2004)
C.D. Fertig et al., Phys. Rev. Lett. 94, 120403 (2005)
S. Kuhr, W. Alt, D. Schrader, M. Müller, V. Gomer, D. Meschede, Science 293, 278 (2001)
L. Amico, A. Osterloh, F. Cataliotti, Phys. Rev. Lett. 95, 063201 (2005)
M.-J. Giannoni, A. Voros, J. Zinn-Justin (eds.), Chaos and Quantum Physics (North-Holland, Amsterdam, 1991)
A.R. Kolovsky, A. Buchleitner, Europhys. Lett. 68, 632 (2004)
It is worth of noting that the statistical analysis of the spectrum of the Bose-Hubbard model is not a trivial task and one should first decompose the spectrum according to the global symmetries 66. The other option is to introduce a weak disorder, \(\hat{V}=\sum_l \epsilon_l \hat{n}_l\), which breaks all symmetries 70. (`Weak' means here that the Anderson localization length of the single-particle wave functions is much larger than the system size L.)
M. Hiller, T. Kottos, T. Geisel, Phys. Rev. A 73, 061604 (2006)
A.R. Kolovsky, New J. Phys. 8, 197 (2006)
A.R. Kolovsky, Phys. Rev. Lett. 99, 020401 (2007)
M. Rigol, A. Muramatsu, Phys. Rev. A 70, 031603(R) (2004)
A.R. Kolovsky, arXiv:cond-mat/0602100
A.R. Kolovsky, A. Buchleitner, Phys. Rev. E 68, 056213 (2003)
A.R. Kolovsky, Phys. Rev. Lett. 90, 213002 (2003)
H. Ott, E. de Mirandes, F. Ferlaino, G. Roati, G. Modugno, M. Inguscio, Phys. Rev. Lett. 92, 160601 (2004)
This could be, for example, the case of spinless Bose atoms, if one uses the gradient of magnetic field to introduce a static force for Fermi atoms
A.V. Ponomarev, J. Mandroñero, A.R. Kolovsky, A. Buchleitner, Phys. Rev. Lett. 96, 050404 (2006)
Chaotic systems have infinite informational capacity and, because of this, can play the role of a bath. In general aspect this property of chaotic systems is discussed in A.R. Kolovsky, Phys. Rev. E 50, 3569 (1994)
Note, in passing, that for a localized wave packet the master equation ([SEE TEXT]) predicts the diffusive spreading of atoms along the lattice, see A.R. Kolovsky, H.J. Korsch, A.V. Ponomarev, Phys. Rev. A 66, 053405 (2002)
A.V. Ponomarev, Ph.D thesis, 2007
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Kolovsky, A. Transport of cold atoms in optical lattices. Eur. Phys. J. Spec. Top. 151, 103–112 (2007). https://doi.org/10.1140/epjst/e2007-00366-5
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DOI: https://doi.org/10.1140/epjst/e2007-00366-5