Abstract.
We consider a Bose-Einstein condensate of ultracold atoms loaded into a square optical lattice and subject to a static force. For vanishing atom-atom interactions the atoms perform periodic Bloch oscillations for arbitrary direction of the force. We study stability of these oscillations for non-vanishing interactions, which is shown to depend on an alignment of the force vector with respect to the lattice crystallographic axes. If the force is aligned along any of the axes, the mean field approach can be used to identify the stability conditions. On the contrary, for a misaligned force one has to employ the microscopic approach, which predicts periodic modulation of Bloch oscillations in the limit of a large forcing.
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References
B.P. Anderson, M.A. Kasevich, Science 282, 1686 (1998)
M. Jone-Lasinio et al., Phys. Rev. Lett. 91, 230406 (2003); C. Sias et al., Phys. Rev. Lett. 98, 120403 (2007)
M. Raizen, C. Salomon, Q. Niu, Phys. Today 50, 30 (1997)
O. Morsch et al., Phys. Rev. Lett. 87, 140402 (2001)
M. Gustavsson et al., e-print arXiv:0710.5083
M. Fattori et al., e-print arXiv:0710.5131
M. Glück, A.R. Kolovsky, H.J. Korsch, Phys. Rep. 366, 103 (2002)
O. Morsch, M. Oberthaler, Rev. Mod. Phys. 78, 179 (2006)
V.A. Brazhnyi, V.V. Konotop, Mod. Phys. Lett. B 18, 627 (2004)
A.R. Kolovsky, H.J. Korsch, Int. J. Mod. Phys. 18, 1235 (2004)
A.R. Kolovsky, H.J. Korsch, Phys. Rev. A 67, 063601 (2003)
D. Witthaut, F. Keck, H.-J. Korsch, S. Mossmann, New J. Phys. 6, 41 (2004)
M. Snoek, W. Hofstetter, Phys. Rev. A 76, 051603 (2007)
H. Trompeter et al., Phys. Rev. Lett. 96, 053903 (2006)
A. Widera, I. Bloch, private communication
A.R. Kolovsky, e-print arXiv:cond-mat/0412195
The condition Δ>dF modifies the displayed inequality as Δ>dF ≫J>W. For a given (for example, gravitational) force one satisfies the first two inequalities by simply increasing the lattice depth, while the last inequality may require a usage of the Feshbach resonance
A. Smerzi et al., Phys. Rev. Lett. 89, 170402 (2002)
For a different problem this period was observed in the experiment by M. Greiner, O. Mandel, T.W. Hänsch, I. Bloch, Nature 419, 51 (2002)
Yi Zheng, M. Kostrun, J. Javanainen, Phys. Rev. Lett. 93, 230401 (2004)
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Chung, MC., Kolovsky, A. Effect of the lattice alignment on Bloch oscillations of a Bose-Einstein condensate in a square optical lattice. Eur. Phys. J. D 47, 421–425 (2008). https://doi.org/10.1140/epjd/e2008-00060-0
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DOI: https://doi.org/10.1140/epjd/e2008-00060-0