Publication: Stable Bloch oscillations of cold atoms with time-dependent interaction
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2009-06-26
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American Physical Society
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Abstract
We investigate Bloch oscillations of interacting cold atoms in a mean-field framework. In general, atom-atom interaction causes dephasing and destroys Bloch oscillations. Here we show that Bloch oscillations are persistent if the interaction is modulated harmonically with suitable frequency and phase. For other modulations, Bloch oscillations are rapidly damped. We explain this behavior in terms of collective coordinates whose Hamiltonian dynamics permits one to predict a whole family of stable solutions. In order to describe also the unstable cases, we carry out a stability analysis for Bogoliubov excitations. Using Floquet theory, we are able to predict the unstable modes as well as their growth rate, found to be in excellent agreement with numerical simulations.
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© 2009 The American Physical Society.
Travel between Bayreuth and Madrid is supported by the DAAD-MEC joint program Acciones Integradas. Work at Madrid was supported by MEC (Project MOSAICO) and BSCH-UCM (Project No. PR34/07-15916). R. P. A. L. ac knowledges support by MEC through the Juan de la Cierva program and G. Rowlands for helpful discussions. C. G. acknowledges support by DFG and DAAD, and C. M. acknowledges helpful discussions with Y. Gaididei
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