%0 Journal Article
%A Gaul, Christopher
%A Díaz García, Elena
%A Lima, Rodrigo P. A
%A Domínguez-Adame Acosta, Francisco
%A Mueller, C. A.
%T Stability and decay of Bloch oscillations in the presence of time-dependent nonlinearity
%D 2011
%@ 1050-2947
%U https://hdl.handle.net/20.500.14352/44388
%X We consider Bloch oscillations of Bose-Einstein condensates in the presence of a time-modulated s-wave scattering length. Generically, the interaction leads to dephasing and decay of the wave packet. Based on a cyclic-time argument, we find-in addition to the linear Bloch oscillation and a rigid soliton solution-an infinite family of modulations that lead to a periodic time evolution of the wave packet. In order to quantitatively describe the dynamics of Bloch oscillations in the presence of time-modulated interactions, we employ two complementary methods: collective coordinates and the linear stability analysis of an extended wave packet. We provide instructive examples and address the question of robustness against external perturbations.
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