RT Journal Article T1 Stable Bloch oscillations of cold atoms with time-dependent interaction A1 Gaul, Christopher A1 Lima, R. P. A. A1 Díaz García, Elena A1 Mueller, C. A. A1 Domínguez-Adame Acosta, Francisco AB 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. PB American Physical Society SN 0031-9007 YR 2009 FD 2009-06-26 LK https://hdl.handle.net/20.500.14352/44400 UL https://hdl.handle.net/20.500.14352/44400 LA eng NO © 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 NO MEC NO BSCH-UCM NO DFG NO DAAD DS Docta Complutense RD 8 abr 2025