Dynamics of matter-wave solitons in harmonic traps with flashing optical lattices

T. J. Alexander, K. Heenan, M. Salerno, E. A. Ostrovskaya
2012 Physical Review A. Atomic, Molecular, and Optical Physics  
We study, analytically and numerically, the dynamics of a matter-wave soliton formed by a Bose-Einstein condensate with an attractive interatomic interaction confined in a one-dimensional harmonic trap and subjected to a flashing weak periodic potential. Within the framework of the Gross-Pitaevski equation, we show that efficient energy transfer to the soliton occurs within two distinct frequency regimes: (a) on resonance with the trapping frequency and (b) on resonance with the internal mode
more » ... the soliton. We find that the former regime is well described within the soliton-as-particle approximation, while the latter relies on the extended nature of the localized state and involves strong excitations of the width coupled to translational motion.
doi:10.1103/physreva.85.063626 fatcat:dahaz55jrvaijjxg76bpp3iqcu