Abstract

We study the dynamics of repulsive and attractive Bose-Einstein condensates. While previous works used the Gross-Pitaevskii equation to calculate this process, we employ a kinetic dynamics approach similar to the famous Hartree-Fock-Bogoliubov equations. Therefore we are able to take into account excitations of the condensate as well as its depletion rate. We apply it to the transport of repulsive Bose-Einstein condensates and the scattering problem of a propagating soliton on an attractive potential, where previous works showed a sharp transition from total reflection to full transmission.

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