Fast manipulation of Bose-Einstein condensates with an atom chip

We present a detailed theoretical analysis of the implementation of
shortcut-to-adiabaticity protocols for the fast transport of neutral atoms with atom
chips. The objective is to engineer transport ramps with durations not exceeding a
few hundred milliseconds to provide metrologically-relevant input states for an atomic
sensor. Aided by numerical simulations of the classical and quantum dynamics, we
study the behavior of a Bose-Einstein condensate in an atom chip setup with realistic
anharmonic trapping. We detail the implementation of fast and controlled transports
over large distances of several millimeters, i.e. distances 1000 times larger than the size
of the atomic cloud. A subsequent optimized release and collimation step demonstrates
the capability of our transport method to generate ensembles of quantum gases with
expansion speeds in the picokelvin regime. The performance of this procedure is
analyzed in terms of collective excitations re
ected in residual center of mass and
size oscillations of the condensate. We further evaluate the robustness of the protocol
against experimental imperfections.