Zusammenfassung
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 reflected in residual
center of mass and size oscillations of the condensate. We further evaluate the
robustness of the protocol against experimental imperfections.
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